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Dec 12, 2025

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15 pages

Introduction to Microeconomics

_

_qpjx @_qpjx

Economics is the study of how societies use scarce resources to produce valuable goods and services, then distribute... Show more

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Factors of Production & Opportunity Cost

Ever wondered what makes an economy tick? It all starts with the four factors of production land (natural resources), labor (human effort), capital equipment/toolsequipment/tools, and entrepreneurs (who combine the other factors). Without any one of these, production can't happen!

When resources are fully utilized, we face trade-offs. Since resources are limited and scarce, producing more of one good means giving up the opportunity to produce something else. This sacrifice is called the opportunity cost - the next best alternative you give up.

The Production Possibility Frontier (PPF) shows the maximum combinations of goods an economy can produce when using all its resources efficiently. Points on the curve represent efficient production, points inside represent underutilized resources (wasted potential!), and points outside are impossible to reach with current resources.

💡 Real-world application When you choose to spend Saturday studying instead of going to the movies, the fun you miss out on is your opportunity cost of studying. Similarly, when a country decides to build more hospitals instead of schools, they're making a trade-off based on their priorities.

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Production Possibility Frontier & Economic Growth

The PPF shows what's possible in an economy right now. A straight-line PPF means constant opportunity cost (giving up the same amount each time), while a curved PPF shows increasing opportunity cost (giving up more and more each time).

Points to remember about the PPF

  • Points on the curve = efficient production using all resources
  • Points inside = underutilized resources (no opportunity cost)
  • Points outside = unattainable with current resources

Economic growth shifts the entire PPF outward, allowing an economy to produce more of everything. This happens through

  1. Increasing the quantity of resources (more workers, machines, land)
  2. Improving the quality of resources (better technology, more skilled workers)

🔍 Think about it Before technological development, nations tend to be poorer with fewer comforts. After development with more resources and better technology, nations become wealthier, offering citizens a higher standard of living. This is economic growth in action!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Economic Systems

Different countries organize their economies in different ways. There are three main economic systems

Free market economies like Hong Kong rely on the "invisible hand" of markets to make decisions. Consumers and businesses interact directly through goods and factor markets without much government involvement. Prices signal what should be produced.

Command economies like North Korea have the government controlling all resources and making all economic decisions. The government owns industries and decides what to produce based on what benefits the most people (at least in theory!).

Mixed economies (most countries, including Singapore) combine elements of both systems. The government, consumers, and producers all participate in economic decision-making. Most modern economies fall into this category.

💡 The system a country uses affects everything from what products are available to how much they cost and who has access to them. Singapore's mixed system allows for entrepreneurship while still giving government a role in key sectors.

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Circular Flow of Economic Activity

Money and goods move through an economy in a continuous circular flow. Think of it as two interconnected loops

In the resource market, households provide land, labor, and capital to firms in exchange for rent, wages, and interest. In the product market, firms sell goods and services to households who pay with the income they earned.

The goals differ for each participant firms aim to maximize profits (revenue > costs), while households aim to maximize utility (happiness through consumption). The government influences this flow through taxes, transfer payments, and services.

Economic systems determine how this flow works. In free markets, decisions are made by individuals through the "invisible hand" of price signals. In command economies, the government manages all resources. Mixed economies blend both approaches.

🔑 Understanding this flow helps you see how your role as a consumer connects to your role as a worker. The money you earn flows back into the economy when you spend it, creating a continuous cycle!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Law of Diminishing Marginal Utility

Ever notice how your first slice of pizza tastes amazing, but by the third slice, you're not enjoying it as much? That's the Law of Diminishing Marginal Utility in action!

Utility is the happiness or satisfaction you get from consuming something, often measured in theoretical units called "utils." Marginal utility is the additional satisfaction gained from consuming one more unit of something.

As you consume more units of the same item, each additional unit typically provides less satisfaction than the previous one. Eventually, consuming more might actually decrease your total satisfaction (like that fifth slice of pizza making you feel sick).

