Answer to Question #124812 in Operations Research for Donbeinaa Cynthia

Question

1. As part of a campaign to promote its annual clearance sale, Fanvis Supermarket decided to buy television advertising time on SoftCity TV. Fanvis' television advertising budget is GH¢10,000. Morning time costs GH¢300 per minute, afternoon time costs GH¢100 per minute, and evening (prime) time costs GH¢1,200 per minute. Because of previous commitments, SoftCity cannot offer Fanvis more than 6 minutes of prime time or more than a total of 25 minutes of advertising time over the two weeks in which the commercials are to be run. SoftCity estimates that morning commercials are seen by 200,000 people, afternoon commercials are seen by 100,000 people and evening commercials are seen by 600,000 people.
i) Formulate a Linear Programming Model for the given problem.
ii) Using simplex method, write the initial tableau
iii) How much morning, afternoon, and evening advertising time should Fanvis buy to maximize exposure of its commercials? Hence, state the maximum total people to be exposed.

Answer 1

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