In an industry where firms use workers with different personality traits to produce a product. Workers vary in their personality traits, and these can be divided into 12 types along a wheel. Firms enter the market with a specific required personality trait. If a worker's personality trait does not match the firm's desired personality trait, the firm incurs an adaptation cost to close the gap, with a cost of $3 for each unit of personality shift. For example, to go from trait #2 to trait #4, the cost is $6. Given the scale economies in the industry, each firm manages three workers. The gross wage is $20. 1. Company A has six workers, equally spaced on the personality trait wheel at 12:00, 2:00, 4:00, etc. There will be firms in the city, with firm A at 12:00 and the other firm or firms at 2. Illustrate with a graph 3. trait units and the average For the typical firm, the average mismatch is adaptation cost is The average net wage after adaptation costs is 4. Company B has twice as many workers as Company A. It will have. average adaptation cost is_ firms. The The average net wage after adaptation costs is

In an industry where firms use workers with different personality traits to produce a product. Workers vary in their personality traits, and these can be divided into 12 types along a wheel. Firms enter the market with a specific required personality trait. If a worker's personality trait does not match the firm's desired personality trait, the firm incurs an adaptation cost to close the gap, with a cost of $3 for each unit of personality shift. For example, to go from trait #2 to trait #4, the cost is $6. Given the scale economies in the industry, each firm manages three workers. The gross wage is $20. 1. Company A has six workers, equally spaced on the personality trait wheel at 12:00, 2:00, 4:00, etc. There will be firms in the city, with firm A at 12:00 and the other firm or firms at 2. Illustrate with a graph 3. trait units and the average For the typical firm, the average mismatch is adaptation cost is The average net wage after adaptation costs is 4. Company B has twice as many workers as Company A. It will have. average adaptation cost is_ firms. The The average net wage after adaptation costs is

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Can someone please explain how to answer this using piecewise function?
Firm 1 and firm 2 compete with each other by choosing quantities. The market demand is given by P(Q) = ( 300 − Q, if Q < 300) (0, otherwise), where Q = q1 + q2. Firm 1 has a cost function C1(q1) = 40q1, and firm 2 has a cost function C2(q2) = 50q2. Answer the following questions. 1. Assume the game lasts only one period. Compute the equilibrium price, quantities and profits for both firms. 2. If firm 1 becomes the monopolist on this market, what quantities will firm 1 choose to produce? Denote this quantity as QM. 3. One possible strategy is that each firm produces QM 2 . Would the resulting outcome be better for both firms (Pareto improvement)? Explain why this is not the equilibrium in the one period game. 4. Assume this game is infinitely repeated and the interest rate in this economy is r. For what values of r the strategy in (3) is sustainable by using a “Grim Trigger” strategy?
Textbook publishers hope to maximize profits. Authors, however, face very different incentives. Authors are typically paid royalties, which are a specific percentage of total revenue from the sale of a book. And so, for example, if an author's contract says that she will receive 20 percent of the revenues from the sale of a text and the publisher's total revenues are $100,000, the author's royalties will be $20,000. Who will prefer a higher price for the text, the publisher or the author or both prefer the same price?
A manufacturer of fine pens produces in two plants. The total cost of producing in the first plant is given by TC1 = yi + 100. The total cost of producing in the second plant is given by TC2 + 200. 3 In these cost functions, y1 corresponds to the number of pens produced in the first plant, and y2 corresponds to the number of pens produced in the second plant. Suppose the firm's marginal cost is $256. If the firm is minimizing costs, the firm must be producing pens.
