Suppose that the market inverse demand function is p(yT)=80-yT and the firm's total cost functions are C1(y1)=y21 and C2 (Y2)=10y2+y22. What is firm 1's best response to y2?
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Suppose that the market inverse
What is firm 1's best response to y2?
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- Suppose the (inverse) demand for a firm’s product is given by P = 10−2Q and the cost function is C(Q) = 2Q What is the profit-maximizing level of output and price for this firm?A firm's demand function is Q = 16 – P and its total cost function is defined as TC = 3 + Q + 0.25Q2. Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum? Note: MC = 1 + 0.5QSuppose that the manager of a firm operating in a competitive market has estimated the firm’s average variable cost function to be AVC = 10 – 0.03Q + 0.00005Q2, TFC = 60. What is the MC function? What is the output where AVC is minimum? What is the optimum profit?
- Q 1. (B) A firm's demand function is Q = 16 - P and its total cost function is defined as TC = 3 + Q + 0.25Q2 Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum?Suppose the cost function for a firm is given by C(Q) = 100 + Q2. If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $10, what level of output should the firm produce to maximize profits or minimize losses? What will be the level of profits or losses if the firm makes the optimal decision?Suppose the cost function of firm A, which produces two goods, is given by C = 100 − .5 Q1Q2 + (Q1)2 + (Q2)2 The firm wishes to produce 5 units of good 1 and 4 units of good 2. 1. Do cost complementarities exist? Do economies of scope exist? 2. Firm A is considering selling the subsidiary that produces good 2 to firm B, in which case it will produce only good 1. What will happen to firm A’s costs if it continues to produce 5 units of good 1?
- Assume that a competitive firm has the total cost function: TC=1q3−40q2+820q+1900 T C = 1 q 3 - 40 q 2 + 820 q + 1900 Suppose the price of the firm's output (sold in integer units) is $600 per unit. How many units should the firm produce to maximize profit? What is the total profit at the optimal output level? Please specify your answers as integers.A firm’s demand function is P= 60 − 0.5Q If fixed costs are 10 and variable costs are Q + 12 per unit, find the value of output to maximize the profit.A firm's demand and total cost function are given by the expression: P = 20 - Q/2 (1) TC = 0.5Q2 + 36 (2) Where P is price per unit in £ TC = total cost in £ Q is quantity demanded and produced. Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.
- The 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.?A firm has a linear demand function for it's product.When the price of the product is sh.20,the quantity demanded is 40 units.When the price increases to sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is giving by: Mc = 40q- 2q^2+2 Fixed cost = 5 million Where q= quantity demanded,Mc = marginal cost(sh.million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at the maximum profitThe cost function for Acme Laundry is C(q)=50+30q+q2, where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is p?