Chapters 5 and 6 of OpenStax Principles of Economics 3e. Every section of both chapters, including the boxes and named examples, with the calculations shown step by step.
Test questions for this textbook are written from every part of each chapter: the main text, but also the worked "Work It Out" boxes, the "Clear It Up" boxes, the tables of real figures, the named examples (Netflix, the coffee market, the UK child allowance) and the "Bring It Home" endings. A student who studies only the big ideas meets questions about these details and feels she has never seen them. Tab 5 covers every one of those details for Chapters 5 and 6.
The second reason is disguise. Multiple-choice questions take a familiar idea and wrap it in a story about a product she has never thought about. The idea underneath is almost always one of the twelve below. When a question looks strange, she should name which of the twelve it is testing before she reads the options.
Test 2 covers two chapters while the other tests cover three, yet every test is worth the same 15%. That makes each of Chapters 5 and 6 worth about 9.8% of her final grade, against about 7.3% for every other chapter. With roughly 50 questions, an A (93) allows only three or four misses.
Economics writes long ideas in short symbols. Learn this key first and every formula on the page becomes a sentence you can read aloud.
The one idea: elasticity measures how strongly one thing reacts when another thing changes. Big reaction, elastic. Small reaction, inelastic.
In plain words: find how much it changed, divide by the average of before and after, multiply by 100.
In plain words: for each 1% change in price, by how many percent does the amount buyers want change? The answer comes out negative because price and quantity demanded move in opposite directions; we report it without the minus sign.
| Value of Ed | Name | Meaning |
|---|---|---|
| Ed > 1 | Elastic | Quantity reacts by a bigger % than price changed |
| Ed = 1 | Unitary | Quantity reacts by exactly the same % |
| Ed < 1 | Inelastic | Quantity reacts by a smaller % |
| Ed = 0 | Perfectly inelastic | No reaction at all; vertical curve |
| Ed = ∞ | Perfectly elastic | ∞ means infinite: any price rise loses every buyer; horizontal curve |
In plain words: for each 1% change in price, how many percent more (or less) do sellers offer? It is positive, because sellers offer more when price rises.
In plain words: when income rises 1%, how does the amount bought change? Here we keep the sign, because the sign tells you the type of good.
In plain words: when the price of B rises 1%, what happens to purchases of A? Keep the sign.
In plain words: the same idea in the job market and the savings market. Teenagers' labor supply is fairly elastic; prime-age adults' is fairly inelastic. Savings appear fairly inelastic in the short run.
In plain words: the same formula rearranged. Multiply to find the quantity change; divide to find the price change needed.
| If demand is | Raise price | Cut price | Why |
|---|---|---|---|
| Elastic (Ed > 1) | TR falls | TR rises | Q moves by a bigger % than P |
| Unitary (Ed = 1) | TR same | TR same | The two % changes cancel |
| Inelastic (Ed < 1) | TR rises | TR falls | Q moves by a smaller % than P |
In plain words: the tax opens a gap between what buyers pay and what sellers keep. The side that cannot easily walk away (the more inelastic side) ends up paying more of that gap.
The one idea: a consumer with limited money spreads it across goods so that the last dollar spent on each good brings the same extra satisfaction.
In plain words: how much extra satisfaction did one more unit add? If 2 slices give 50 utils and 3 give 62, the third slice added 12.
In plain words: satisfaction per dollar, or "bang for the buck". A $4 smoothie giving 20 utils gives 5 utils per dollar.
In plain words: she has reached her best choice when the last dollar spent on each good gives the same extra satisfaction, and her money is used up.
In plain words: spending on X plus spending on Y uses up her income. The line shows every combination she can just afford.
| Change | What the budget line does |
|---|---|
| I rises or falls | Shifts out or in, parallel. Slope unchanged, because prices did not change. |
| Px rises | Rotates inward, hinged at the y-axis intercept (I ÷ Py has not changed) |
| Py falls | Rotates outward, hinged at the x-axis intercept (I ÷ Px has not changed) |
The idea: elasticity measures how strongly buyers react when the price changes. A big reaction is elastic; a small one is inelastic.
