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atesman," demands that he be on screen for at least twice as long as the- man. Based on a pre-show survey, it is believed that 37, 43, and 49 (in th e on the air. Find the time that should be allotted to each politician in order ... et y. he the total number of minutes allotted to the senator, x2 be the tota

atesman," demands that he be on screen for at least twice as long as the- man. Based on a pre-show survey, it is believed that 37, 43, and 49 (in th e on the air. Find the time that should be allotted to each politician in order ... et y. he the total number of minutes allotted to the senator, x2 be the tota

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 37, 43, 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, X, be the total number of minutes allotted to the congresswoman, and xa be the total number of minutes allotted to the governor. What is the objective function?
Transcribed Image Text: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 37, 43, 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, X, be the total number of minutes allotted to the congresswoman, and xa be the total number of minutes allotted to the governor. What is the objective function?
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