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An advertising agency whishes to reach two types of audiences: customers with annual income greater than one lakh rupees (target audience A) and customers with annual income of less than one lakh rupees (target audience B). The total advertising budget is ` 2,00,000. One programme of TV advertising costs ` 50,000; one programme of radio advertising costs ` 20,000. For contract reasons, at least three programmes should to be on TV and the number of radio programmes must be limited to 5. Surveys indicate that a single TV programme reaches 4,50,000 propective customers in target audience A and 50,000 in target audience B. One radio programme reaches 20,000 prospective customers in target audience A and 80,000 in target audience B. Formulate it as a LPP and solve it graphically to maximize the total reach for the programmes
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