Question

An ad campaign for a trip to Norway will be conducted in a limited geographical area...

An ad campaign for a trip to Norway will be conducted in a limited geographical area and can use TV ads, radio ads, magazines ads, and newspaper ads. Information about each medium is shown below.

                                                         

Medium

Cost Per Ad

Number of People Reached

TV

12,500

42000

Radio

2000

8300

Magazine

950

3400

Newspaper

2000

8500

The number of TV ads cannot be more than 3. The total number of Radio and Newspaper ads must be more than the total number of TV ads. There must be at least a total of 10 ads in all four media. The advertising budget is $50,000. The objective is to maximize the total number of people reached.

Formulate a linear programming model for the above situation by determining

(a) 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.

Math   Statistics-And-Probability   
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Answer #1

In this problem we explained the terminology of Linear programming model.

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