A political party is planning an hour-long television show. The show will have a

Question

A political party is planning an hour-long television show. The show will have at least 6 minutes of direct requests for money from viewers. Three of the party's politicians will be on the show a senator, a congresswoman, and a governor. The senator, a party elder statesman, " demands that he be on screen for at least twice as long as the governor. The total time taken by the senator and the governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 38, 43, and 48 (in thousands) viewers will watch the program for each minute the senator, congresswoman and governor, respectively, are on the air Find the time that should be allotted to each politician in order to get the maximum number of viewers. Find the maximum number of viewers The quantity to be maximized, z. is the number of viewers in thousands. Let x _1 be the total number of minutes allotted to the senator, x _2 be the total number of minutes allotted to the congresswoman, and x _3 be the total number of minutes allotted to the governor. What is the objective function? Z = x _1 + x _2 + x _3

Explanation / Answer

x1 = senator ; x2=congresswoman and x3 = governor

x1+x2+x3 <= 54

x2 >=2x1

x1+x3 >= 2x2

x1,x2,and x3 >=0

z =38x1 + 43x2 +48x3

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