🍦 Think about ice cream The first scoop might give you 10 utils of happiness, the second adds 8 more, the third only 5 more. Smart consumption means stopping when marginal utility equals zero - when having more won't make you any happier!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Indifference Curves & Budget Lines

Indifference curves show different combinations of goods that give you the same level of satisfaction. Curves farther to the right represent higher utility (more happiness). These curves help us understand consumer choices.

The budget line represents all combinations of goods you can afford with your income. When your income increases, the budget line shifts outward (parallel). If a good's price changes while income stays constant, the budget line pivots.

Your optimal consumption point is where your budget line touches (is tangent to) the highest possible indifference curve. This is the best combination of goods you can afford that gives you maximum satisfaction.

💸 Real-life application If you have $50 to spend on movies and meals, your budget line shows all the combinations you can afford. Your indifference curves show which combinations you'd enjoy equally. Where they meet is your best choice!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Shifts vs. Movement Along Curves

Understanding the difference between shifts and movements on supply and demand curves is crucial in economics

A movement along a curve happens when the price of a good changes, causing the quantity demanded or supplied to change. You're simply moving from one point to another on the same curve.

A shift of the entire curve happens when any factor other than price causes a change in supply or demand. The curve moves left or right, creating a new equilibrium point with a different price and quantity.

🔑 Think of it this way If the price of coffee rises and you buy less, that's a movement along your demand curve. If your income increases and you start buying more coffee at every price point, that's a shift of your entire demand curve to the right!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Laws of Supply and Demand

The Law of Demand states that as price increases, quantity demanded decreases (and vice versa) - creating a downward-sloping demand curve. This inverse relationship exists because consumers want to save money when prices rise.

The Law of Supply states that as price increases, quantity supplied increases (and vice versa) - creating an upward-sloping supply curve. This direct relationship exists because producers want to sell more when they can get higher prices.

Several factors can shift these curves

  • Demand shifts with changes in income, population, preferences, expected future prices, or prices of related goods
  • Supply shifts with changes in technology, expected future prices, production costs, or number of suppliers

📊 When shifts occur, equilibrium changes. If demand increases (shifts right), both equilibrium price and quantity rise. If supply increases (shifts right), equilibrium quantity rises but price falls. These principles explain countless market changes you see every day!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Price Elasticity

Price elasticity measures how responsive quantity is to changes in price. It's calculated as percentage change in quantity ÷ percentage change in price.

For elastic demand (elasticity > 1), quantity changes proportionally more than price changes. Luxury items like airfare typically have elastic demand because people have alternatives and can easily cut back when prices rise.

For inelastic demand (elasticity < 1), quantity changes proportionally less than price changes. Necessities like education typically have inelastic demand because people will keep buying them even when prices increase.

🚗 Think about gasoline Despite price fluctuations, many people need a specific amount to get to work, making gas relatively inelastic in the short run. But luxury items like vacation packages are highly elastic - when prices rise, many people simply don't take that vacation!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Elasticity of Supply and Demand

The elasticity concept applies to both demand and supply, measuring how responsive quantities are to price changes. The steepness of the curves visually represents elasticity.

Two extreme cases illustrate the concept

  • Perfectly inelastic curves are vertical - quantity doesn't change at all regardless of price changes
  • Perfectly elastic curves are horizontal - even a tiny price change causes an infinite quantity change

In reality, most goods fall somewhere between these extremes. Supply elasticity depends on several factors

  • Available spare production capacity
  • Existing inventory stocks
  • How easily production factors can be substituted
  • Time period (supply is usually more elastic in the long run)

💡 Understanding elasticity helps businesses set optimal prices. If demand for your product is elastic, raising prices will decrease revenue because the drop in sales outweighs the higher per-unit price. If demand is inelastic, raising prices can increase revenue!

