Consider a perfectly competitive market where the demand for the good is given by Q=769-5p, where Q denotes the quantity demanded at price p. On the supply side, the good can be produced by identical firms with U-shaped average cost curves. The total cost of the industry as a function of total output, Q, is given by C(Q) = 5 Q What is the (long run) equilibrium price in this market?
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- In a competitive market, the current equilibrium price is $110 per unit. A firm that produces Q units ofoutput in this market has a short-run Total Cost (TC) given by TC = 300 + 10Q + 5Q2. What is the marginal cost for this firm? How many units should the firm produce per day?Consider a perfectly competitive market where the demand for the good is given by Q-769-5p, where Q denotes the quantity demanded at price p. On the supply side, the good can be produced by identical firms. The total cost of the industry as a function of total output, Q, is given by C(Q) = 5 Q What is the (long run) equilibrium quantity in this market? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)Demand for microprocessors is given by P = 35 – 5Q , where Q is the quantity of microchips (in millions). The typical firm’s total cost of producing a chip is Ci = 5qi, where qi is the output of firm i. a) Under perfect competition, what are the equilibrium price and quantity?
- Demand and Supply equations of a particular market are as follows.Qd = 2100 – 7PQs = – 1200 + 5PWhere, Qd is the quantity demanded, Qs is the quantity supplied and P is the market price. By all means, this market is considered as a perfectly competitive market. The average cost information of a selected firm in this market is given below.AFC = 450/QAVC = (155Q + 2Q2)/Q a) Calculate the profit maximizing output level of the firm based on Marginal approach.b) Calculate the profit (in Rupees) at the profit maximizing output level.Assume a competitive firm faces a market price of $100, a cost curve of: C = 0.25q + 50q + 1,600 and a marginal cost curve of: MC = 0.50g + 50. The firm's profit maximizing output level is 100.00 units, the profit per unit is $9.00, and total profit is: $900.00. However, if the firm wanted to maximize the profit per unit, how much would it produce? It would produce units. (round your answer to two decimal places) If the firm produced this output level, what would be the profit? Its profit would be S. (round your answer to the nearest penny)Suppose a perfectly competitive market has firms with total cost given by c(y) = 3y2+ 10. a) What is the individual firm’s profit-maximizing output? b) If there are m firms, what is the industry supply function? c) Let the industry demand be X(p) =a−bp, where a and b are positive constants. Find theequilibrium price in the market. What is the equilibrium quantity sold?
- Suppose you are managing a firm in a perfectly competitive industry. Your demand, supply and cost functions are given by: Qd = 35 – 2P ; QS = 25 + P ; and TC(Q) = C(Q) = 50 + 10Q + 2Q2 What is the equilibrium price and quantity in this market? What is your firm’s MC function? In the short run, what is the profit maximizing level of output of the firm (i.e. how much output should the firm produce in order to maximize profit)? How much profit is your firm earning, in the short-run? What adjustments should be anticipated in the long run?a) Find the long run equilibrium price. Find the minimum efficient scale of the typical firm. Find the typical firm’s average cost when it operates at minimum efficient scale. In the long run, what price will prevail in this market? In words, clearly justify your answer. Suppose demand is QD = 3,200 – 100P. (b) Explain why you expect the number of firms in this market to be fifty-five. In this market, what is the short run supply function of the typical firm? What is the short run market supply function? Suppose the local government introduced a $90 licensing fee that raised the fixed cost from $160 to $250. c) Would the introduction of the licensing fee affect the short run equilibrium price or quantity? Justify your answer? Clearly explain why you expect that in the long run fewer larger firms will operate in this market. After the introduction of the licensing fee, what is the new long run equilibrium price? How many firms will survive in this market?A firm operates in a perfectly competitive market. The market price of its product is 4 birr and the total cost function is given by TC= 1/3 Q3 - 5Q2+20Q + 50, where TC is the total cost and Q is the level of output.a) What level of output should the firm produce to maximize its profit?b) Determine the level of profit at equilibrium.c) What minimum price is required by the firm to stay in the market?
- Consider a perfectly competitive market with the market demand functionQd = 1000 − 10pThere are many small, identical firms in the market. Each firm has the marginal cost function:MC = 10 + 10qand the average total cost function:ATC = 45/q + 10 + 5q(a) Suppose the equilibrium price is currently 30 (in the short run). Determine the quantity sold by eachfirm, the market equilibrium quantity, and the number of firms there must be in the market. Hint: Onceyou know the market quantity and quantity per firm, you can back out the number of firms.(b) If entry and exit is possible in the long run, determine long-run equilibrium price, quantity sold by eachfirm, the market equilibrium quantity, and the number of firms there will beThe following relations describe monthly demand and supply for a wheat Qp = 32 – P Qs = P- 16 where P is the price (in cents) per pound and Q is the quantity (in millions) of pounds. What is the equilibrium price and output level? (a) Suppose that wheat industry is a perfectly competitive industry consisting of a large number of identical firms. For a typical firm, the cost function is TC = 100 + 1000q². (b) Identify the marginal revenue of a typical firm in the industry. (c) (d) Find the profit maximizing level of output produced by a firm. If all firms are profit maximizing, then how many firms can operate in this industry?Assume a competitive firm faces a market price of $70, a cost curve of: C = 0.002q³ + 30q + 750, MC = 0.006q² + 30. The firm's profit maximizing output level (to the nearest tenth) is 81.64 units, and the profit (to the nearest penny) at this output level is $ and marginal cost curve of: