Each of 1,000 identical firms in the competitive peanut butter industry has a short- run marginal cost curve given by SMC = 4 + Q. If the demand curve for this industry is P = 10 - (1/500)Q then what will be the equilibrium price in the short run? 8 6. 4
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- If each competitive firm in an industry has the short-run cost function C=50 +5q+q^2, and themarket price is $35, what is the profit-maximizing output level for each firm? What is the totalrevenue? What are the profits?A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2. Thus, the marginal costs are MC(Q) = 14 + 4Q. How much output should the firm produce in the short run?A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2 What are the firm’s short-run profits? What adjustments should be anticipated in the long run? Given these adjustments, calculate the new optimal quantity and price.
- Suppose that the current price per unit of the good is 10 pounds. A perfectly competitive firm faces the cost function, C = 100 + (1/5)Q2, with marginal cost, MC, equal to (2/5)Q, where Q denotes the quantity produced. Find the profit-maximizing output for this firm in the short-run. Calculate profits. At the profit-maximizing output, is the firm covering its variable costs?Consider a perfectly-competitive industry where each firm has the following long run cost function C(q) = q3 − 12q2 + 105q, where q is the firm’s output. What is the long-run equilibrium price in this market? (Round your final answer to two decimal places, if necessary.)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=341+q^2 and Marginal Cost curve MC=2q. Market demand is Q=627-2P. If the market price is $84, what is the short-run profit maximizing quantity for each firm?
- A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2 How much output should the firm produce in the short run? What price should the firm charge in the short run? What are the firm’s short-run profits? What adjustments should be anticipated in the long run? Calculate the new optimal quantity and price.Assume the market for chips is perfectly competitive. The market supply and demand curves for chips are given as follows: supply curve: P = 0.000002Q demand curve: P = 11 - 0.00002Q The short run marginal cost curve for a typical chips factory is: MC = 0.1 + 0.0009Q Determine the equilibrium price for chips. Determine the profit maximizing short run equilibrium level of output for a chips factory. Assuming that all of the chips factories are identical, how many chips factories are producing chips?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 a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q2 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.]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?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?