Two competing firms must simultaneously determine howmuch of a product to produce. The total profit earned by thetwo firms is always $1,000. If firm 1’s production level is lowand firm 2’s is also low, then firm 1 earns a profit of $500; iffirm 1’s level is low and 2’s is high, then firm 1’s profit is$400. If firm 1’s production level is high and so is firm 2’s,then firm 1’s profit is $600; but if firm 1’s level is high whilefirm 2’s level is low, then firm 1’s profit is only $300. Find thevalue and optimal strategies for this constant-sum game.

Store A and Store B compete for the business of the same customer base.  Store A has 55% of the business and Store B has 45 %. Both companies intend to expand to increasse their market share.  If both expand, or neither expand, they expect theri market share to remain the same.  If Store A expands and Store B does not, the Store A"A share increases to 65%.  If Store B expands and Store A  doesnt, then Store A's share drops to 50%.  Determine which strategy, to expand or not, each company should take.

A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s)       Annual Revenue ($ millions)11.5                   118 10.0                   135 9.0                     100 5.5                     37 3.3                     32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA   df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677     Total 4 8925.2           Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…