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-asenator, 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 andthe governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 33, 37, and 41 (in thousands) viewers will watch the program for eachminute 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 themaximum number of viewers.The quantity to be maximized, z, is the number of viewers in thousands. Let x₁ be the total number of minutes allotted to the senator, x₂ be the total number of minutes allotted to thecongresswoman, andI x3 be the total number of minutes allotted to the governor. What is the objective function?Z= x₁ + x₂ + x3The senator should be allotted(Simplify your answer.)minutes.The congresswoman should be allotted(Simplify your answer.)minutes.The governor should be allotted minutes.(Simplify your answer.)The maximum number of viewers is(Simplify your answer.)

let the quantity to be maximized, z, is the number of viewers in thousands. Let x1, be the total…

Answered: The quantity to be maximized, z, is the…

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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