Two firms both produce leather boots. The inverse demand equation is given by P = 340 - 2Q, where P is the price of boots in USD/pair and Q is quantity of boots in million pair. The cost function is given by: C(Q) = 40Q. If the two firms are Stackelberg oligopolists), the output of the leader is equal to: 1) 60 2) 80 3) 75 4) 900
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Two firms both produce leather boots. The inverse
1) 60
2) 80
3) 75
4) 900
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- Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function:P=1000−QC−QDwhere QC and QD are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCC=15,000+50QC TCD=10,000+75QD Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change). Please, find the equilibrium output of firm C.Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function:P = 600 - QC - QDwhere QC and QD are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies areTCC = 25000 + 100QCTCD = 20000 + 125QDAssume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change).a. Determine the long-run equilibrium output and selling price for each firm.b. Determine the total profits for each firm at the equilibrium output found in Part (a).Alpha and Gamma are the only two phone handset manufacturers in the world. Each firm has a cost function given by: C(q) = cq + q?, where q is number of phones produced and c=70. The market demand for phones is represented by the inverse demand equation: P = a - bQ where Q = q1 + q2 is total output, a=250 and b=1. Suppose that each firm maximizes its profits taking its rival's output as given (i.e. the firms behave as Cournot oligopolists). a) What will be the equilibrium quantity selected by each firm? What is the market price? What is the profit level for each firm? Equilibrium quantity for each firm , price , profit b) It occurs to the managers of Alpha and Gamma that they could do a lot better by colluding. If the two firms were to collude, what would be the profit-maximizing choice of output for each firm? What is the industry price? What is the profit for each firm in this case? Equilibrium quantity for each firm , price , profit c) What minimum discount factor is required for…
- Suppose you are employed at a monopolistic company as a research (pricing) economist and you are deriving the behavior of two markets based on demand curves given by: Di(P1) 3 50 — Pі D:(p>) — 50 — 2р2 Assume that the marginal cost is constant at $8 a unit. (a) If it can price discriminate, what price should it charge in each market in order to maximize profits? (b) If it can't price discriminate, what price should it charge?There are only two driveway paving companies in a small town, Asphalt, Inc. and Blacktop Bros. The inverse demand curve for paving services is ?= 2040 ―20? where quantity is measured in pave jobs per month and price is measured in dollars per job. Assume Asphalt, Inc. has a marginal cost of $100 per driveway and Blacktop Bros. has a marginal cost of $150. Answer the following questions: Determine each firm’s reaction curve and graph it. How many paving jobs will each firm produce in Cournot equilibrium? What will the market price of a pave job be? How much profit does each firm earn?Suppose the total demand for specialty coffee per hour in Ruston is Q = 640 - 80P. There are six (n = 6) monopolistically competitive firms currently in the market selling some variety of specialty coffee, each with total cost curves given by: TC₁ = 20+q; +0.0125q²| a. Find the proportional demand faced by one coffee shop, denoted Firm i. That is, suppose the firms have equal market share and determine the demand function for a single firm. b. Calculate the optimal quantity produced by Firm i. c. Calculate Firm i's profits. Will there be entry or exit by other coffee shops over time? d. Provide a generic graph the long-run outcome for Firm i given your prediction from (c). Label curves, axes, and intersection points.
- Suppose two firms engage in simultaneous quantity competition. Both firms have 0marginal cost. Firm A : P(Q)= 24-Q Firm B: P(Q)= 24-2Q a) Find the Nash Equilibrium quantities q^NE and profits.(b) Find the Monopoly Quantity QM and Profit.(c) Now suppose the game is repeated infinitely and each firm has a common discountfactor δ. Find the required discount factor to sustain the following grim triggerstrategy as a SPNE: Play Q^M /2 if this has been played in every previous period,otherwise play q^NE.Ugly Dolls Inc. (UD) is a firm in Mytown that sells its products on a market under monopolistic competition. The cost function of UD is represented by TC = 100+10Q. Lately, because of the UD is making a big amount of profit, some firms enter the market to compete. If the number of firms entering the dolls market increase, we know that, (a) The price of dolls will drop. (b) The average cost of UD will increase. (c) The quantity sold by UD will drop. (d) All the above answers are correct.Gamma and Zeta are the only two widget manufacturers in the world. Each firm has a cost function given by: C(q) = 10+20q + q^2, where q is number of widgets produced. The market demand for widgets is represented by the inverse demand equation: P = 200 - 2Q where Q = q1 + q2 is total output. Suppose that each firm maximizes its profits taking its rival's output as given (i.e. the firms behave as Cournot oligopolists). a) What will be the equilibrium quantity selected by each firm? What is the market price? What is the profit level for each firm? Equilibrium quantity for each firm__ price__ profit__ b) It occurs to the managers of Gamma and Zeta that they could do a lot better by colluding. If the two firms were to collude in a symmetric equilibrium, what would be the profit-maximizing choice of output for each firm? What is the industry price? What is the profit for each firm in this case? Equilibrium quantity for each firm__ price__ profit__ c) What minimum discount factor is required…
- Additional Problem 3: Assume two companies (C and D) are Cournot duopolists that produce identical products. Demand for the products is given by the following linear demand function: ? = 600 − ?C − ?D where ?C and ?D are the quantities sold by the respective firms and P is the price. Total cost functions for the two companies are ??C= 25,000 +100?C 2 ??D = 20,000 + 125?D c. Determine the equilibrium price and quantities sold by each firm. d.Determine the profits for the market as well as eachfirm.The market price of laptops in a certain city is determined by P = 1,400 – Q where Q represents the total number of laptops produced. The total cost of producing q laptops is TC = 200q +50,000 for any firm in this market. (e) Suppose both firms are able to collude and equally split monopoly production. What is the profit for each firm?Ugly Dolls Inc. (UD) is a firm in Mytown that sells its products on a market under monopolistic competition. The cost function of UD is represented by TC = 100+10Q. Lately, because of the UD is making a big amount of profit, some firms enter the market to compete. Assume that Mytown engages in free trade in the dolls markets with Yourtown, who also faces a market with monopolistic competition. Because of this we can expect that, (a) The numbers of firms operating in this market will not change. (b) At equilibrium the profit of firms will increase. (c) The quantity of types of dolls available to consumers will increase. (d) All the above answers are correct.