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lafuiciosa10
lafuiciosa10
29.04.2021 • 
Mathematics

A local news channel plans a 45​-minute Saturday morning news show. The show will be divided into three segments involving​ sports, news, and weather. Market research has shown that the sports segment should be twice as long as the weather segment. The total time taken by the sports and weather segments should be twice the time taken by the news segment. On the basis of the market​ research, it is believed that 40​, 65​, and 60 ​(in thousands) viewers will watch the program for each minute the​ sports, news, and weather​ segments, respectively, are on the air. Use the simplex method to complete parts​ (a) and​ (b). Maximize z = 40x1 + 65x2 + 60 x3
subject to x1 + x2 + x3 ≤ 45
−x1 + 2x3 ≤ 0
−x1 + 2x2 − x3 ≤ 0
x1 ≥ ​0, x2 ≥ ​0, x3 ≥ 0.

The maximum number of viewers is BLANK**. In order to get that number of​ viewers, there should be** BLANK minutes of​ sports, BLANK minutes of​ news, and BLANK minutes of weather.

My TI-84 calculator broke and I don't understand the textbook. Could someone explain how I solve this question?

Simplex tableau:
[ 1 1 1 1 0 0 45]
[ -1 0 2 0 1 0 0]
[ -1 2 -1 0 0 1 0]
[ 40 65 60 0 0 0 ]

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