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1. The number of people reached should be at least 1,500,000.
2. The total monthly advertising budget should not be exceeded.
3. Together, the number of ads on either TV or radio should be at least 6.
4. No more than 10 ads of any one type of advertising should be used.

(a) Formulate this as a goal programming problem.
(b) Solve this using computer software.
(c) Which goals are completely met and which of them are not?

#### Solution Preview

Let T = number of TV ads, R = number of newspaper ads, B = number of billboard ads, and N = number of newspaper ads.

Minimize P1d1- + P2d2+ + P3d3- + P4d4+ + P4d5+ + P4d6+ + P4d7+

Subject to:

(1) ...

#### Solution Summary

This solution provides advice to the campaign manager to set up an advertising campaign by using the number of people reached, budget, number or TV or radio ads and the restriction on number of each individual types of ads. It also evaluates the goal programming problem and looks at which goals are met and which are not.

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