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.