A campus coffee shop raises a latte from $4.00 to $5.00. Daily sales fall from 220 cups to 180 cups. Find the price elasticity of demand.
| # | What we do | Working |
|---|---|---|
| 1 | Write down the two quantities | Q₁ = 220 (before), Q₂ = 180 (after) |
| 2 | Change in quantity, ΔQ = Q₂ − Q₁ | 180 − 220 = −40 |
| 3 | Average quantity | (180 + 220) ÷ 2 = 200 |
| 4 | % change in quantity | −40 ÷ 200 × 100 = −20% |
| 5 | Change in price, ΔP = P₂ − P₁ | 5.00 − 4.00 = 1.00 |
| 6 | Average price | (5.00 + 4.00) ÷ 2 = 4.50 |
| 7 | % change in price | 1.00 ÷ 4.50 × 100 = 22.22% |
| 8 | Quantity % over price % | −20 ÷ 22.22 = −0.90 |
| 9 | Report as a positive number (absolute value) | | −0.90 | = 0.90 |
| 10 | Classify | 0.90 < 1, so demand is inelastic |
| 11 | Check with total revenue | before 4 × 220 = 880; after 5 × 180 = 900 |
A band cuts ticket prices from $40 to $30. Tickets sold rise from 800 to 1,200.
| 1–2 | Change in quantity | 1,200 − 800 = 400 |
| 3 | Average quantity | (1,200 + 800) ÷ 2 = 1,000 |
| 4 | % change in quantity | 400 ÷ 1,000 × 100 = 40% |
| 5–7 | % change in price | your turn |
| 8–10 | Elasticity and class | your turn |
| Change in price | 30 − 40 = −10 |
| Average price | (30 + 40) ÷ 2 = 35 |
| % change in price | −10 ÷ 35 × 100 = −28.57% |
| Elasticity | 40 ÷ −28.57 = −1.40, reported as 1.40 |
| Class and check | 1.40 > 1, elastic. Revenue 32,000 → 36,000 rose after a price cut, as elastic predicts. |
A bakery's price for a loaf rises from $2.00 to $2.50, and the bakery increases the quantity it offers from 300 to 400 loaves a day. The method is identical; only the quantity is now quantity supplied.
| % change in quantity | (400 − 300) ÷ 350 × 100 = 100 ÷ 350 × 100 = 28.57% |
| % change in price | (2.50 − 2.00) ÷ 2.25 × 100 = 0.50 ÷ 2.25 × 100 = 22.22% |
| Elasticity | 28.57 ÷ 22.22 = 1.29, elastic supply |
Many test questions hand over the elasticity and ask for the effect. Rearrange the same formula.
In plain words: E = %ΔQ ÷ %ΔP rearranged. If E is 2.5, quantity moves 2.5 times as many percent as price does.
| # | Worked: elasticity 2.5, price falls 4% | Working |
|---|---|---|
| 1 | Pick the form that solves for quantity | %ΔQ = 2.5 × 4 |
| 2 | Multiply | = 10 |
| 3 | Direction: price fell, so quantity demanded rises | quantity rises 10% |
| # | Worked: elasticity 0.3, goal is 15% less smoking | Working |
|---|---|---|
| 1 | Solve for price instead | %ΔP = 15 ÷ 0.3 |
| 2 | Divide | = 50 |
| 3 | Read it | price must rise 50% |
(a) Demand elasticity is 0.6. How much must price rise to cut quantity demanded by 12%? (b) Restaurant meals have elasticity 2.27. If prices rise 10%, by what % does quantity fall?
(a) 12 ÷ 0.6 = 20%. (b) 2.27 × 10 = 22.7%.
A food truck raises a wrap from $8 to $12, and daily sales drop from 60 to 40.
| 1 | % change in quantity | (40 − 60) ÷ 50 × 100 = −40% |
| 2 | % change in price | (12 − 8) ÷ 10 × 100 = 40% |
| 3 | Elasticity | 40 ÷ 40 = 1.00, unitary |
| 4 | Revenue check | 8 × 60 = 480; 12 × 40 = 480. Unchanged. |
For price elasticity of demand we drop the minus sign. For income and cross-price elasticity we keep it, because the sign tells you what kind of good it is.
