Given the profit function π = PxQ - C(Q), maximize profits and explain its relationship with the figure below. Are these models useful to managers, explain?
In the figure
MTB is marginal total benefit curve ,
At profit maximization, net benefit = total benefit - total cost
Is miximized.
Thus FOC: MB = MC
As MB is slope of MTB curve , MC is slope of total cost curve, hence at equilibrium the two curve has same slope
& The difference between MTB & TC is maximized.
Given the profit function π = PxQ - C(Q), maximize profits and explain its relationship with...
Question 2. (a) Suppose there is a firm producing two goods. The profit function π is function of Q1 and Q2 Find Qi and Q2 to maximize total profit. Use the sccond-order conditions to verify that profits are maximized for these extreme values. What is the maximum of the profit π
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
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Find the value of Q when Firms A and B Cournot compete to maximize profits (i.e. when they simultaneously determine profit maximizing output). Firm A and Firm B compete in the sale of a product with market inverse demand given by P(0) = 260-Q, where Q is market output, and Q = 9A + 96 (9A = Firm A's output, 93 = Firm B's output). Firm A's Total Cost function is given by TCA9A) = 209A and Firm B's is...
Suppose the total cost function for a firm is given by C (Q) = 100 + Q2. If the firm sells its output in a perfectly competitive market at a price of $10, what level 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?
1. A monopolist has the profit function π(Q)-PlQIQ-TC(Q). Derive the inverse elasticity rule: P- MC1
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3. If a price-taking firm's production function is given by q = 3vk, then its profit function is given by (b) 亚如