Two firms compete on price every year. The inverse demand function each firm faces depends on which firm has chosen the lowest price that year. The one that did captures the entire market. If, on the other hand, both prices are the same then they split the market evenly. Consumers round up prices to the nearest integer. For the firm with the lowest price p, demand is given by: q = 24-2p: Marginal costs are constant and equal to $4 for both firms. a. Define the Normal form of the stage game and determine the Nash Equilibria, the Cooperative Equilibrium and the Optimal Deviation from cooperation. b. For the once repeated (2 stages) game, determine if a Nash Equilibrium exists that improves on simply playing the (better) Nash Equilibrium of the stage game twice c. For the infinitely repeated game, determine what the interest rate would have to be to prevent the firms from cooperating. d*. Determine the relation between the interest rate and the number of punishment periods in a…
Carl and Simon are two pumpkin growers who are the only sellers of pumpkins at the market. The demand function for pumpkins is Q = 16,400 – 400P, where Q is the total number of pumpkins that reach the market and P is the price of pumpkins. Suppose further that each farmer has a constant marginal cost of $1 for each pumpkin produced. Assume that Carl can tell, by looking at Simon's fields, how many pumpkins Simon planted and how many Simon will harvest in the fall. (Suppose that Simon will sell every pumpkin that he produces.) Therefore, Carl sees how many pumpkins Simon is actually going to sell this year. Carl has this information before he makes his own decision about how many to plant. If Simon plants enough pumpkins to yield Qs this year, then Carl knows that the profit maximising amount to produce this year is Qcarl = O 8,000 – Qs/2. O 16,400 – 400Qs. O 16,400 – 800Qs. O 4,000 – Qs/2. O 12,000 – Qs.
Suppose two firms, A and B, have a cost function of ?(??) = 30??, for ? = ?, ?. The inverse demand for the market is given by ? = 120 − ?, where Q represents the total quantity in the market, ? = ?? + ??. 1. Solve for the firms’ outputs in a Nash Equilibrium of the Cournot Model. 2. Let Firm A be the first mover, and Firm B be the second mover. Solve for the firms’ outputs in a SPNE of the Stackelberg Model.
Use the photo at exercise 14 to solve the problem below With the Firm Y response function Qy=600-1/2Qx and the Firm XX response function Qx=600-1/2Qy Imagine that firm X chooses their quantity first, then firm Y observes the quantity of firm X and chooses their own quantity. What quantities will they end up choosing? Is there a first or second-mover advantage here? [You may assume that firm X can only choose quantities that are multiples of 200. This prevents you from having to deal with prices that are not on the schedule. just a little thinking about how equilibrium works in a sequential-move game. Oh, and just give me the quantity for each firm, don't worry about giving me a complete strategy for firm Y.]
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Two firms, A and B, sell the same good X in a market with total demand Q = 100 – P. The two firms compete on quantities and decides how much to produce simultaneously. Firm A cost function is C(qA) = 40qA. Firm B cost function is C(qB) = 60qB. 1. Find the best reply functions of both firms and represent them in a graph. 2. Find the quantity produced by each firm in a Nash equilibrium. 3. Find the firms and consumers surplus. 4. Compare the surplus of firms found above with the surplus arising when both firm cooperate to sustain a monopoly outcome. 5. Assume now that A and B compete as in a Stackelberg model. A chooses first and B chooses after observing the choice of A. Find equilibrium quantities produced by each firm and the market equilibrium price.
In the Bertrand model, suppose that each firm has a marginal cost of £10 and that firm 1 sets a price of £9.99, which of the following a best-response for firm 2? Click all the correct answers. £10.01 £9.98 £10.00 £11.01 £9.99
Two firms, Incumbent & Entrant, can produce the same good. The market demand for the good is given by P = 180 – Q, where P is the market price and Q is the market quantity demanded. The firms must pay w = 45 per unit of output for labour and r = 45 per unit of output for capital (one unit of capital is used per unit of output), but Incumbent may choose capacity KI units of capital before Entrant decides whether to enter the market. Suppose firms each have fixed costs FI =600, FE=500. Incumbent chooses (as a Stackelberg leader) capacity KI equal to the monopoly profit- maximizing quantity. When you answer the following questions, show your work. a. Would Incumbent be able to prevent entry by choosing capacity KI equal to the monopoly profit-maximizing quantity? Explain. b. What is the Incumbent’s equilibrium choice of capacity KI in this Dixit game? c. Does the Incumbent’s choice of capacity KI in part (b) qualify as predatory conduct (here, limit output)? Explain.