A4 Three firms compete in the style of Bertrand. All firms have the same cost function: TC(q) = 8q. They producedifferentiated products that are substitutes. The demand system is given by the following equations:Demand for Firm 1: q: = 95– 20p: + 10p2 + 5p3.Demand for Firm 2: q2 = 95 – 20p2 + 10p: + 5p3.Demand for Firm 3: q3 = 100 – 20p3 + 5pi + 5p2.A. Please compute the Nash equilibrium prices.B. Now suppose firm 1 and firm 2 merge and become a single firm. Firm 3 and the merged firm compete in the styleof Bertrand. Now, pi and p2 are chosen to maximize the total profits of firm 1 and firm 2. Compute the Nashequilibrium prices now.

Answered: Three firms compete in the style of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question THREE: Suppose you are given a set of data for output at a company which manufactures detergents over a period of time. You have determined a relation between total operating cost and the quantity produced and is given by the linear regression model as follows: TC=20,000+2,500Q, where TC=Total Operating Cost (in $) per annum and Q = Quantity produced per annum Required: i. Determine the total operating cost in the event that quantity of production is at 4,500, 12,500 and 7,000units. ii. What do you think would be your reservations in relaying on the linear regression model for budgetary planning purposes?
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Q1. Dallas Mavericks’ owner Mark Cuban proved his business intelligence once again with the acquisition of star player Kristaps Porzingis. To benefit from this blockbuster trade even further, Cuban plans to sell one-time-only special edition Porzingis jerseys at a price of $380 each during the first month of the season (i.e., during October 2019 only). The production cost for each of these jerseys would be $100 thanks to their golden details, and any unsold jersey during October will be sold for $80 during November 2019. Knowing the fan base for years, Cuban estimates demand for these special edition jerseys to follow a normal distribution with a mean of 10,000 units and a standard deviation of 2,000. partc. Cuban also plans to sell these special edition jerseys in his vacation resort. Knowing that people are wealthier in the resort, he sets a price of $500 for each jersey (although production cost stays the same). This time however, he cannot sell any unsold jerseys outside the…
Q.2 AI Muhannad Industrial and Domestic Services, Oman requires on average 4000 sheets of A4 size papers per day at its different office locations in Muscat. Each time the purchase manager orders centrally the A4 size papers, the total expenses incurred to the company are estimated to be 10.6 OMR per order. Presently the company orders 350 reams of papers per order at a flat rate of 2.1 OMR per ream (one ream contains 500 A4 size papers). It takes almost a day for the local supplier to deliver the order. Considering the overall cost of the inventory and the manpower involved, the annual carrying costs for the company is estimated to be 35% of the cost for each ream of the paper. The company operates on 5 days a week over 46 weeks per year. (i) Is the present purchase policy economical for the company? If not, guide the purchase manager in selecting the best economical policy in terms of expected number of orders annually, ordered quantity per order, reorder point and the expected time…
Q1. General Appliance Corp. produces refrigerators at three plants: Marietta, Minneapolis and Phoenix. They ship them to major retail outlets in Chicago, Los Angeles and New York City. The accounting, production and marketing departments have provided the following information in the given tables; Plant capacities over the next planning period, retail outlet demand and unit cost of shipping between any plant and retail outlet. The company would like to minimize the cost of their transportation network by identifying how many units to ship between each plant and retail outlet. 1. Formulate this linear optimization problem by clearly listing the decision variables, objective function and constraints. 2. Create a spreadsheet model for this problem and solve it using Solver. What is the minimum cost? Plant Supply Marietta 1200 Minneapolis 800 Phoenix 1600 Retail Outlet Demand Chicago 650 Los Angeles 1450 New York City 1500…
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