ARE 201 · Fall 2026

Exam 1 Review

Before we begin

Exam 1 · Friday, September 18

Fri, Sep 18

In class, on paper

1:55–2:45 PM

50 minutes. Arrive on time; late arrival does not add testing time.

25 questions

Multiple choice, 1 point each

Bring to the exam

One 4×6 index card

Handwritten, front and back. Put graphs and worked examples on it; exam questions focus on applying the concepts.

You keep your card after the exam. Take a photo of it anyway, so you can reuse your notes when preparing for the final.

A basic calculator

No scientific or graphing calculators. Phones, watches, and printed notes are not allowed during the exam.

Checklist for Friday: one 4×6 note card + one basic calculator. That is all you need.
Foundations · identify the economic idea

Every choice uses scarce resources

Scarcity

One greenhouse can grow herbs or seedlings. Its space cannot satisfy every possible use.

Scarcity: limited resources have competing uses. A shortage instead means Qd > Qs at a particular price.

Opportunity
cost

You choose to study. Your next-best option is a shift paying $54 with $14 in extra travel costs.

OC = $40, the net benefit of that next-best option. Do not add every rejected alternative.

Incentives

A payment for installing drip irrigation makes adoption more attractive to farms.

People respond to incentives: a higher net benefit can change the choice.
Name the concept before revealing it.
A nonrefundable payment already made is a sunk cost. Ignore it when deciding what to do now.
Foundations · facts and value judgments

Could evidence test the statement?

Positive

A claim about what happens.
Evidence could support or reject it.

Testable does not mean true.

Normative

A claim about what should happen.
It includes a value judgment.

“Fair,” “should,” and “deserve” are clues.

Which statement is positive?
Practice · positive and normative analysis

Classify the claim and explain why

For each statement, decide whether it is positive or normative. Do not decide whether you agree with it.

1. A $0.50-per-pack cigarette tax will cut teenage smoking by 12%.

Positive: a prediction that could be checked against evidence.

2. The government should spend more on AI research.

Normative: it recommends what the government should do.

3. Rising paper prices will increase textbook prices.

Positive: a testable claim about how one price affects another.

4. The price of housing in China is too high.

Normative: “too high” requires a judgment about an acceptable price.
PPF · read the constraint

Read the endpoints before calculating

A farm can produce 48 crates of berries or 24 crates of beans, with a constant trade-off.

Both axes measure crates. Resources and technology are fixed.

1

What is the OC of one more crate of berries?

2

If the farm produces 10 crates of beans, what is its maximum berry output?

3

Is point I feasible? Is it productively efficient?

OC of 1 berry = 24/48 = 0.5 bean.
Berries = 48 − 2(10) = 28. Point I is feasible but inefficient: resources are idle or poorly used.
PPF · distinguish choice from capacity

What changed: use, capacity, or cost?

The frontier stays fixed when existing capacity is put back to work.

Resource use

Reopen an idle greenhouse

With the same resources and technology, move from inside the PPF toward the frontier.

Recovering unused capacity can increase both outputs without a trade-off.
Along the frontier: more of one good requires giving up another.
Beyond the frontier: production is currently unattainable.
Trade · one example across three slides

Specialize where opportunity cost is lower

Each farm has the same growing season. All resources go to one crop or the other.

Maximum outputStrawberriesBeans
Farm A72 crates36 crates
Farm B24 crates48 crates

Absolute advantage

Who produces more with the same resources?

A → strawberries. B → beans.

Comparative advantage

Who gives up less of the other good?

A → strawberries. B → beans.

Opportunity cost1 strawberry crate1 bean crate
A36/72 = 0.5 bean72/36 = 2 strawberries
B48/24 = 2 beans24/48 = 0.5 strawberry

Even if one producer is better at both goods, specialization still depends on relative opportunity cost.

Trade · compare production bundles

Use each farm’s comparative advantage

Start with each farm splitting its resources 50–50 between strawberries and beans.