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

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I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

 

Fun Stuff

124

Dec 12, 2025

15 pages

Introduction to Microeconomics

_

_qpjx

@_qpjx

Economics is the study of how societies use scarce resources to produce valuable goods and services, then distribute them among individuals. It explores the trade-offs we make when resources are limited, and how markets function to allocate these resources. Understanding... Show more

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Factors of Production & Opportunity Cost

Ever wondered what makes an economy tick? It all starts with the four factors of production: land (natural resources), labor (human effort), capital equipment/toolsequipment/tools, and entrepreneurs (who combine the other factors). Without any one of these, production can't happen!

When resources are fully utilized, we face trade-offs. Since resources are limited and scarce, producing more of one good means giving up the opportunity to produce something else. This sacrifice is called the opportunity cost - the next best alternative you give up.

The Production Possibility Frontier (PPF) shows the maximum combinations of goods an economy can produce when using all its resources efficiently. Points on the curve represent efficient production, points inside represent underutilized resources (wasted potential!), and points outside are impossible to reach with current resources.

💡 Real-world application: When you choose to spend Saturday studying instead of going to the movies, the fun you miss out on is your opportunity cost of studying. Similarly, when a country decides to build more hospitals instead of schools, they're making a trade-off based on their priorities.

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Production Possibility Frontier & Economic Growth

The PPF shows what's possible in an economy right now. A straight-line PPF means constant opportunity cost (giving up the same amount each time), while a curved PPF shows increasing opportunity cost (giving up more and more each time).

Points to remember about the PPF:

  • Points on the curve = efficient production using all resources
  • Points inside = underutilized resources (no opportunity cost)
  • Points outside = unattainable with current resources

Economic growth shifts the entire PPF outward, allowing an economy to produce more of everything. This happens through:

  1. Increasing the quantity of resources (more workers, machines, land)
  2. Improving the quality of resources (better technology, more skilled workers)

🔍 Think about it: Before technological development, nations tend to be poorer with fewer comforts. After development with more resources and better technology, nations become wealthier, offering citizens a higher standard of living. This is economic growth in action!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Economic Systems

Different countries organize their economies in different ways. There are three main economic systems:

Free market economies like Hong Kong rely on the "invisible hand" of markets to make decisions. Consumers and businesses interact directly through goods and factor markets without much government involvement. Prices signal what should be produced.

Command economies like North Korea have the government controlling all resources and making all economic decisions. The government owns industries and decides what to produce based on what benefits the most people (at least in theory!).

Mixed economies (most countries, including Singapore) combine elements of both systems. The government, consumers, and producers all participate in economic decision-making. Most modern economies fall into this category.

💡 The system a country uses affects everything from what products are available to how much they cost and who has access to them. Singapore's mixed system allows for entrepreneurship while still giving government a role in key sectors.

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Circular Flow of Economic Activity

Money and goods move through an economy in a continuous circular flow. Think of it as two interconnected loops:

In the resource market, households provide land, labor, and capital to firms in exchange for rent, wages, and interest. In the product market, firms sell goods and services to households who pay with the income they earned.

The goals differ for each participant: firms aim to maximize profits (revenue > costs), while households aim to maximize utility (happiness through consumption). The government influences this flow through taxes, transfer payments, and services.

Economic systems determine how this flow works. In free markets, decisions are made by individuals through the "invisible hand" of price signals. In command economies, the government manages all resources. Mixed economies blend both approaches.

🔑 Understanding this flow helps you see how your role as a consumer connects to your role as a worker. The money you earn flows back into the economy when you spend it, creating a continuous cycle!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Law of Diminishing Marginal Utility

Ever notice how your first slice of pizza tastes amazing, but by the third slice, you're not enjoying it as much? That's the Law of Diminishing Marginal Utility in action!

Utility is the happiness or satisfaction you get from consuming something, often measured in theoretical units called "utils." Marginal utility is the additional satisfaction gained from consuming one more unit of something.

As you consume more units of the same item, each additional unit typically provides less satisfaction than the previous one. Eventually, consuming more might actually decrease your total satisfaction (like that fifth slice of pizza making you feel sick).