In plain words: the same calculation as price elasticity; only the cause changes. Income elasticity asks how buying reacts to income. Cross-price asks how buying one good reacts to another good's price.
| # | Worked: income $40,000 → $50,000; restaurant meals 10 → 14 a month | Working |
|---|---|---|
| 1 | % change in quantity | (14 − 10) ÷ 12 × 100 = 33.33% |
| 2 | % change in income | 10,000 ÷ 45,000 × 100 = 22.22% |
| 3 | Divide | 33.33 ÷ 22.22 = +1.50 |
| 4 | Read the sign | positive, so a normal good |
Same income rise ($40,000 → $50,000, which is +22.22%). Packs of instant noodles fall from 30 to 24 a month. Step 1 is (24 − 30) ÷ 27 × 100.
−6 ÷ 27 × 100 = −22.22%. −22.22 ÷ 22.22 = −1.00. Negative, so inferior: as income rises she buys less of it.
(a) Tea rises from $3 to $4 a box; coffee bought rises from 100 to 120 bags. (b) Printers rise from $100 to $150; ink cartridges bought fall from 500 to 400. Give each cross-price elasticity with its sign.
| (a) % change in coffee | 20 ÷ 110 × 100 = 18.18% |
| (a) % change in tea price | 1 ÷ 3.5 × 100 = 28.57% |
| (a) Result | 18.18 ÷ 28.57 = +0.64, substitutes |
| (b) % change in ink | −100 ÷ 450 × 100 = −22.22% |
| (b) % change in printer price | 50 ÷ 125 × 100 = 40% |
| (b) Result | −22.22 ÷ 40 = −0.56, complements |
Along a demand curve, price and quantity demanded always move in opposite directions, so one percentage change is positive and the other negative. Economists report the absolute value by convention.
At the top, where price is high and quantity is low. A one-unit change in quantity is a big percentage of a small quantity, and a $1 change in price is a small percentage of a high price. Big numerator over small denominator gives a large elasticity. At the bottom the reverse happens.
No. It is one percentage divided by another, so the units cancel. That is why we can compare the elasticity of housing with the elasticity of restaurant meals.
In plain words: if 2 smoothies give 38 utils and 3 give 54, the third smoothie added 54 − 38 = 16 utils.
Amara has $40. Smoothies cost $4. Movie tickets cost $8. Her marginal utilities:
| Unit | Smoothie MU | Smoothie TU | MU ÷ $4 | Movie MU | Movie TU | MU ÷ $8 |
|---|---|---|---|---|---|---|
| 1 | 20 | 20 | 5.0 | 32 | 32 | 4.0 |
| 2 | 18 | 38 | 4.5 | 28 | 60 | 3.5 |
| 3 | 16 | 54 | 4.0 | 24 | 84 | 3.0 |
| 4 | 12 | 66 | 3.0 | 16 | 100 | 2.0 |
| 5 | 8 | 74 | 2.0 | 8 | 108 | 1.0 |
| 6 | 6 | 80 | 1.5 | |||
| 7–10 | 4, 2, 1, 0 | 84, 86, 87, 87 | 1.0, 0.5, 0.25, 0 |
In plain words: always buy the next unit that gives the most satisfaction per dollar, as long as she can still afford it. She ends where the last dollar on each good gives the same satisfaction.
| # | Compare next smoothie vs next movie | Decision | Money left |
|---|---|---|---|
| 1 | smoothie #1: 20 ÷ 4 = 5.0 vs movie #1: 32 ÷ 8 = 4.0 | smoothie | 40 − 4 = 36 |
| 2 | smoothie #2: 18 ÷ 4 = 4.5 vs movie #1: 4.0 | smoothie | 36 − 4 = 32 |
| 3 | smoothie #3: 16 ÷ 4 = 4.0 vs movie #1: 4.0 | tie, buy both | 32 − 4 − 8 = 20 |
| 4 | smoothie #4: 12 ÷ 4 = 3.0 vs movie #2: 28 ÷ 8 = 3.5 | movie | 20 − 8 = 12 |
| 5 | smoothie #4: 3.0 vs movie #3: 24 ÷ 8 = 3.0 | tie, buy both | 12 − 4 − 8 = 0 |
| 6 | Result | 4 smoothies + 3 movies; 16 + 24 = $40 spent | |
| 7 | Check the rule at the last units | 12 ÷ 4 = 3.0 and 24 ÷ 8 = 3.0. Equal. | |
| 8 | Total utility | 66 + 84 = 150 | |
Check by brute force, every affordable combination that spends the full $40:
| Smoothies | 10 | 8 | 6 | 4 | 2 | 0 |
|---|---|---|---|---|---|---|
| Movies | 0 | 1 | 2 | 3 | 4 | 5 |
| Total utility | 87 | 118 | 140 | 150 | 138 | 108 |
Kofi has $27. Juice costs $3, sandwiches cost $6.