AllocationFarm A
strawberries, beans
Farm B
strawberries, beans
Combined
strawberries, beans
50–50 split(36, 18)(12, 24)(48, 42)
Specialize(72, 0)(0, 48)(72, 48)

Strawberries

48 → 72

Crates produced by both farms

Beans

42 → 48

Crates produced by both farms

24 more strawberry crates and 6 more bean crates.
Both outputs rise with the same resources and technology. Report each good separately; their sum is not a measure of total value.
Trade · separate production from consumption

Trade expands consumption possibilities

After specialization, A trades 22 strawberry crates for 22 bean crates from B.

Farm A

Farm B

Own production PPFC = consumption after exchangeP = production · B = 50–50
A consumes (50, 22); B consumes (22, 26). Each gets more of both goods than in the 50–50 allocation.
Trading rate: 0.5 < 1 bean per strawberry < 2. Both gain because the rate lies between their OCs.

Trade changes consumption. Each PPF stays fixed; combined production remains (72, 48).

Supply & demand · use the same-price test

A curve is a relationship; Q is one point

Own price changes

Move to a different point on the same curve, other things equal.

Another determinant changes

If buyers or sellers choose a different Q at the same price, the curve shifts.

1 · Oat-milk market: the price of oat milk falls.

Quantity demanded rises along D. This alone is not an increase in demand.

2 · Oat-milk market: dairy milk becomes more expensive; the two are substitutes.

Demand for oat milk shifts right. The other good’s price changed.

3 · Oat-milk market: the price of oats used in production rises.

Supply shifts left. Oats are an input, so production becomes costlier.

First name the market. Then ask whose decision changes: buyers or sellers?

Supply & demand · buyers’ choices

What changes demand at every price?

Hold this good’s price fixed while you identify the change.

DeterminantChange in the marketDemand
Number of buyersMore students move near a coffee shop.Right →
IncomeIncome falls; dining out is a normal good.← Left
IncomeIncome falls; canned soup is an inferior good.Right →
Related pricesCheaper tea (a substitute for coffee). Consider coffee.← Left
Related pricesCostlier printers (a complement to ink). Consider ink.← Left
TastesA new preference for fresh fruit develops.Right →
Normal / inferior: classify the response to income.
Substitutes / complements: classify the response to the other good’s price.
Supply & demand · sellers’ choices

Translate the event into cost or capacity

EventMechanism and supply shift
Packaging material becomes cheaper.Cost falls → S right
A sorting machine reduces wasted produce.Productivity rises → S right
A frost destroys part of the harvest.Capacity falls → S left
A cost-reducing payment makes each unit cheaper to produce.Effective cost falls → S right
Apple sellers expect a higher price next month and store more apples now.Less offered today → S left
Keep the time labels straight.
Expected future price ↑ can reduce current supply of a storable good.

A higher current selling price instead raises quantity supplied along S, with other determinants fixed.

Supply & demand · calculate the intersection

A supply shift changes the market price

Cucumbers · quantities in crates

PriceQdQs
$48040
$66060
$84080

Read the market condition

At $4: shortage or surplus?
At $8: which way does price move?

$4: shortage = 40; P rises.

$8: surplus = 40; P falls.

Equilibrium: P* = $6, Q* = 60.

Qd = 120 − 10P    Qs = 10P

Higher input costs reduce supply by 20 crates at every price. Demand stays fixed. Find the new equilibrium.

New supply: Qs′ = 10P − 20.
120 − 10P = 10P − 20 → P* = $7, Q* = 50.
The 20-crate supply shift reduces Q* by 10, because price adjusts.
Supply & demand · separate, then combine

Which outcome is certain?

Case A · Frozen yogurt

Consumers lose interest in frozen yogurt.
Milk used to make it becomes costlier.

D left: P ↓, Q ↓
S left: P ↑, Q ↓

Q ↓ · P ambiguous

Case B · Fish

Chicken becomes costlier; fish is a substitute.
Fuel costs for fishing boats rise.

