Question

coNunS N w Calculator Print Item eBook Problem 5-13 Two television stations compete with each other for viewing audience. Local programming options for the 5:00 P.M. weekday time slot include a sitcom rerun, an early news program, or a home improvement show. Each station has the same programming options and must make its preseason program selection before knowing what the other television station will do. The viewing audience gains in thousands of viewers for Station A are shown in the payoff table. Station B Sitcom News Home Rerun Program Improvement bi bz b3 Sitcom Rerun a 10 -5 3 Station A News Program a2 8 7 6 7 Home Improvement as 4 Determine the optimal strategy for each station. Round your answers to two decimal places. If your answer is zero, enter zero "0". The optimal strategy is for Station A to implement strategy at with probability 0, strategy a2 With probability 8 X, and strategy as with probability 9 X. The optimal strategy is for Station B to implement strategy bi with probability 0 X, strategy ba2 with probability V,and strategy ba with probability X. What is the value of the game? Round your answer to two decimal places. The value of the game Feedback

Answer 1

Solufion: Stotion B Home impaovement News pograo SHComve tum ba Sttcom retun 10 -5 Station News paogna A A Home improvermu This table shows the veiusing audience gaim dat for stationa. means, Sitcom return ai station A gain 1O00 vietoe and station 8 Loses 10o0 Viecweic 8tation tes to deteomine a 9talgy WIfth optimal Gtategy each most hich mions LOOT9t Cale Scenano in cohich toil osethe is fast detesmined of each gtalegY Section A for Sitcom dHTn al, usith twoNgt case ganono for sectiom A 500o viecwe19 tooses for neos pongram aa, Le th cooset case senoro for Section A t gans Gooo viewers fOr tome impovement a8, witb worst Case Scenavio for Section A gains 4ooo viecoers Station B FOY Sitcom Tetuon bi the woSt caje 3cemoio for Section B 10000 vieaCT S. thot loaseg

9cencro fOr stotion B For neos pmogam ba, the woTst case t looses 000 viewers for the otmal Stategy oitl be ohere both atations fotlow a Porc fn each lases the least Station A poefers TOus 3 0 Home impopvement 03 Here Section B poepers column 3 or the least and PadgTam ft looses the least Home imprDvement b3 praram cohere IF loses Game value need to reMOVe regmesSIve For calculating value of game, we ows and columns udhich are the wdst Stalegy and Loll efers Station 8, al is cuoast and For Station B, For mever be follow b ia cuOrst fhnally matrix to calculate value is ceated by emoving CWOTS ase scenaios: Station B Gcb) a) 9tation B d) 8(c) Denominato for value calculation D (atd) (btc ) = 14-14 o value of game bc ad ad-bc infintty