Consider the following graph of the average and marginal cost functions for a firm in a perfectly competitive market. 30 25 20 15 P 10 7 5 0 0 AC 2 4 5 q 6 MC 8 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 10
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- The 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 £ NumberConsider 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 .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 £…
- 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 611.2 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.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. 1
- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.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).The cost function for Acme Laundry is C(q) = 50 + 30q +q?, where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is p? The output level at which the firm's profit is maximized as a function of p is q =|- (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a fraction can be created with the / character.) If p= 60, then Acme Laundry should produce| units. (Enter your response as a whole number.)
- 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…Would a cost function of 0 mean a linear line of supply curve? For example if 10 firms are on the market selling 10 goods and the cost function is 0?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.