Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A political party is planning a ninety-minute television show. The show will have at least 9 minutes of direct requests for money from viewers.

image text in transcribed

A political party is planning a ninety-minute television show. The show will have at least 9 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 39, 44, and 49 (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 be the total number of minutes allotted to the senator, x2 be the total number of minutes allotted to the congresswoman, and x3 be the total number of minutes allotted to the governor. What is the objective function? z= The senator should be allotted (Simplify your answer.) minutes. The congresswoman should be allotted minutes. (Simplify your answer.) The governor should be allotted (Simplify your answer.) The maximum number of viewers is (Simplify your answer.) minutes.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Riemannian Geometry

Authors: Peter Petersen

3rd Edition

3319266543, 9783319266541

More Books

Students also viewed these Mathematics questions