A monopolist faces demand p(Q) = 65-2Q and has total cost TC(Q) = 100 +5Q+Q 2 . a. Calculate price, quantity and (producer and consumer) surplus under perfect competition. b. Determine the profit - maximizing price, quantity, and profit for the monopolist. c. Calculate consumer surplus, producer surplus and deadweight loss under monopoly. d. How would a price ceiling of $27 affect price, quantity, producer and consumer surplus, and deadweight loss?
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- A monopolist has a demand curve given by Q=100-P and a total cost curve given by TC= Q2 + 16. a.Find the monopolist’s profit maximizing quantity and price. Indicate them on the graph. b.How much economic profit will the monopolist earn? c. Calculate the price elasticity of demand at the equilibrium price level.The graph below shows the demand curve and cost data for a firm operating as a monopolist. In addition, Curve 4 shows average total costs (ATC). At the profit-maximizing (loss minimizing) quantity, the monopolist is experiencing a. profits b. losses c. break-even point2. A monopolist faces the demand curve p=250-2q and its total cost function is given by TC = F + 10q, where F is a non-negative fixed cost. a. Find the profit-maximising price and quantity produced for the monopolist. b. What is the highest value of F that allows the firm to earn profits (of zero or more) rather than losses?
- A monopolist faces a demand curve Q = 50P~ª and has a constant margınal cost of 75. a. Compute the price elasticity of demand. b. What is the monopolist's optimal markup of price above marginal cost? c. What is the monopolist's profit-maximizing price?A market has a linear demand curve y(p) = 40 – 5. а) A monopolist is operating with a constant marginal cost of 10, and there are no fixed costs. i. What is the monopolist's profit-maximising output and what is the price it charges? ii. What is its profit at this price and output? ii. Calculate the deadweight loss. iv. Illustrate the profit maximising output, price, and the deadweight loss, with a diagram.3. A monopolist faces demand p(Q) = 65 - 2Q and has total cost TC (Q) = 100 +5Q+Q². a. Calculate price, quantity and (producer and consumer) surplus under perfect competition. b. Determine the profit-maximizing price, quantity, and profit for the monopolist. d. c. Calculate consumer surplus, producer surplus and deadweight loss under monopoly. How would a price ceiling of $27 affect price, quantity, producer and consumer surplus, and deadweight loss?
- A monopolist faces the demand curve Q(P ) = 50 − P 2 . The firm can produce output with marginal costs MC(Q) = Q and no fixed costs. Hint for the following questions: if revenue is of the form R(Q) = (a − bQ)Q, then the derivative of revenue is a − 2bQ. (a) What is the profit maximizing price for the monopolist in this market? (b) What is the deadweight loss from monopoly in this market, compared to the efficient output that sets price equal to marginal cost? *Please fully explain out any mathA monopolist faces the following demand curve and total cost curve for its product: Demand curve: P = 200 - QTotal cost curve: TC = 20Qa. Write the equation for the total revenue function in terms of Q. b. Write the equation for the marginal revenue function. c. What is the marginal cost? d. What is the profit-maximizing quantity for the monopolist? e. What is the profit maximizing price? f. What is the profit for the monopolist as a result?Suppose there is a monopolist in the market for a specific video game facing a demand curve: P = 20-0.5Q with MR = 20 - Q. The monopolist marginal cost curve is MC = 4, its total variable costs are TVC = 4Q and it faces a total fixed costs equal TFC = $102. a. What is the optimal quantity to maximize profit? b. What is the optimal price to maximize profit? c. What is the profit for the monopoly? d. What is the consumer surplus?
- The inverse demand function in the industry is p(y)=10-2y. The marginal costs are constant and equal 2, the fixed costs are zero. a. If the industry is perfectly competitive, what are the equilibrium output and price? b. If there is a single monopolist in the industry, what are the equilibrium output and price? What is the profit? c. Suppose now that the monopolist can perfectly discriminate all customers and charge different prices. How many units will be sold and what will be the profit? d. Find the deadweight loss due to monopolies in parts b. and c.?A monopolist has an inverse demand curve given by p(y) =12 − y and a cost curve given by c(y) = 3y. 1. Find the marginal revenue and marginal cost functions.2. Find the optimal price and quantity for the monopolist.3. Find the optimal price and quantity if the market is competitive. Note that in the competitive market firm produce where MC=AC.4. Calculate the consumers surplus and deadweight loss of due to monopoly I need all four parts answered. I would prefer a diagram to accompany part 4.1. The table shows the demand schedule of a monopolist. Calculate marginal revenue and fill in the revenue column in the table. Assume that output can only be sold in integer amounts (i.e., 1 unit, 2 units, etc.). 2. Once you have filled in marginal revenue, identify the quantity produced by the monopolist in this market.