Q = 390 -20P and Q’ = 150-5P
The marginal and average total cost functions of the firm were also estimated to be, respectively:
MC =2.5 + .05Q and ATC = 2.5 + .025Q
Determine the best level of output of the firm, the price at which the firm sells its output, as well as the total profit.
The research department of Cardinal Novelties has estimated the demand function facing the firm for price...
Consider a competitive firm with total costs given by TC(q) = 100 + 10q + q 2 The firm faces a market price p = 50. (a) Write expressions for total revenue TR and marginal revenue MR as functions of output q. (b) Write expressions for average total cost ATC, average variable cost AVC, and marginal cost MC as functions of output q. (c) For what value of output is ATC minimized?
1. A monopoly is facing an inverse demand curve that is
p=200-5q. There is no fixed cost and the marginal cost of
production is given and it is equal to 50.
Find the total revenue function.
Find marginal revenue (MR).
Draw a graph showing inverse demand, MR, and marginal cost
(MC).
Find the quantity (q) that maximizes the profit.
Find price (p) that maximizes the profit.
Find total cost (TC), total revenue (TR), and profit made by
this firm.
Find...
Consider a firm facing conventional technology with U-shaped AVC and ATC and MC. The firm wants to maximize profits given an exogenously fixed price of P = $20. Further, suppose the firm correctly determines that its short run profit maximizing output is 1000 given its costs and the exogenously fixed price of $20. Question 1A Using the axes as constructed below, depict marginal revenue and marginal cost curves that would support the conclusion that the optimal short run output is...
2. Propose and sketch a demand function for a product that currently sells for $500 with quantity sold at 25. Write both regular and inverse demand functions. 3. Representative firm in an industry has total cost function TC(a) -1849+and marginal cost function MC-2q a) What is the fixed cost function for the firm? What is the variable cost function? b) Derive average total, average fixed and average variable cost functions. c) Find the minimum efficient scale (-output that corresponds to...
1) A perfectly competitive firm faces the following Total revenue, Total cost and Marginal cost functions: TR = 10Q TC = 2 + 2Q + Q2 MC = 2 + 2Q At the level of output maximizing profit , the above firm's level of economic profit is A) $0 B) $4 C) $6 D) $8 *Additional information after I did the math: The price this firm charges for its product is $10, the level of output maximizing profit is 4...
Cafe Caffe sells its product at a price of €5 each (the demand curve is horizontal at this price). Its total and marginal cost functions are: TC = 50 – q + 0.0192 MC = -1+0.02, where TC and MC are measured in €, and q is the output rate. (a) Determine the output rate that maximizes profit or minimizes losses in the short run. (b) Calculate the profit earned at the output level you calculated in (a). (c) Suppose...
Cafe Caffe sells its product at a price of €5 each (the demand curve is horizontal at this price). Its total and marginal cost functions are: TC = 50 – q +0.01q2 MC = -1 + 0.029, where TC and MC are measured in €, and q is the output rate. (a) Determine the output rate that maximizes profit or minimizes losses in the short run. (b) Calculate the profit earned at the output level you calculated in (a). (c)...
Dumping. Assume that a firm is a monopolist at Home facing the inverse-demand curve, P = 10 − Q, but is one of many competitors in the world market, where it can sell its output at a price Pw = 2. Furthermore, assume that the firm’s total cost is given by: T C (Q) = 10 + (Q^2)/2. Answer the following questions: (a) Find the optimal level of output that maximizes the firm’s total profits. Is it optimal for the...
Dumping Assume that a firm is a monopolist at Home facing the inverse-demand curve, P = 10 − Q, but is one of many competitors in the world market, where it can sell its output at a price Pw = 2. Furthermore, assume that the firm’s total cost is given by: T C (Q) = 10 + Q2 . Answer the following questions: (a) Find the optimal level of output that maximizes the firm’s total profits. Is it optimal for...
8. Consider the following Demand (Price and Marginal Revenue) and Cost (Total and Marginal) relationships expressed as functions of Q: Price = P(Q) = 310 – 2Q TC = TC(Q) = 3500 + 70Q + Q2 MR = MR(Q) = 310 – 4Q MC = MC(Q) = 70 + 2Q a. What is the profit-maximizing level of output? What is the price at that level? b. Should the firm continue operating in the short run? In the long run? c....