🍦 Think about ice cream: The first scoop might give you 10 utils of happiness, the second adds 8 more, the third only 5 more. Smart consumption means stopping when marginal utility equals zero - when having more won't make you any happier!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Indifference Curves & Budget Lines

Indifference curves show different combinations of goods that give you the same level of satisfaction. Curves farther to the right represent higher utility (more happiness). These curves help us understand consumer choices.

The budget line represents all combinations of goods you can afford with your income. When your income increases, the budget line shifts outward (parallel). If a good's price changes while income stays constant, the budget line pivots.

Your optimal consumption point is where your budget line touches (is tangent to) the highest possible indifference curve. This is the best combination of goods you can afford that gives you maximum satisfaction.

💸 Real-life application: If you have $50 to spend on movies and meals, your budget line shows all the combinations you can afford. Your indifference curves show which combinations you'd enjoy equally. Where they meet is your best choice!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Shifts vs. Movement Along Curves

Understanding the difference between shifts and movements on supply and demand curves is crucial in economics:

A movement along a curve happens when the price of a good changes, causing the quantity demanded or supplied to change. You're simply moving from one point to another on the same curve.

A shift of the entire curve happens when any factor other than price causes a change in supply or demand. The curve moves left or right, creating a new equilibrium point with a different price and quantity.

🔑 Think of it this way: If the price of coffee rises and you buy less, that's a movement along your demand curve. If your income increases and you start buying more coffee at every price point, that's a shift of your entire demand curve to the right!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Laws of Supply and Demand

The Law of Demand states that as price increases, quantity demanded decreases (and vice versa) - creating a downward-sloping demand curve. This inverse relationship exists because consumers want to save money when prices rise.

The Law of Supply states that as price increases, quantity supplied increases (and vice versa) - creating an upward-sloping supply curve. This direct relationship exists because producers want to sell more when they can get higher prices.

Several factors can shift these curves:

  • Demand shifts with changes in income, population, preferences, expected future prices, or prices of related goods
  • Supply shifts with changes in technology, expected future prices, production costs, or number of suppliers

📊 When shifts occur, equilibrium changes. If demand increases (shifts right), both equilibrium price and quantity rise. If supply increases (shifts right), equilibrium quantity rises but price falls. These principles explain countless market changes you see every day!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Price Elasticity

Price elasticity measures how responsive quantity is to changes in price. It's calculated as: percentage change in quantity ÷ percentage change in price.

For elastic demand (elasticity > 1), quantity changes proportionally more than price changes. Luxury items like airfare typically have elastic demand because people have alternatives and can easily cut back when prices rise.

For inelastic demand (elasticity < 1), quantity changes proportionally less than price changes. Necessities like education typically have inelastic demand because people will keep buying them even when prices increase.

🚗 Think about gasoline: Despite price fluctuations, many people need a specific amount to get to work, making gas relatively inelastic in the short run. But luxury items like vacation packages are highly elastic - when prices rise, many people simply don't take that vacation!

Economics is the study of how societies use scarce resources to produce
valuable goods & services and distribute them among diff individuals

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Elasticity of Supply and Demand

The elasticity concept applies to both demand and supply, measuring how responsive quantities are to price changes. The steepness of the curves visually represents elasticity.

Two extreme cases illustrate the concept:

  • Perfectly inelastic curves are vertical - quantity doesn't change at all regardless of price changes
  • Perfectly elastic curves are horizontal - even a tiny price change causes an infinite quantity change

In reality, most goods fall somewhere between these extremes. Supply elasticity depends on several factors:

  • Available spare production capacity
  • Existing inventory stocks
  • How easily production factors can be substituted
  • Time period (supply is usually more elastic in the long run)

💡 Understanding elasticity helps businesses set optimal prices. If demand for your product is elastic, raising prices will decrease revenue because the drop in sales outweighs the higher per-unit price. If demand is inelastic, raising prices can increase revenue!

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user