Assume a competitive firm faces a market price of $70, a cost curve of! C=0.002q + 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:
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- Suppose that the development of a new drought-resistant hybrid seed corn leads to a 50 percent increase in the average yield per acre without increasing the cost to the farmers who use the new technology. If the producers in the corn production industry were price takers, what would happen to the following? a. the price of corn b. the profitability of corn farmers who quickly adopt the new technology c. the profitability of corn farmers who are slow to adopt the new technology d. the price of soybeans, a substitute product for cornThe market price a perfectly competitive firm has to take is pm and the total cost to the firm is TC(Q)=aq+Bq2 +y , where y is fixed cost of the firm . Find the optimal output to the firm in terms of market price pm. Express also maximum profit. How does maximum profit depend on the market price and the level of fixed cost? All parameters are assumed to be positive.?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?
- The wood-pallet market contains many identical firms, each with the short-run total cost function STC(Q) = 400 + 5Q + Q2, where Q is the firm’s annual output (and all of the firm’s $400 fixed cost is sunk). The corresponding marginal cost function is SMC(Q) = 5 + 2Q. The market demand curve for this industry is D(P) = 262.5 − P/2, where P is the market price. Each firm in the industry is currently earning zero economic profit. How many firms are in this industry, and what is the market equilibrium price?Suppose a farmer is a price taker for soybean sales with cost functions given by the following: TC=0.1q2 +2q+30 MC = 0.2q + 21. Refer to Scenario 9-3. If P = 6, the profit-maximizing level of output is (a) 10. (b) 20. (c) 40. (d) 80. 2. Refer to Scenario 9-3. If P = 10, the profit-maximizing level of output is (a) 0. (b) 30. (c) 40. (d) 50.A firm in a perfectly competitive market has a fixed cost of $5 and a MC function of 9X, where X is the firm's output choice, for X = 0,1,2,3 and 4 units. The current market price of X is P = $30. In this case, the optimal X* for the firm is ______ units, and at this output, the firm faces a total cost of _____. Group of answer choices 3; $59 3; $95 4; $59 4; $95
- 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 firm in a perfectly competitive market. The firm’s marginal cost, average cost and average variable costs are given by the figure below. Suppose that the current market price is p=10. In order to maximize its profit, the firm will produce q = ___________ units of output.
- Glowglobes are produced by identical firms in a perfectly competitive market. Each firm's Total Cost function is TC=225+14q+q^2 and Marginal Cost function is MC=14+2q. Market demand is Q=316-P. If the market price is $85, what are the revenues each firm earns?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?The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?