3) (33 points) Formulate the following mathematical program (do not solve). Grab

Question

3) (33 points) Formulate the following mathematical program (do not solve). Grabiec Keno Enterprises (GkE) ls trying to determine the best advertising schedule. GKE has the three goals for its advertising campaign following a. Advertisements should be seen by at least 40 million high income men (HM) b. Advertisements should be seen by at least 60 milion low income people (LP) c. Advertisements should be seen by at least 35 million high income women (HW) GKE can purchase two types of advertisements: 1) during football games and 2) during reality shows. At most $600,000 can be spent on advertising. The costs (per minute) and potential audiences are shown below. Football Reality HM 7 million 3 million 5 million 4 million $60,000 Cost $100,000 10 million 5million Assume goal b is twice as important as gool a and goal c

Explanation / Answer

Advertisements seen by high income men (HM) 40 Million = HM 40 Million

Advertisements seen by Low income people (LP) 60 Million = LP 60 Million

Advertisements seen by High income Women (HW) 35 Million = HW 35 Million

Money Spent on Advertising (At-most) 600,000

Formulations:

7(HM) + 10 (LP) + 5(HW) = $100,000

3(HM) + 5 (LP) + 4 (HW) = $60,000

LP 2HM

LP 2HW

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