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- 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…Quantity of Output Total Cost 0 $12 1 $14 2 $18 3 $24 4 $32 5 $42 6 $54 7 $68 The table above shows the total cost function for a typical firm producing hats in a perfectly competitive market. The market price for hats is $9 per hat. (a) Calculate the average variable cost of the fifth unit. Show your work. (b) What is the firm’s profit-maximizing quantity of hats? Explain using marginal analysis. (c) Draw a correctly labeled graph showing the firm’s demand and marginal cost curves, and show the profit-maximizing quantity of hats determined in part (b). (d) If the rent of the building the firm occupies increases, what will happen to the firm’s profit-maximizing quantity of output in the short run? Explain.A firm operating in a perfectly competitive market has a total cost function: CT = Q3 - 24Q2 + 260Q + 350Supply and demand functions in this market are Qo = 10 P - 750 and Qd = 6,000 - 15 Pa. Calculate what quantity you will produce to maximize profits and find profit you will make.b. Graph tmarket equilibrium and firm's equilibrium and calculate minimum operating profit.
- Table 9.1 Output (Q) Total Fixed Costs Total Variable Costs 0 20 0 1 20 5 2 20 7 3 20 10 4 20 15 5 20 21 Table 9.1 shows the cost structure of a firm in a perfectly competitive market. If the market price is $5: A. the firm suffers a loss but is better at producing at the output where MR=MC. B. the market price is lower than its marginal cost at the profit-maximizing output level. C. the market price is lower than the average variable cost at the profit-maximizing output level. D. the firm suffers a loss and is better off shutting down.Suppose that each firm in a competitive industry has the following costs: where q is an individual firm’s quantity produced. The market demand curve for this product is where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. What is each firm’s fixed cost? What is its variable cost? Give the equation for average total cost. Graph average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is average-total-cost curve at its minimum? What is marginal cost and average total cost at that quantity? Give the equation for each firm’s supply curve. Give the equation for the market supply curve for the short run in which the number of firms is fixed. What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Calculate each firm’s profit or loss. Is there incentive for firms to enter or exit? In the long run with…Sunrise Juice Company sells its output in a perfectly competitive market. The firm's total cost function is given in the following schedule: Output Total Cost (Units) ($) 0 50 10 120 20 170 30 210 40 260 50 330 60 430 Total costs include a "normal" return on the time (labor services) and capital that the owner has invested in the firm. The prevailing market price is $7 per unit. (a) Prepare (i) marginal cost and (ii) average total cost schedules for the firm. (b) What is the firm's profit maximizing output level? (c) Is the industry in long-run equilibrium? Justify your answer.
- Consider the perfectly competitive market for steel. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MCMC), average total cost (ATCATC), and average variable cost (AVCAVC) curves shown on the following graph. The following diagram shows the market demand for steel. Use the orange points (square symbol) to plot the short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms. If there were 20 firms in this market, the short-run equilibrium price of steel would be per ton. At that price, firms in this…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…