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Business, 24.03.2020 01:37 xoxokaydavis5837

SMM Company recently developed a new instant salad machine, has $282,000 to spend on advertising. The product is to be initially test marketed in the Dallas area. The money is to be spent on a TV advertising blitz during one weekend (Friday, Saturday, and Sunday) in November.

Estimated Audience
Ad Type Reached With Each Ad Cost per Ad
Daytime 3,000 $5,000
Evening News 4,000 $7,000
Sunday Game 75,000 $100,000

SMM wants to take out at least one ad of each type (daytime, evening-news, and game-time). Further, there are only two game-time ad spots available. There are ten daytime spots and six evening news spots available daily. SMM wants to have at least 5 ads per day, but spend no more than $50,000 on Friday and no more than $75,000 on Saturday.

Considering the above limitations, write a linear programming formulation to help SMM determine the number for each ad type on the weekend so as to maximize the total audience reached.

1. Define the decision variables

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