| Unit | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Juice MU | 15 | 12 | 9 | 6 | 3 |
| Sandwich MU | 30 | 24 | 18 | 12 | 6 |
| MU per $ for juice | 15÷3 = 5, 12÷3 = 4, 9÷3 = 3, 6÷3 = 2, 3÷3 = 1 |
| MU per $ for sandwiches | 30÷6 = 5, 24÷6 = 4, 18÷6 = 3, 12÷6 = 2, 6÷6 = 1 |
| Buy in order | juice #1 + sandwich #1 (5 each): $9; then #2 of each (4 each): $9; then #3 of each (3 each): $9 |
| Result | 3 juices + 3 sandwiches = $27; TU = 36 + 72 = 108; MU per $ = 3 for both |
| Check alternatives | 5 juices + 2 sandwiches = 45 + 54 = 99; 1 juice + 4 sandwiches = 15 + 84 = 99 |
In plain words: money spent on X plus money spent on Y equals her income. Here X = smoothies (Px = $4), Y = movies (Py = $8), I = $40, so 4X + 8Y = 40.
Put smoothies on the horizontal axis and movies on the vertical axis.
| 1 | Horizontal intercept: all money on smoothies | 40 ÷ 4 = 10 smoothies |
| 2 | Vertical intercept: all money on movies | 40 ÷ 8 = 5 movies |
| 3 | Slope = rise ÷ run | −5 ÷ 10 = −0.5 |
| 4 | Same as minus the price ratio (x-good over y-good) | −(4 ÷ 8) = −0.5 |
Income $60. Good X (horizontal) costs $5. Good Y (vertical) costs $10.
60 ÷ 5 = 12; 60 ÷ 10 = 6; slope = −6 ÷ 12 = −0.5 = −(5 ÷ 10).
Suppose movie tickets rise from $8 to $10 and Amara still has $40.
No. Utils are personal. Each person measures on their own scale, so utils cannot be compared between people.
The theory only needs each person to be able to say which of two options they prefer. The numbers are a convenient way to describe that ranking, and the end product, the demand curve, can be measured.
Spend less on shirts and more on movies. As she buys more movies their MU falls; as she buys fewer shirts their MU rises. She stops when the two are equal.
Each card covers one section of the textbook, including the side boxes and named examples. These are the details that make a question feel unfamiliar. Read each card, then answer its check before opening it.
Elastic, because it is above 1. Quantity supplied moves by a bigger percentage than price.
The vertical one. Price can change by any amount and quantity does not change at all.
In plain words: the tax opens a gap between what buyers pay and what sellers keep. The gap is the tax. Each side's share is how far its price moved away from the old price Pe.
Buyers pay $12 − $10 = $2. Sellers receive $12 − $3 = $9, a burden of $10 − $9 = $1. Buyers bear more, so demand is the more inelastic side.
When price rises, buyers have somewhere else to go, so quantity demanded falls by a larger percentage.
It is exactly twice as large, so MU per dollar is equal.
For her, getaways are an inferior good.
Interest paid 1,000 × 0.15 = $150. Interest earned 2,000 × 0.02 = $40. Net loss $110 a year. Paying the debt off leaves $1,000 earning $20, the same net worth with a $20 gain.
Answer in one sitting. Options are shuffled each time. Only the first click on each question counts toward the score. After answering, read why every option is right or wrong, not just the correct one.