An advertising campaign for a new product will be conducted in a metropolitan area and can use TV, radio, newspaper, and internet advertisements. Information about each medium is shown below. Medium Cost per Ad Number of Customers Reached
TV $6050 40500 Radio $3200 16400
Newspaper $1800 13500
Internet $2200 15500
The total number of TV and radio advertisements cannot be more than 10. The number of internet advertisements should be at least as many as the number of advertisements in newspaper. There must be at least a total of 40 advertisements in all four media. The advertising budget is $155,000. 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. Note: Do NOT solve the problem after formulating.