An advertising campaign for a new product will be conducted in Baltimore 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 $4550 40000
Radio $2860 17500
Magazines $3910 18800
Internet $1875 10000
The total number of magazines advertisements and the number of radio advertisements cannot be more than 15. 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 60 advertisements in all four media. The advertising budget is $200,000.The objective is to maximize the total number of customers reached.
(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.