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-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 senatorand the governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 37, 43, and 49 (in thousands) viewers will watch the program foreach 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. Findthe 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, X, be the total number of minutes allotted to thecongresswoman, and xa be the total number of minutes allotted to the governor. What is the objective function?

In this question, the concept of Linear Programming is applied. Linear Programming An approach to…

Answered: atesman," demands that he be on screen…

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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