Answer:
- 175 radio ads
- 10 television ads
- 595,000 people
Step-by-step explanation:
Radio ads reach 3000/200 = 15 people per dollar.
Television ads reach 7000/500 = 14 people per dollar.
Except for the constraints on the number of TV ads, the best value for the advertising dollar comes from radio ads.
So, we must satisfy the constraint that 10 TV ads are the minimum. Then the remaining 35,000 in advertising budget can be spent on 175 radio ads. The number of people reached by this advertising will be ...
175·3000 +10·7000 = 595,000 . . . people
10 TV ads and 175 radio ads should be used. This campaign will reach 595,000 people.
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This graph is drawn so the feasible region is white. Areas outside the feasible region are shaded. (This approach can make identifying the feasible region easier.) The object is to get the objective function line as far from the origin as possible. The feasible region vertex (175, 10) does that.
