Problem 1 (20 Points). JJK wants to advertise a new product in 2 types of magazi

Question

Problem 1 (20 Points). JJK wants to advertise a new product in 2 types of magazines. They are considering ads in 4 magazines. JJK wants to reach at least a total audience of 55 MagazineCost Ad Million for the campaign, with at least an audience of 20 Million from the Outdoors/Camping type of magazines. ESPN must Audience IAd Type SI ESPN Adventure Life 13K 23K 18K 7K 8.2 MillionSports 4.5 Million 28 Miion utdoors 1.5 Million- have at least 20% of the total Ads. Develop a formulation that determines the number of ads per magazine for the campaign which minimizes total cost.

Explanation / Answer

Let x1, x2, x3, x4 be the number of ads in magazine SI, espn, adventure, life respectively.

To minimize, 13x1 + 23x2 + 18x3 + 7x4

Subject to constraints,

8.2x1 + 4.5x2 + 2.8x3 + 1.5x4> 55

2.8x3 + 1.5x4> 20

x3> 0.2(x1 + x2 + x3 + x4)

x1> 0, x2> 0, x3> 0, x4> 0

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