Unit 3 · 22 to 25% of the exam

Unit 3 practice test: Production, Cost, and the Perfect Competition Model

twelve questions, every option explained

12 exam-style questions from the unit, free, with an explanation for every option. Most are multiple choice, as on the real exam; a few ask for a number or have you shift a curve on a graph, and sets share one data table, graph or scenario. Covers: The Production Function; Short-Run Production Costs; Long-Run Production Costs; Types of Profit; Profit Maximization; Firms' Short-Run Decisions to Produce and Long-Run Decisions to Enter or Exit a Market; Perfect Competition.

Scenario

Yoga studios after a fall in demand

A city has dozens of small yoga studios, each charging the going price for a class. After a large gym chain opens nearby with free classes for members, demand for studio classes falls and the market price drops. At the new price, a typical studio covers its variable costs (instructors, heating) but not its rent, so it makes an economic loss. (An invented situation, for practice.)

1. In the scenario, what happens to the number of yoga studios in the long run if the price stays low?

  1. It rises, as studios cut prices to compete
  2. It stays the same, as studios cover variable costs
  3. It falls to zero, as each studio has a loss
  4. It falls, as studios with losses exit
Show the answer

In the long run a firm can get out of its lease, so it stays only if it covers all costs. Studios making economic losses exit.

  • It rises, as studios cut prices to compete: Losses push firms out, not in.
  • It stays the same, as studios cover variable costs: Covering variable cost keeps a studio open in the short run only; in the long run every cost must be covered.
  • It falls to zero, as each studio has a loss: Exit stops once the remaining studios are back to zero economic profit.
  • Correct: It falls, as studios with losses exit: Right: in the long run, firms with economic losses leave.

2. In the scenario, as studios exit, what happens in the market for studio classes?

  1. Market supply shifts left and the price rises
  2. Market demand shifts right and the price rises
  3. Market supply shifts right and the price falls
  4. The price stays the same, as each studio's costs are unchanged
Show the answer

Exit reduces the number of sellers, so market supply shifts left and the equilibrium price rises.

  • Correct: Market supply shifts left and the price rises: Right: fewer studios offer fewer classes at every price.
  • Market demand shifts right and the price rises: Exit changes the number of sellers, so it shifts supply.
  • Market supply shifts right and the price falls: Fewer studios means less supply, not more.
  • The price stays the same, as each studio's costs are unchanged: The market price rises as supply falls.

3. In the scenario, when does exit from the market stop?

  1. When the price is back above AVC
  2. When half of the studios have left
  3. When the studios left earn zero economic profit
  4. When demand rises back to its old level
Show the answer

Exit continues until the price rises to the lowest point of ATC, where the remaining firms earn normal profit (zero economic profit).

  • When the price is back above AVC: Price was already above AVC; firms leave because it is below ATC.
  • When half of the studios have left: No set share leaves; exit stops when losses are gone.
  • Correct: When the studios left earn zero economic profit: Right: with normal profit, there is no reason to leave.
  • When demand rises back to its old level: Demand need not recover: exit itself raises the price.

Scenario

Sea salt harvesters on the Tarrow coast

Hundreds of small harvesters gather sea salt along the Tarrow coast. Buyers see the salt from one harvester as the same as any other's, and prices are posted at a daily market, so every buyer knows the going price. Anyone can rent a stretch of shore and start harvesting, and a harvester can stop and sell her equipment at any time. (An invented market, for practice.)

4. In the scenario, which features make each harvester a price taker?

  1. Harvesters can start or stop at any time
  2. Salt is gathered from the shore
  3. Each harvester rents her own stretch of shore
  4. Many small sellers of an identical product, with known prices
Show the answer

With many sellers of an identical product and buyers who know the price, any one seller is too small to change the market price: a price taker.

  • Harvesters can start or stop at any time: Free entry and exit shape the long run; price taking comes from many sellers of the same product.
  • Salt is gathered from the shore: Where the salt comes from does not make a harvester a price taker.
  • Each harvester rents her own stretch of shore: Renting land is a cost; it does not make her a price taker.
  • Correct: Many small sellers of an identical product, with known prices: Right: no single harvester can move the market price.

