Suppose we have a perfectly competitive market where each firm has the long run cost function c (q) = 2q2 + 8, for q> 0 and c (0) = 0. The industry demand is given by Qd(p) = 50 - p. The equilibrium price in the long-run equilibrium of the industry is: O $5 $4 O $6 $3 $8
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- Consider a perfectly competitive firm with a short-run total cost function given by TC = q2 + 100 where q is the level of output. The short-run marginal cost function is given by MC = 2q If the price of output is $60, how much output should the firm produce in order to maximize profit? Calculate the firm’s economic profit at this level of output Assuming that each firm in the industry has an identical cost function, is $60 a long-run equilibrium price for this perfectly competitive industry?Consider a competitive industry with a market demand curve of P = 120 - Q, where P is market price and Q is the quantity demanded in the market. In the short run there are 4 firms in the industry, and each firm has a total cost function of TC = 144 + q^2, where q is output of the individual firm. The short-run industry supply curve Qs is?Suppose that the firm operates in a perfectly competitive market. The market price of his product is$10. The firm estimates its cost of production with the following cost function: TC=10q-4q2+q3 A. What level of out put 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?
- The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=712+q^2 and Marginal Cost curve MC=2q. Market demand is Q=895-2P. What is the long-run equilibrium market price? Enter a number only, drop the $ sign.Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q^2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q^s = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., Q^s = f(p)? If demand is given by Q^D = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]Suppose that many small firms operating in the perfectly competitive market set-up. All firms are identical and have the total cost function c (q)= 40+8q+(q^2/10), where q is the individual firm’s production amount. The market inverse demand function is described as P= A - (Q/50), where A>0 is constant, and Q is the market quantity. In the short-run equilibrium, there are 78 firms in the market, and firm’s maximum profit is $22.5 a) find the short-run equilibrium price b) suppose that in the long-run, firms cost function is still the same C (q)= 40+8q+(q^2/10) (assume LR cost function has fixed component of 40) Find the long-run equilibrium number of firms? (Assume market demand in LR = market demand SR)
- Consider the following short-run cost curves for a perfectly competitive firm. Picture is attched If the current market price is $6, the profit-maximizing output for this firm is ____________ If the price is $6 and the firm is producing at its profit-maximizing output, then total costs for the firm are ______________ If the market price is $1, the firm will produce ______________units of output in the short run. If the price is $3 and the firm is producing at its profit-maximizing output, then the firm would make _________ profit.Suppose that the firm operates in a perfectly competitive market. The market price of his product is $4. The firm estimates its cost of production with the following cost function: TC=50+20q-5q2+0.33q3 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?A firm operates in a pure competition market whereby the market price for a product, product A, is currently $15.This firm has an output of Q and faces a total cost curve: TC =1/3Q^3 − 6Q^2 + 44Q, and the resultingmarginal cost curve is given: MC = Q^2- 12Q + 44.It is required that the firm has an output of at least 5.(i) What is the maximum profit of the company in the short run? (ii) At the price of $15, what is the break-even point?
- Suppose there is a perfectly competitive industry where all the firms are identical with identical cost curves. Furthermore, suppose that a representative firm’s total cost is given by the equation TC = 100 + q2 + q where q is the quantity of output produced by the firm. You also know that the market demand for this product is given by the equation P = 1000 – 2Q where Q is the market quantity. In addition, you are told that the market supply curve is given by the equation P = 100 + Q.i. What is the equilibrium quantity and price in this market given this information? The firm’s MC equation based upon its TC equation is MC = 2q + 1. Given this information and your answer in part (i), what is the firm’s profit maximizing level of production, total revenue, total cost and profit at this market equilibrium?ii. Is this a short-run or long-run equilibrium? Explain your answer.iii. Given your answer in part (ii), what do you anticipate will happen in this market in the long-run?iv. In this…Solve questions (iii) and (iv) only Suppose there is a perfectly competitive industry where all the firms are identical with identical cost curves. Furthermore, suppose that a representative firm’s total cost is given by the equation TC = 100 + q2 + q where q is the quantity of output produced by the firm. You also know that the market demand for this product is given by the equation P = 1000 – 2Q where Q is the market quantity. In addition, you are told that the market supply curve is given by the equation P = 100 + Q.i. What is the equilibrium quantity and price in this market given this information?The firm’s MC equation based upon its TC equation is MC = 2q + 1. Given this information and your answer in part (i), what is the firm’s profit maximizing level of production, total revenue, total cost and profit at this market equilibrium?ii. Is this a short-run or long-run equilibrium? Explain your answer.iii. Given your answer in part (ii), what do you anticipate will happen in this…A firm sells its output in a PCM. The firm’s short-run cost function is given by SC = Q3/300 - 0.2Q2 + 4Q + 10. When the equilibrium market price is 69.5, calculate the level of output and profit that each firm produces in the short-run. With this information, comment on the potential entry/exit of firms in this industry in the long-run.
