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An advertising campaign for a new product will be conducted in a metropolitan area and can use TV, radio, magazines, and internet advertisements. Information about each medium is shown below. Medium Cost per Ad Number of Customers Reached
TV $5550 38000
Radio $3250 18000
Magazines $3300 17600
Internet $2275 10500
The total number of magazines and radio advertisements cannot be more than 12. The number of internet advertisements should be at least as many as the number of advertisements on TV. There must be at least a total of 50 advertisements in all four media. The advertising budget is $180,000.The objective is to maximize the total number of customers reached.
Formulate a linear optimization model for this marketing problem.
(a) Define the decision variables.
(b) Determine the objective function. What does it represent?
(c) Determine all the constraints. Briefly describe what each constraint represents.
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