5. In the scenario, one harvester posts a price 10% above the going market price. What happens to her sales?

  1. They fall to almost zero, as buyers go to other harvesters
  2. They fall by about 10%, as with any demand curve
  3. They stay the same, as buyers are loyal
  4. They rise, as buyers think her salt is better
Show the answer

A perfectly competitive firm faces a horizontal (perfectly elastic) demand curve at the market price: above it, it sells next to nothing; at it, it sells as much as it wants.

  • Correct: They fall to almost zero, as buyers go to other harvesters: Right: her demand is horizontal at the market price.
  • They fall by about 10%, as with any demand curve: Her salt is identical to everyone else's, so buyers switch completely.
  • They stay the same, as buyers are loyal: Buyers see the salt as identical, so they have no reason to stay.
  • They rise, as buyers think her salt is better: Buyers see every harvester's salt as the same.

6. In the scenario, why do harvesters earn zero economic profit in the long run?

  1. The government sets the price of salt
  2. Salt is a product that buyers want less of over time
  3. Anyone can start harvesting, so profits draw in new sellers
  4. Harvesters agree to keep their profits low
Show the answer

With free entry and exit, any economic profit draws new harvesters in and any loss pushes some out, so in the long run the price settles at the lowest point of ATC.

  • The government sets the price of salt: Nothing in the scenario says the price is set by law.
  • Salt is a product that buyers want less of over time: Demand is not the reason; entry and exit remove profit and losses.
  • Correct: Anyone can start harvesting, so profits draw in new sellers: Right: free entry and exit push the price to the lowest point of ATC.
  • Harvesters agree to keep their profits low: Hundreds of independent sellers do not coordinate prices.

7. A tutoring center's five tutors have an average product of 20 sessions a week. A sixth tutor would add 14 sessions. What would the average product of six tutors be, in sessions per tutor?

Type a number. A four-function calculator is allowed, as on the exam.

Show the answer

Total product rises from 5×20=1005 \times 20 = 100 to 100+14=114100 + 14 = 114 sessions, so average product is 114÷6=19114 \div 6 = 19: the new tutor, below the average, pulls it down.

  • Answer: 19

8. A printer's total cost rises from $1,200 to $1,500 when it prints 250 posters instead of 200. What is the marginal cost per poster, in dollars?

Type a number. A four-function calculator is allowed, as on the exam.

Show the answer

Marginal cost is 1,500−1,200250−200\frac{1{,}500 - 1{,}200}{250 - 200}=30050= \frac{300}{50}=6= 6 dollars per poster.

  • Answer: 6

9. In the long run, a bakery chain can make 1,500 loaves a day at a lowest total cost of $9,000. What is its long-run average total cost per loaf, in dollars?

Type a number. A four-function calculator is allowed, as on the exam.

Show the answer

LRATC = long-run total cost divided by output = 9,000÷1,500=69{,}000 \div 1{,}500 = 6 dollars a loaf.

  • Answer: 6

10. A landscaping firm has total revenue of $90,000, explicit costs of $70,000 and implicit costs of $25,000. What is its economic profit, in dollars?

Type a number. A four-function calculator is allowed, as on the exam.

Show the answer

Economic profit = 90,000−70,000−25,00090{,}000 - 70{,}000 - 25{,}000=−5,000= -5{,}000 dollars, an economic loss even with a $20,000 accounting profit.

  • Answer: -5000

11. A firm's total revenue rises from $400 to $460 when it sells 25 units instead of 20. What is its marginal revenue per unit, in dollars?

Type a number. A four-function calculator is allowed, as on the exam.

Show the answer

MR = 460−40025−20\frac{460 - 400}{25 - 20}=605= \frac{60}{5}=12= 12 dollars per unit.

  • Answer: 12

12. A firm has total fixed cost of $300 and total variable cost of $500 when it makes 40 units. What is its average total cost, in dollars?

Type a number. A four-function calculator is allowed, as on the exam.

Show the answer

Total cost is 300+500=800300 + 500 = 800 dollars, so ATC=800÷40=20\text{ATC} = 800 \div 40 = 20 dollars a unit (AFC 7.50 plus AVC 12.50).

  • Answer: 20