1. Modelling. SETUP BUT DO NOT SOLVE the following linear programming problem. As part of a campaign to promote its annual clearance sale, Excelsior Com- pany decided to buy television advertising time on Station KAOS. Excelsior's television advertising budget is AED 100,000. Morning time costs AED 3,000 per minute, afternoon time costs AED 1,000 per minute, and evening (prime) time costs AED 12000 per minute. Because of previous commitments, KAOS cannot offer Excelsior 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. KAOS estimates that morning commercials are seen by 200,000 people, afternoon commercials are seen by 100,000 people and evening commer- cials are seen by 600,000 people. How much morning, afternoon, and evening advertising time should Excelsior buy to maximize exposure of its commercials? A complete answer to this problem must include (a) clearly defined variables, 5 marks (b) a clearly labeled objective function, and 5 marks (c) all necessary constraints. 5 marks