consider a monopolist who has a cost function of c(q) = 1/4 Q2 this monopolist faces a demand given by Q(p) = 90 -2P. Solve for the profit maximizing price and quantity produced. Calculate their resulting profits. Show this profit maximizing also graphically. label the price and quantity on their curve. please show all steps.
consider a monopolist who has a cost function of c(q) = 1/4 Q2 this monopolist faces...
Consider a monopolist facing the demand curve p = 90 − 2q with cost function c(q) = 0.25q^2 . (a) Find the profit-maximizing quantity qm and price pm. What are the monopolist’s profits? (b) What is the value of the Lerner index at qm? (c) Find the efficient quantity and draw a graph depicting the deadweight loss under monopoly.
Consider a monopolist faces a demand described by Q 100-2P and its cost function is C(Q) 20Q 10. What is the decision by the firm to maximize its profit? What is the price the firm will charge? How much profit does the firm make?
A monopolist has a cost function given by c(y) = y and faces an inverse demand curve given by P(y) = 156.00 - y, where P is the per-unit price and y is the quantity of output sold. Assume this monopolist cannot discriminate and charges a single price. What is the profit-maximizing level of output? What is its profit-maximizing price? $ Part 2 (2 points) See Hint Assume you want to choose a price ceiling for this monopolist so as...
Q2) A monopolist has variable costs of VC = q2 and faces a demand curve of P = 24 – q, where P is price and q the quantity sold. If the monopolist sets a single price, what is the resulting loss in the gains from trade? a) $8 b) $6 c) $12 d) $4 e) None of the above
A monopolist has a cost function C(Q) = 202 + Q He faces an inverse demand curve p = 25 – 29 What is the profit-maximising price for the monopolist? 06 09 011 13 A none of the above
1. A monopolist faces demand given by P=18-0.50(MR-18-Q) and produces with a constant marginal cost of $10. Assume that there are no fixed costs. i. Solve for the profit-maximizing quantity and price. What is the firm's profit? ii. If this was a competitive market, what would the equilibrium price and quantity be? iii. Graph D, MR, and MC curves for the monopolist. Show the area that represents the social gain if the monopolist was forced to produce and price at...
A monopolist faces the following demand curve: Q = 260-2P Where Q is the weekly production and P is the price, measured in $/unit. The firm's cost function is given by C= 20 + 10Q+Q2. Assuming the firm maximizes profits, 1. (10 pts) Find the equation describing the marginal revenue (MR) curve. 2. (20 pts) What is the level of production (Q), price (P), and total profit (TT) per week? 3. (20 pts) If the government decides to levy a...
Consider a monopolist with the following demand curve: P = 390-29. The monopolist faces MCM = ACM = 30 a) Solve the profit maximizing level of monopoly output, price, and profits. b) Suppose a potential entrant is considering entering, but the monopolist has a cost advantage. The potential entrant faces costs MCPE = ACPE = 40. Assuming the monopolist continues to profit-maximize, solve for the residual demand curve for the entrant. Assume the potential entrant follows the Cournot assumption about...
A monopolist has variable costs of VC = q2 and faces a demand curve of P = 24 – q, where P is price and q the quantity sold. If the monopolist sets a single price what is profit (assume there are no fixed costs)?
Consider a monopolist with a marginal cost curve MC = 5 + Q who faces a demand curve P = 35 - .5*Q. Finally, assume that the production of this good also emits a per-unit externality of 7.5. That is, the marginal damage to third-parties is 7.5. What per-unit tax can the government levy upon the business to assure that only the socially optimal amount of output is produced?