Consider the following graph of the average and marginal cost functions for a firm in a perfectly competitive market. 18 20 15 P 10 7 5 AC 4 5 6 MC At a price of P=10: (i) the firm's profit-maximizing quantity is (ii) the average cost of production is (iii) the marginal cost of production is (iv) the firm's total profit is (v) the firm's variable profit is
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- Consider the following graph of the average and marginal cost functions for a firm in a perfectly competitive market. At a price of P=10: (iii) the marginal cost of production is . (iv) the firm's total profit is . (v) the firm's variable profit is .Consider the following graph of the average and marginal cost functions for a firm in a perfectly competitive market. 30 r 25 20 MC 15 10 P 7 5 0 AC 4 0 2 5 8 10 q At a price of P=10: (i) the firm's profit-maximizing quantity is 5 (ii) the average cost of production is (iii) the marginal cost of production is (iv) the firm's total profit is (v) the firm's variable profit is 6The inverse demand for tea is given by P= 10 – 0.04Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.01q,?, where qı is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.01q2², where qp is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number - Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £ Number
- Consider the market for ice cream. Suppose that this market is perfectly competitive. The cost structure of the typical ice cream producer is as follows. Average total cost is equal to 50 1 1 ATC(Q) +÷Q, average variable cost is equal to AVC(Q) =;Q, and marginal cost is equal to 2 MC(Q) = Q. Now, suppose that a new scientific study comes out that shows that soil pollution from rock salt (a key input for making ice cream) is extremely hazardous to human health. In response, the government decides to impose harsh re-zoning restrictions on any land once used for making ice cream. This reduces the market rent for land used to make ice cream, which in turn lowers the opportunity cost of operating an ice cream factory. This reduction in the opportunity cost of capital causes the total fixed cost of ice cream production to fall to 32, but there is no change to variable cost. Give formulas for the typical ice cream producer's new average total cost curve ATC(Q) and marginal cost curve MC(Q).Consider the competitive market for sports jackets. 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 jackets 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 producing zero jackets and the profit-maximizing quantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will make a profit, suffer a loss, or break even at each price. Price Quantity Produce or Shut Down? Profit or Loss? (Dollars per jacket) (Jackets) 4 8 12 36 48 60 On the following graph, use the orange points (square…Consider the competitive market for sports jackets. 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 jackets 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 producing zero jackets and the profit-maximizing quantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will make a profit, suffer a loss, or break even at each price.
- 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 producing zero shirts and the profit-maximizing quantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will make a profit, suffer a loss, or break even at each price.The inverse demand for tea is given by P = 8 – 0.03Q, where Pis the price per a gram of tea and Q is the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q,?, where q, is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.02q22, where q2 is the number of grams of tea it brings to %3D %3D market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £…11.2 The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100 + 36x − 0.01x2. (a) Find the marginal cost function C'(x). C'(x) = Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears. $ per teddy bear Compare this with the exact cost of producing the 101st teddy bear (in $). The cost is increasing at a rate of $ per teddy bear. The exact cost of producing the 101st teddy bear is $ . Thus, there is a difference of $ . (b) Find the average cost function C, and evaluate C(100) (in $). C(x) = C(100) = $ per teddy bear What does the answer tell you? The average cost of producing the first hundred teddy bears is $ per teddy bear.
- Problem 2.5 The cost function for Acme Laundry is TC(q) = 10 + 10q + q^2 so its marginal cost function is MC(q) = 10 + 2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is TC(q) = 40 + 5q + 5q?. He sells his lobsters to the local wholesaler at the market price p (in dollars). a) Find Joshua's short-run supply function for lobsters. (Hit: In this case short-run marginal cost is the same as long-run marginal cost.) b) Find Joshua's long-run supply function for lobsters. c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit equals zero). d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long run? Explain. 1Suppose that the market for microwave ovens is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. 100 90 80 ATC 70 60 50 40 30 AVC 20 10 MC 5 10 15 20 25 30 35 40 45 50 QUANTITY (Thousands of ovens) For each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the graph to identify its total variable cost. Assume that if the firm is indifferent between producing and shutting down, it will produce. (Hint: You can select the purple points [diamond symbols] on the graph to see precise information on average variable cost.) Price Quantity Total Revenue Fixed Cost Variable Cost Profit (Dollars per oven) (Ovens) (Dollars) (Dollars) (Dollars) (Dollars) 25.00 1,600,000 70.00 1,600,000 $25.00 100.00 1,600,000 $35.00 If the firm shuts down, it must incur its fixed costs (FC) in the short run. In this case, the firm's…