An industry has two firms. Firm 1's cost unction is TC1(q1) = 2q1 + 500 and firm 2's cost function is TC2(q2) = 2q2 + 400. The demand curve for the output of this ndustry is a downward-sloping straight ine. In a Cournot equilibrium, where both
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- Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost:MC=q where q is an individual firm's quantity produced. The market demand curve for this product is Demand:QD=120−P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market.a. What is each firm's fixed cost? What is its variable cost? Give the equation for average total cost.b. Graph average-total-cost curve and the marginal-cost curve for qfrom 5 to 15. Atwhat quantity is average-total-cost curve at its minimum? What is marginal cost and averagetotal cost at that quantity?c. Give the equation for each firm's supply curve.d. Give the equation for the market supply curve for the short run in which the number of firms is fixed.e. What is the equilibrium price and quantity for this market in the short run?f. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to…Following is Ahmed’s competitively firm data and solve all the parts and subparts: Output (Q) Total Cost Total Revenue 0 62 0 30 90 40 60 110 80 90 126 120 120 138 160 150 150 200 180 165 240 210 190 280 240 230 320 270 296 360 a. Find the profit maximizing output. b. Find: a. FC b. VC c. ATC d. AFC e. AVC f. MC c. Find the efficient scale of output. d. Draw all the curves for the variables in part b using two-dimensional space.Suppose Glen’s Grinders, LLC is a retail outlet that sells meat grinders for household use and operates in a perfectly competitive market where there is a total of 10 firms in this market including Glen’s Grinders. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as Glen’s. Suppose Glen’s total cost function is given by: C(q) =100 + 25q + q^2 a. Calculate Glen’s optimal output level and profits if the monthly market inverse demand for units of the product is stable and given by: P= 250 - Q b. If Glen is typical of the firms in this industry (same as the other 9), calculate the long-run equilibrium output, price, and profit level that will ultimately prevail in this industry.
- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 0.5Q^2The market demand curve for this product is: Qd= 120 −PThere are 9 firms in the market.a) What are each firm’s: fixed cost, variable cost, marginal cost, and average total cost? Graph the average-total-cost curve and the marginal-cost curve.b) Give the equation for each firm’s supply curve.the average-total-cost curve at its minimum? What is marginal cost and average totalc) Give the equation for the market supply curve for the short run in which the numbercost at that quantity?Please show work for: Two firms compete in a market to sell a homogeneous product with inverse demand function P = 600 − 3Q. Each firm produces at a constant marginal cost of $300 and has no fixed costs. Use this information to compare the output levels and profits in settings characterized by Cournot, Stackelberg, Bertrand, and collusive behavior.Instruction: Do not round intermediate calculations. Round final answers to two decimal places for Cournot values.Cournot output for each firm: Cournot profits for each firm: $ Stackelberg leader output: Stackelberg follower output: Stackelberg leader profits: $ Stackelberg follower profits: $ Bertrand market-level output: Bertrand profits for each firm: $ Collusive market-level output: Collusive industry-level profits: $TRUE-FALSE: Is the following statement true of false? “Suppose that the demand curve for an industry’s output is a downward-slopping straight line and there is constant marginal cost. Then the larger the number of identical firms producing in Cournot equilibrium, the lower the price.” Write a brief but convincing explanation of your answer.
- There are two identical firms in an industry, 1 and 2, each with cost function , i = 1,2. The industry demand curve is P = 100 − 5X where industry output, X, is the sum of the two firms’ outputs (X1 + X2). (a) If each firm makes its output decisions on the assumption that the other will not react to its choices (the Cournot assumption), what is the equilibrium output for each firm? What is the equilibrium price? (b) Suppose that each firm takes it in turn to choose its level of output, on the assumption that the other’s output level is fixed. Would the process of adjustment be stable? (c) Suppose that firm 1 introduces a cost-saving innovation, so that its cost curve becomes C1 = 8X1. Firm 2’s cost curve and the industry demand curve are unchanged. What happens to the equilibrium quantity produced by each firm and to market price?Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firm—Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decides to charge the same price as Tile King to avoid the possibility of a price war. The price charged by Tile King is $20,000. Ajax has the following short-run cost curve:TC = 800000 - 5000Q + 100Q2a. Compute the marginal cost curve for Ajax.b. Given Ajax’s pricing strategy, what is the marginal revenue function for Ajax?c. Compute the profit-maximizing level of output for Ajax.d. Compute Ajax’s total dollar profits.A price-taking firm in a competitive industry of a good that is continuously divisible (like sand) has a total cost function TC(Q) = 3.5Q^2 + 100Q + 500. The market price for the good is p = $240. a: Carefully write out this firm’s profit maximization problem, using the particulars of thisproblem. b: Give the marginal condition (equation) that characterizes the solution to this problem. Solvethis condition for the firm’s optimal quantity Q*. c: Calculate the firm’s maximized profit. d: On a graph with quantity on the horizontal axis, neatly plot the marginal revenue curve andmarginal cost curve. Show Q* on your graph. e: Label areas on your graph using a, b, c, etc. and indicate the areas that correspond to totalrevenue and variable cost.
- Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 The market demand function for the pizza market in the above question 2(a) is: Q= 120-P, where P is the price and Q is the total quantity of the pizza. Currently, there are 12 firms in the market. i. Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. ii. Formulate each firm’s supply function based on the cost information prior to innovation and determine the market supply function in the short run. The total number of firms in the market is assumed to be fixed. iii. Calculate the price and quantity of pizza in the market and the quantity produced by each firm while the market is at the short-run equilibrium. Use a diagram to illustrate this short-run equilibrium and calculate each firm’s profit or loss. Discuss whether each firm has an incentive to leave or stay in the market.…Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 1/2q2 Marginal cost: MC = q Where q is an individual firm’s quantity produced. The market demand curve for the product is: Demand: QD = 120 – P Where P is the price and Q is the total quantity of the good. Currently there are 9 firms in the market. What is each firm’s fixed cost? What is its variable cost? Give the equation for average total cost. Graph the average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is the average-total-cost curve at its minimum? What is the marginal cost and average total cost at that quantity? Give the equation for each firm’s supply curve. Give the equation for the market supply curve for the short run in which the number of firms is fixed. What is the equilibrium price and quantity for the market in the short run? In this equilibrium, how much does each firm produce? Calculate the firm’s profit and loss. Do firms have…If the demand function faced by a firm is:Q = 90 – 2PTC = 2 + 57Q – 8Q2 + Q3 Determine the best level of output for the above question by the MR and MCapproach.Question 2: Determine the best level of output for a perfectly competitive firm that sells its product at P = $4 and faces TC = 0.04Q3– 0.9Q2 + 10Q + 5. Will the firm produce this level ofoutput? Why? Question 3: Suppose that the production function is given as follows:TPL = 10L + 5L2 + L3Find the total product, Marginal product and average product when L = 5. Question 4: Find the optimum level of output and profit from the cost functionTC = 50 + 6Q2 and price P = 100 – 4QAlso derive marginal cost and marginal revenue.
