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Microeconomics Theory with Applications
Quiz 8: The Theory of Perfect Competition
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Question 81
Essay
If a competitive firm has TC = q
3
/3 + 25 and faces a market price of P = 49, what is the firm's maximum profit?
Question 82
Essay
In a market, demand is given by P = 150 - 3Q and Supply is given by P = 2Q + 10. Find the equilibrium price and quantity and determine the impact of a technological innovation on consumer surplus.
Question 83
True/False
If each firm is initially earning positive profits in a perfectly competitive industry, then there will be entry of new firms, price will fall, and the output of each firm will fall in the long- run equilibrium.
Question 84
Multiple Choice
A competitive firm:
Question 85
Multiple Choice
Suppose that TC = 2Q
3
- 18Q
2
+ 100Q + 50. If price, P, equals 100, the firm's maximum profit is:
Question 86
Essay
Pencils are produced in a perfectly competitive industry. The demand function for pencils is given by D(p)=100- p. Average cost of producing y units is given by AC(y)=4+(2- y)
2
. a)Determine the individual supply curve of each firm and find the long run industry supply curve under the assumption of free- entry. b)What are the long run equilibrium prices and quantities? c)How many firms enter the industry?
Question 87
True/False
Since long- run economic profits for a competitive firm are always zero, it will never pay a competitive firm to adopt a cost- reducing innovation.
Question 88
Essay
What is meant by a Pareto optimal allocation?
Question 89
Multiple Choice
Individuals offer goods for sale because:
Question 90
Multiple Choice
Which of the following constitutes a necessary condition for profit- maximization for a perfectly competitive firm?
Question 91
Essay
Assume that the domestic beer industry is an increasing cost industry currently in a long run equilibrium. a)What is meant by a long run equilibrium? b)Suppose society's demand for beer increases. Explain precisely what happens to the price and output of beer for a typical firm and for the industry as a whole in both the short run and long run. Illustrate your argument with the appropriate graphs.
Question 92
Essay
Suppose a perfectly competitive firm has the short- run cost function C(y)= 125 + y
2
. Use the derivative formula or marginal cost to determine the firm's output level and profit at prices of $30 and $20. At what price does the firm reach the shut- down point?
Question 93
Essay
Suppose that lots of companies make widgets. Tim's is a representative competitive firm in this industry and has TC = 10q
2
+ 5q + 40. i)At what market price will Tim's break even? ii)What is the shut down price for Tim's? iii)What is the equation for Tim's short- run supply curve? iv)Suppose that demand for widgets is P = 95 - Q. If there are a total of 30 widgets traded in the market, how many widgets will Tim's make and how many firms are competing against Tim's? v)Will there be entry or exit in the widget industry, why?
Question 94
Multiple Choice
Supply curves are:
Question 95
Essay
A firm has total cost given by TC = q
3
- 20q
2
+ 200q + 576. Suppose the firm faces a marginal revenue curve given by P = 200. i)What is the optimal quantity for this firm to produce? ii)Calculate the firm's profit, fixed cost, and variable cost if it produces 12 units of output? iii)What effect would each of the following have on MC? a)The price of the variable input decreases. b)The price of the fixed input increases. c)A technological improvement increases the returns to scale of the production process.
Question 96
Multiple Choice
In a competitive equilibrium, the market price is:
Question 97
Multiple Choice
Suppose the total cost to produce quantity q is TC(q) = q
2
/10+250. If this firm is a price- taker and the market price is p = 10, then the firm's output will be:
Question 98
Essay
Mattel Toys Inc. is a competitive firm which produces Barbie dolls according to the cost function: C = Q
2
/20 where Q is the number of dolls produced. The dolls sell for $10 each. After losing a court case, Mattel Toys is ordered to pay a license fee to Toys R Us. i)If the license fee is $500, regardless of how many dolls Mattel Toys produces, what happens to Mattel's cost function? To the marginal cost function? To the level of output? ii). If the license fee is $5 per doll, what happens to Mattel's cost function? To the marginal cost function? To the level of output?
Question 99
Essay
The market for widgets is competitive and demand is given by P = 75 - 2Q while supply is given by P = 15 + Q. What price and quantity will trade in the market? What are consumer surplus and producer surplus in this market?