D right: P ↑, Q ↑
S left: P ↑, Q ↓

P ↑ · Q ambiguous
Combine the shiftsS increasesS decreases
D increasesQ ↑; P ambiguousP ↑; Q ambiguous
D decreasesP ↓; Q ambiguousQ ↓; P ambiguous
Ambiguous ≠ unchanged.
The direction depends on the relative sizes of the shifts.

For Case B, trace the linked market first: chicken price ↑ → demand for fish ↑.

Supply & demand · two causes, one curve

Two shocks can push supply opposite ways

New greenhouses add 30 crates at every price. Disease removes some output. Demand stays fixed.

Dashed gray: original supply. Green: supply after both shocks.

Net change at each price

+30 − 10 = +20 crates

Supply right
P ↓ · Q ↑

P: $6 → $5
Q: 60 → 70 crates

Without knowing the two magnitudes, the net direction is ambiguous.

Do not force one event onto demand just because the story contains two events.

Practice · one shock, two related markets

Follow developers into both markets

Tighter borrowing restrictions raise developers’ financing costs and reduce their planned home-building projects.

Hold home demand and land supply fixed. Draw both markets.

1 · Newly built homes

Identify developers’ role, the curve shift, and the changes in P* and Q*.

Developers supply homes.
Higher financing costs shift S left.

Home P ↑ · Q ↓

2 · Buildable land

Identify developers’ role, the curve shift, and the changes in P* and Q*.

Developers demand land.
Fewer planned projects shift D left.

Land P ↓ · Q ↓
The market determines the role. A home seller can be a land buyer. Do not use the same curve label automatically in both diagrams.
Welfare · the gains from each completed trade

Add the surplus of those who trade

Market price = $16. Each buyer wants at most one unit; each seller can supply at most one.

CS = willingness to pay − P

BuyerWTPCS
A$32$16
B$26$10
C$18$2
D$10$0 · no trade
Market CS = $28

PS = P − opportunity cost

SellerCostPS
W$4$12
X$9$7
Y$14$2
Z$20$0 · no trade
Market PS = $21
3 units trade. Total surplus = $28 + $21 = $49.
A nonparticipant’s surplus is zero. The demand curve records buyers’ WTP; supply records sellers’ costs.
Practice · consumer and producer surplus

Find the price, then measure the areas

Qd = 72 − 2P    Qs = 2P

Price in dollars; quantity in units.

1

Calculate P* and Q*.

2

Find market consumer surplus.

3

Find market producer surplus.

72 − 2P = 2P
P* = $18; Q* = 36.

CS = ½ × 36 × (36 − 18)
= $324
PS = ½ × 36 × (18 − 0)
= $324
Practice · continue with the same market

Does a lower price mean more surplus?

Demand falls by 12 units at every price; supply stays Qs = 2P.

Find the new equilibrium, CS, PS, and TS. Then explain the effect on consumers.

Qd′ = 60 − 2P  →  P* = $15, Q* = 30

New demand intercept: $30. CS = ½(30)(30 − 15); PS = ½(30)(15 − 0).

MarketP*Q*CSPSTS
Original demand$1836$324$324$648
Lower demand$1530$225$225$450
No. Price falls, but CS also falls because demand changed. The drop in total surplus is not a policy-created DWL; the new market still clears efficiently in this model.
Price controls · identify the legal limit

Check whether the control binds

Demand: P = 30 − 2Q    Supply: P = 6 + Q

Equilibrium: 30 − 2Q = 6 + Q → Q* = 8, P* = $14.

PolicyBinding?Effect on private trade
Maximum price of $18No · ceiling above P*No change: P = $14, Q = 8
Minimum price of $10No · floor below P*No change: P = $14, Q = 8
Maximum price of $10Yes · binding ceilingQs = 4, Qd = 10 → Q = 4
Minimum price of $18Yes · binding floorQd = 6, Qs = 12 → Q = 6
Actual private trade = min(Qd, Qs) when the control binds.
A legal price limit by itself does not shift D or S.

Assume no government purchase of unsold output. Government buying the surplus changes the calculation.

