Question

In: Economics

3. Profit maximization using total cost and total revenue curves Suppose Darnell runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the mar...

 3. Profit maximization using total cost and total revenue curves


 Suppose Darnell runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the market price is $20 per shirt.


 The following graph shows Darnell's total cost curve.


 Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for shirts quantities zero through seven (inclusive) that Darnell produces.

image.png

 Calculate Darnell's marginal revenue and marginal cost for the first seven shirts he produces, and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost at each quantity.

image.png

 Darnell's profit is maximized when he produces _______  shirts. When he does this, the marginal cost of the last shirt he produces is _______ , which is_______  than the price Darnell receives for each shirt he sells. The marginal cost of producing an additional shirt (that is, one more shirt than would maximize his profit) is _______  . which is _______  than the price Darnell receives for each shirt he sells. Therefore, Darnell's profit- maximizing quantity corresponds to the intersection of the ______________  curves. Because Darnell is a price taker, this last condition can also be written as _______ .

Solutions

Expert Solution

Q TC TR Profit MC MR
0 10 0 -10
1 15 20 5 5 20
2 20 40 20 5 20
3 30 60 30 10 20
4 45 80 35 15 20
5 70 100 30 25 20
6 100 120 20 30 20
7 135 140 5 35 20

Blanks:

1- 4

2- 15

3-Less

4- 25

5- More

6- MC=MR

7-P=MC


Related Solutions

3. Profit maximization using total cost and total revenue curves Suppose Ana runs a small business...
3. Profit maximization using total cost and total revenue curves Suppose Ana runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the market price is $20 per shirt. The following graph shows Ana's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for shirts quantities zero through seven (inclusive) that Ana produces. Calculate Ana's marginal revenue and marginal...
Consider the competitive market for dress shirts. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry.
 6. Deriving the short-run supply curve Consider the competitive market for dress shirts. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry. For each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume that when the price is exactly equal to the average variable cost, the firm is indifferent between...
Consider the competitive market for dress shirts. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry.
 6. Deriving the short-run supply curve Consider the competitive market for dress shirts. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry. For each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume that when the price is exactly equal to the average variable cost, the firm is indifferent between...
Assume the market for soybeans is a perfectly competitive market. Now suppose the cost of renting...
Assume the market for soybeans is a perfectly competitive market. Now suppose the cost of renting farmland increases (i.e. fixed resource costs have gone up). As a reference for your answer, graph this increase to average costs. (Important: since this is a fixed cost, we're assuming marginal costs do not shift, only average costs.) What will happen to the number of producers? Why is this the case? What will happen to the supply curve and the market price? Show this...
Given a perfectly competitive market structure at the profit-maximizing output level, a firm’s total fixed cost...
Given a perfectly competitive market structure at the profit-maximizing output level, a firm’s total fixed cost is $32, total variable cost is $174, marginal revenue is $6.60, and the quantity demanded is 38 units. Calculate the firm's profit at the profit-maximizing output level. Show your work. Show your work. (Show your work to earn credits. No Work, No Credit.)
Suppose a producer in the (perfectly competitive) market for golf balls has the following total cost...
Suppose a producer in the (perfectly competitive) market for golf balls has the following total cost and marginal cost functions, and that market price is $10. T C = 50 + 0.1q 2 MC = 0.2q (a) [5 pts] What is the firm’s fixed cost? (b) [5 pts] Write the equation for the firm’s average total costs. (c) [5 pts] What is the firm’s marginal revenue? (d) [15 pts] Graph the market and the firm (making sure to illustrate marginal...
Suppose the market for cotton is competitive. A typical cotton farmer has a total cost function...
Suppose the market for cotton is competitive. A typical cotton farmer has a total cost function of: C = 100 + 15q – 6q^2 + q^3 . The prevailing market price is $15. a. Find the profit-maximizing output level of this farmer. Calculate the corresponding profit at this output level. Show your steps. b. Suppose all the fixed cost is unavoidable. Explain whether this farmer should shut down its production in the short run.
Imagine Bill operates a small business that manufactures teddy bears. Assume that the market for teddy...
Imagine Bill operates a small business that manufactures teddy bears. Assume that the market for teddy bears is perfectly competitive and the market price is $30 per teddy bear. The following table represents Bill's daily cost structure. Complete the columns: TVC, TFC, TR, Profit, MR and MC (Enter all numerical responses as whole numbers, i.e. zero decimal places) Quantity (bears per day) TVC TFC TC TR Profit MR MC 0 $ $ $30 $ $ 1 $ $ $50 $...
Consider a perfectly competitive market where each firm’s total cost function is TC = q^3 –...
Consider a perfectly competitive market where each firm’s total cost function is TC = q^3 – 10q^2 + 50q. a) What is the long run equilibrium price and quantity for each firm? b) The industry demand function is Qd=2000-10p. How many firms are there in the industry in the long run? c) The demand has changed to Qd=4000-18p. Describe the industry’s response to the demand shock and calculate the change in the number of firms in the long run equilibrium.
Assume that a competitive firm has the total cost function: TC=1q3−40q2+720q+2000 Suppose the price of the...
Assume that a competitive firm has the total cost function: TC=1q3−40q2+720q+2000 Suppose the price of the firm's output (sold in integer units) is $700 per unit. Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level? Please specify your answer as an integer.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT