2. Consider a market for a homogenous good with the following inverse demand function: P = 52 – 2Q where Qis total sold quantity on the market. (a) If there is only one firm serving the market and the firm's cost function is C(Q) = 4Q, what quantity will be sold on the market? What will be the market price? What is the firm's profits? Is the market outcome efficient? (b) Suddenly, there is a potential rival firm considering entering the market. It would produce the same good as the incumbent firm and would have an identical variable cost but has a fixed cost of entry, F = 100. The two firms would be faced with a problem of simultaneously deciding on how of the good to sell on the market (the inverse demand function is still the same). Derive both firms' best response functions and draw these in a diagram. Explain the Nash equilibrium in the diagram. (c) Following from (b), what would be the new equilibrium quantity sold in the market and what is the equilibrium market price? Would the potential entrant enter the market?

2. Consider a market for a homogenous good with the following inverse demand function: P = 52 – 2Q where Qis total sold quantity on the market. (a) If there is only one firm serving the market and the firm's cost function is C(Q) = 4Q, what quantity will be sold on the market? What will be the market price? What is the firm's profits? Is the market outcome efficient? (b) Suddenly, there is a potential rival firm considering entering the market. It would produce the same good as the incumbent firm and would have an identical variable cost but has a fixed cost of entry, F = 100. The two firms would be faced with a problem of simultaneously deciding on how of the good to sell on the market (the inverse demand function is still the same). Derive both firms' best response functions and draw these in a diagram. Explain the Nash equilibrium in the diagram. (c) Following from (b), what would be the new equilibrium quantity sold in the market and what is the equilibrium market price? Would the potential entrant enter the market?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter12: The Partial Equilibrium Competitive Model

Section: Chapter Questions

Problem 12.9P

See similar textbooks

Similar questions

Suppose the cost function of firm A, which produces two goods, is given by C = 100 − .5 Q1Q2 + (Q1)2 + (Q2)2 The firm wishes to produce 5 units of good 1 and 4 units of good 2. 1. Do cost complementarities exist? Do economies of scope exist? 2. Firm A is considering selling the subsidiary that produces good 2 to firm B, in which case it will produce only good 1. What will happen to firm A’s costs if it continues to produce 5 units of good 1?
Suppose there are in total 3 firms in the market. Firm 1 decides its output first, then Firm 2 and Firm 3 decide their outputs simultaneously. The inverse demand function is p = 20-3q, where q = q1+q2+q3, and each firm's cost function is ci(qi) = 5qi2. What is the quantity that Firm 1 produces? Round your answer to 2 decimal points.
Suppose that each firm in a competitive industry has the following identical costs:Total cost: TC = 25+0.25Q2,where Q is an individual firm’s quantity produced.The market demand curve for this product is as follow:Demand: P=60-0.095Q,where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm’s fixed cost, variable cost, and its marginal cost.(ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm’s supply function is Qi= a+bP then the market supply Qm can be the aggregated supply at each price as Qm = Q1+Q2+Q3+...+Qi where Qi is each firm’s supply function.)
Suppose a firm’s inverse demand curve is given by P = 120 - .5Q and its cost equation is C = 420 + 60Q + Q2. a. Find the firm’s optimal quantity, price, and profit (1) by using the profit and marginal profit equations and (2) by setting MR equal to MC. Also provide a graph of MR and MC. b. Suppose instead that the firm can sell any and all of its output at the fixed market price P 120. Find the firm’s optimal output.
Consider the market for bicycles in the fictional province of Westvale. The market demand function for bicycles is given by P=300-2Q. The marginal cost curve for firms in this market is given by P=40+Q. Prices are measured in dollars. a) Under a competitive market equilibrium, what is the price of a bicycle? b) How many bicycles are produced under a competitive market equilibrium? c) Calculate consumer surplus, producer surplus, and total surplus under the competitive market equilibrium Suppose that the firms that were once competing in this market merge into one single firm, forming a monopoly. This monopoly has a marginal revenue function of P=300-4Q. d) What price does this monopolist charge? e) How many bicycles does the monopolist produce? f) Calculate consumer surplus, producer surplus, and total surplus under the monopolistic market outcome g) How much deadweight loss resulted from the creation of the monopolist?
Consider a homogeneous goods industry where two firms operate and the linear demand is given by p(y1 + y2 ) = a - b(y1 + y2 ), where p is the market price, and y1 (y2) is the output produced by firm 1 (2). There are no costs for firm 1 or firm 2. A. What is the industry output? B. Suppose the inverse demand curve in a market is D(p) =a-bp, where D(p) is the quantity demanded and p is the market price. Firm 1 is the leader and has a cost function c1(y1)=cy1 while firm 2 is the follower with a cost function c2(y2 )= y^22/2 (image of function attached). Firm 1 sets its price to maximise its profit. Firm 1 correctly forecasts that the follower takes the price leader’s chosen price as given (price taker) and chooses output so as to maximise its own profit. Write down the profit function of the follower. Calculate the profit maximising quantity that the follower selects given the leader’s chosen price p (i.e., calculate the follower’s supply curve S(p)). Interpret the solution to the…
Please Answer both questions briefly Q1. What are the equilibrium conditions for a firm operating in a differentiated goods market? Q2. Under what assumption is the equilibrium in a differentiated goods market Pareto inefficient?
Consider a homogeneous goods industry where two firms operate and the linear demand is given by p(y1 + y2 ) = a - b(y1 + y2 ), where p is the market price, and y1 (y2) is the output produced by firm 1 (2). There are no costs for firm 1 or firm 2 C. Suppose the inverse demand curve in a market is D(p) =a-bp, where D(p) is the quantity demanded and p is the market price. Firm 1 is the leader and has a cost function c1(y1)=cy1 while firm 2 is the follower with a cost function c2(y2 )=. Firm 1 sets its price to maximise its profit. Firm 1 correctly forecasts that the follower takes the price leader’s chosen price as given (price taker) and chooses output so as to maximise its own profit. Write down the profit function of the follower. Calculate the profit maximising quantity that the follower selects given the leader’s chosen price p (i.e., calculate the follower’s supply curve S(p)). Interpret the solution to the profit maximising problem. D. The leader is facing the residual…
*COULD YOU SOLVE D-F* Suppose the inverse demand function is P = a −bQ, where a is the market price whenQ=0 and b is the slope of the function. Suppose there are two firms, Firm 1 and Firm 2, where their cost functions are denoted by Ci(Qi) = ciQi for i ∈{1, 2}. a) Write the profit function for each firm with price as a function of Q1, Q2 b) Solve for M Ri for i ∈{1, 2}and solve for the Best Response Functions (where M Ri = M Ci) c) Solve for the Nash Equilibrium. Note that your answer will be in terms of (a, c1, c2, b) d) Solve for the price of the market, P using the inverse demand function and your answersfrom part (c). Note that your answer will be in terms of (a, c1, c2, b) e) Solve for the profit for each firm. Note that your answer will be in terms of (a, c1, c2, b) f) If c1 = c2, what value of a will profit equal 0 for both firms?
Assume the market for tortillas is perfectly competitive. The market supply and demand curves for tortillas are given as follows: Supply curve: P = 5Q Demand curve: P = 120 - 10Q The short run marginal cost curve for a typical tortilla factory is: MC = 20q Assuming all tortilla factories are identical, calculate the following: Equilibrium price for tortillas: __1__ Profit maximizing short run equilibrium level of output for a tortilla factory: __2__ Given profit maximizing output as above, a tortilla factory is: __3__ Total number of tortilla factories: __4__ Producer surplus of a tortilla factory: __5__
The total cost function of one of the firms is expressed by C(Q) = 100 + 4Q2, and demand is P = 80 – 4Q Find the equilibrium price and total quantity that the industry produces. Suppose that Jollibee successfully acquired McDonalds through a hostile takeover. What would be the new equilibrium price and quantity if MR = 80 – 4Q? Is this hostile takeover beneficial?
Suppose that each firm in a competitive industry has the following costs: Total Cost: TC=50+12q2TC=50+12q2 Marginal Cost: MC=qMC=q where qq is an individual firm's quantity produced. The market demand curve for this product is: Demand QD=140−2PQD=140−2P where PP is the price and QQ is the total quantity of the good. Each firm's fixed cost is . What is each firm's variable cost? 50+12q50+12q 12q12q qq 12q212q2 Which of the following represents the equation for each firm's average total cost? 50q+12q50q+12q 50q50q 50+12q50+12q 12q12q Complete the following table by computing the marginal cost and average total cost for qq from 5 to 15. q Marginal Cost Average Total Cost (Units) (Dollars) (Dollars) 5 12.50 6 11.33 7 10.64 8 10.25 9 10.06 10 10.00 11 10.05 12 10.17 13 10.35 14 10.57…