Price floor · calculate in the right order

Calculate surplus over actual sales

D: P = 30 − 2Q · S: P = 6 + Q · Floor: $18 · Lowest-cost sellers trade.

CSPSDWL

1 · Find actual sales

Qd = (30 − 18)/2 = 6
Qs = 18 − 6 = 12
Only 6 units trade.

2 · Consumer surplus

CS = ½ × 6 × (30 − 18)
= $36

3 · Producer surplus

Cost at Q = 6 is $12.
PS = ½ × [(18 − 6) + (18 − 12)] × 6
= $54 · a trapezoid

4 · Deadweight loss

DWL = ½ × (8 − 6) × (18 − 12)
= $6

Check: before, TS = 64 + 32 = $96. After, TS = 36 + 54 = $90. Lost surplus = $6.
Welfare · explain who gains and who loses

A transfer is not a deadweight loss

Same market: P = 30 − 2Q and P = 6 + Q. No government purchases.

OutcomeQ tradedCSPSTSDWL
Free market · P = $148$64$32$96$0
Ceiling · P = $104$64$8$72$24
Floor · P = $186$36$54$90$6

Transfer

A different price redistributes the gains on units that still trade.

One side’s gain is the other’s loss.

Lost trade

A buyer values a unit more than it costs, but the transaction no longer occurs.

The potential total gain disappears.

“All producers benefit” is too strong.
A higher floor helps some sellers who sell, but excludes others.

A ceiling helps some buyers but excludes others. Lines or lotteries may ration access.

Areas assume the highest-WTP buyers and lowest-cost sellers trade. Other rationing can reduce surplus further.

Policy applications · identify the market first

The same model explains new settings

A minimum wage

Suppose a required wage is $20 while the market-clearing wage is $16.

Vertical axisWage
Demand for laborEmployers hiring
Supply of laborWorkers offering work

Classify the policy and predict employment.

Binding price floor.
Labor demanded falls; labor supplied rises. Employment is Ld.

Ls − Ld is a labor surplus.

Water after a storm

A storm raises demand for bottled water and disrupts deliveries.

What can a higher price encourage?

Buyers conserve water.
Stores and outside suppliers have a stronger reason to bring in more.

A binding cap can create a shortage and shift rationing to waiting or purchase limits.

Low-income buyers may struggle to pay. Efficiency and fairness are distinct questions.

Use the basic competitive model and the stated assumptions. The policy’s name does not tell you which curve or market to draw.

Practice · translate quantities into employment

Count the workers who actually get jobs

Labor demand: Ld = 400 − W
Labor supply: Ls = 3W

Stylized market: W is dollars per work period; L is the number of workers.

1 · Free market

Find the equilibrium wage and the number employed.

400 − W = 3W
W* = $100
Employment = 300

2 · Wage-floor follow-up

A minimum wage is set at $120.
Find Ld, Ls, employment, and the labor surplus.

Ld = 280; Ls = 360
Employment = 280
Labor surplus = 80

The floor binds because $120 > $100. Employers hire 20 fewer workers, while 60 more want to work. Together, these changes create an 80-worker gap.
Final check · choose, calculate, explain

Can you explain every step?

1 · Trade: Farm C can produce 40 apples or 20 pears; D can produce 30 apples or 10 pears. Who has comparative advantage in pears?

C: 1 pear costs 2 apples, versus 3 for D. Compare opportunity costs, not just output.

2 · Markets: Cheaper pasta reduces demand for substitute rice. At the same time, higher fuel costs reduce rice supply. What happens to P and Q?

D left and S left: Q falls; P is ambiguous. The quantity effects agree, but the price effects oppose.

3 · Price floor: Qd = 36 − 2P and Qs = P. A floor sets P = $15. How many units trade, and how much excess supply is there?

P* = $12. At the binding floor, Qd = 6 and Qs = 15: 6 units trade; excess supply = 9.
Before choosing an answer:
Name the market → identify the constraint or shift → calculate → check units and actual trade → explain the result.
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