A department store is about to order deluxe, standard, and economy grade DVD players for next year's inventory. The state of the nation's economy (fate) during the year will be a factor on sales for that year. Records over the past 5 years show that if the economy is up, the store will net 4, 3, and 1 million dollars, respectively, on sales of deluxe, standard, and economy grade models; if the economy is down, the company will net - 1, 0, and 3 million dollars, respectively, on sales of deluxe, standard, and economy grade models. Complete parts A through D below. (A) Set up a payoff matrix for this problem. Economy (fate) Up Down Deluxe Dept. Store Standard Economy

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter5: Business And Economic Forecasting
Section: Chapter Questions
Problem 7E: The Questor Corporation has experienced the following sales pattern over a 10-year period: Compute...
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A department store is about to order deluxe, standard, and economy grade DVD players for next year's inventory. The state of the nation's economy (fate) during the year will be a factor on sales for that year. Records over the past 5
years show that if the economy is up, the store will net 4, 3, and 1 million dollars, respectively, on sales of deluxe, standard, and economy grade models; if the economy is down, the company will net – 1, 0, and 3 million dollars,
respectively, on sales of deluxe, standard, and economy grade models. Complete parts A through D below.
...
(A) Set up a payoff matrix for this problem.
Economy (fate)
Up
Down
Deluxe
Dept. Store
Standard
Economy
Transcribed Image Text:A department store is about to order deluxe, standard, and economy grade DVD players for next year's inventory. The state of the nation's economy (fate) during the year will be a factor on sales for that year. Records over the past 5 years show that if the economy is up, the store will net 4, 3, and 1 million dollars, respectively, on sales of deluxe, standard, and economy grade models; if the economy is down, the company will net – 1, 0, and 3 million dollars, respectively, on sales of deluxe, standard, and economy grade models. Complete parts A through D below. ... (A) Set up a payoff matrix for this problem. Economy (fate) Up Down Deluxe Dept. Store Standard Economy
(B) Find optimal strategies for both the company and fate (the economy). What is the value of the game?
Find P*, the optimal strategy for the row player, the department store.
P*
(Simplify your answer.)
Find Q*, the optimal strategy for the column player, the economy (fate).
Q* =
(Simplify your answer.)
Find v, the value of the game.
V =
(Simplify your answer.)
Transcribed Image Text:(B) Find optimal strategies for both the company and fate (the economy). What is the value of the game? Find P*, the optimal strategy for the row player, the department store. P* (Simplify your answer.) Find Q*, the optimal strategy for the column player, the economy (fate). Q* = (Simplify your answer.) Find v, the value of the game. V = (Simplify your answer.)
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