A political party is planning a two-hour television show. The show will have at least 12 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 govemor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 39, 43, and 47 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and govemor, 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, be the total number of minutes allotted to the senator, x₂ be the total number of minutes allotted to the congresswoman, and x, be the total number of minutes allotted to the governor. What is the objective function? za The senator should be allotted minutes. (Simplify your answer.) The congresswoman should be allotted minutes. (Simplify your answer)

A political party is planning a two-hour television show. The show will have at least 12 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 govemor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 39, 43, and 47 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and govemor, 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, be the total number of minutes allotted to the senator, x₂ be the total number of minutes allotted to the congresswoman, and x, be the total number of minutes allotted to the governor. What is the objective function? za The senator should be allotted minutes. (Simplify your answer.) The congresswoman should be allotted minutes. (Simplify your answer)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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