The Marketing Department of Everest Company has collected information on the problem of advertising for its products. This relates to the advertising media available, the number of families expected to be reached with each alternative, cost per advertisement, the maximum availability of each medium and the expected exposure of each one (measured as the relative value of one advertisement in each of the media):

The information is as given here:

Other information and requirements:

(a) The advertising budget is Rs 70,000.

(b) At least 40,000 families should be covered. (The families receiving messages could be common. But a family receiving three messages, for example, would be taken to be equivalent to three.)

(c) At least 2 insertions be given in Sunday edition of a daily but not more than 4 ads should be given on the TV.
Draft this as a linear programming problem. The company's objective is to maximise the expected exposure.
Let

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Maximum Expected Advertising Media No. of Families Expected to Cover Cost per Ad (Rs) Availability (No. of times) Exposure (Units) TV (30 sec) 3,000 8,000 8 Radio (15 sec) 7,000 3,000 30 Sunday edition of a daily (1/4 page) 5,000 4,000 4 Magazine (1 page) 2,000 3,000 2 888 80 20 50 60