Suppose a single firm produces all of the output in a contestable market. The Marke inverse demand function is P = 200 -2Q, and the firm's cost function is C(Q) = 8Q. Determine the firm's equilibrium price and corresponding profits. Price: $ Profits:
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- Suppose a single firm produces all of the output in a contestable market. The market inverse demand function is P = 250 -4Q, and the firm’s cost function is C(Q) = 8Q. Determine the firm’s equilibrium price and corresponding profits.Price: $ Profits: $Suppose a single firm produces all of the output in a contestable market. The market inverse demand function is P = 150 − 2Q, and the firm’s cost function is C(Q) = 4Q. Determine the firm’s equilibrium price and corresponding profits.A microbrewery operates next to the Bushville Lake and uses water from the lake during production. The marginal cost of beer production is: MC = 8 + 2Q where Q is the quantity of beer produced (keg). The brewery sells its output at a market price of $40/keg. Because the industry is perfectly competitive, the brewery’s action does not affect the market price. The Bushville Lake is also used for kayaking and recreational fishing, but pollution from the brewery reduces the quantity of fish available and makes the lake very unpleasant. Each keg of beer produced emits a pound of pollutants that causes a loss of recreation opportunities worth $3. a) How much beer will be produced? b) What is the efficient level of beer production? If the government used a Pigouvian tax to achieve this goal, what would the tax be?
- Consider a market with demand function P = 12 - 0.04Q and marginal cost function P = 6 + 0.12Q. (a) If this market is perfectly competitive, compute the equilibrium price, the equilibrium quantity, the consumer surplus and the producer surplus in the market. (b) If this market is a monopoly, compute the equilibrium price, the equilibrium quantity, the consumer surplus, the producer surplus and the deadweight loss (if any) in the market. Support your answers for (a) and (b) with one suitable market diagramAOF is the only firm selling beer around Isla Vitas, which has a beer fountain in the backyard so the marginal cost of producing beer is 0. There are two groups of consumers: students and non students. The students' beer inverse demand function is p = 60 – 6q , and the non-students' beer inverse demand function is p = 10 – 2q. AOF sells beer in two sizes: 10 ounces bottle and 5 ounces can. Due to a local act, the consumers can only buy either 1 bottle or 1 can of beer. AOF can charge different prices on each bottle and each can of beer, while it cannot tell whether a customer is a student or not. In order to maximize the profits, how much should AOF charge its 10 ounces bottle? Answer: 37.5 The correct answer is: 100.0The market demand for a type of carpet has been estimated as P= 75 – 1.5Q Where P is price ($/yard) and Q is output per time period ( thousands of yards per month). The market supply is expressed as P= 25 + 0.5 Q. a typical competitive firm that markets this type of carpet has a marginal cost of production of MC= 2.5 + 10q Determine the market equilibrium price for this type of carpet. Also determine the production rate in the market, Determine how much the typical firm will produce per week at the equilibrium price. If all firms had the same cost structure, how many firms would compete at the equilibrium price computed in (a) above?
- Suppose we have two identical fırms A and B, selling identical products. They are the only firms in the market and compete by choosing quantities at the same time. The Market demand curve is given by P=287-Q. The only cost is a constant marginal cost of $13. If Firm A produces a quantity of 60 and Firm B produces a quantity of 33, what is market price? Enter a number only, no $ sign. 194Let us consider a market where 10 firms I= {1,2,.,10} compete à la Cournot (quantity- setting competition). The inverse demand function is given by p( Q) =1200-18Q , where Q= Eiqi. The cost function is homogeneous and it is C( q ) =10q. 1.the profit functions of eachiEl is: 2.Derive the best reply functions for each firm 3.Derive the market price in the Nash equilibrium of the game. 4. The market price in the Nash equilibrium of the game is:Suppose a single firm produces all of the output in a contestable market. Analysts determine that the market inverse demand function is P = 400 -4Q, and the firm’s cost function is C(Q) = 16Q. Determine the firm’s equilibrium price and corresponding profits.Price: $ Profits: $
- AOF is the only firm selling beer around Isla Vitas, which has a beer fountain in the backyard so the marginal cost of producing beer is 0. There are two groups of consumers: students and non students. The students' beer inverse demand function is p=50-5q, and the non-students' beer inverse demand function is p=10-2q. AOF sells beer in two sizes: 10 ounces bottle and 5 ounces can. Due to a local act, the consumers can only buy either 1 bottle or 1 can of beer. AOF can charge different prices on each bottle and each can of beer, while it cannot tell whether a customer is a student or not. In order to maximize the profits, how much should AOF charge its 10 ounces bottle? Answer: 87.5Consider a market for cars with just one firm. The firm has a linear cost functionC(q) = 2q. The market inverse demand function is P(Q) = 9 − Q, where Q is thetotal quantity produced. Since initially there is just one firm, q = Q.(a) Set up the maximisation problem for the monopolist and determine the optimalprice and quantity of cars produced. How much profit does the firm make?Suppose a single firm produces all of the output in a contestable market. Analysts determine that the market inverse demand function is P = 200 -2Q, and the firm’s cost function is C(Q) = 8Q. Determine the firm’s equilibrium price and corresponding profits. Price: $ Profits: $