1) A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided estimates of the audience exposure for each minute of advertising in each medium, which it would like to maximize. Costs per minute of advertising are also known, and the manager has a limited budget of $25000. The manager has decided that because television ads have been found to be much more effective than radio ads, at least 75% of the time would be allocated to television. Suppose that we have the following data: Type of Ad Exposure/Minute Cost/Minute Radio 350 $400 TV 800 $2,000 a. Identify the decision variables, objective function, and constraints in simple verbal expressions. b. Mathematically formulate a linear optimization model.
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A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided estimates of the audience exposure for each minute of advertising in each medium, which it would like to maximize. Costs per minute of advertising are also known, and the manager has a limited budget of $25,000. The manager has decided that because television ads have been found to be much more effective than radio ads, at least 75% of the time should be allocated to television. Suppose that we have the following data: Type of Ad Exposure/Minute Cost/Minute Radio 350 $400 TV 800 $2,000 Identify the decision variables, objective function, and constraints in simple verbal expressions. Mathematically formulate a linear optimization model.
Rashmi S.
Madhur L.
A company has budgeted a maximum of $600,000 for advertising a certain product nationally. Each minute of television time costs $60,000, and each one-page newspaper ad costs $15,000. Each television ad is expected to be viewed by 15 million viewers, and each newspaper ad is expected to be seen by 3 million readers. The company's market research department advises the company to use at most 90% of the advertising budget on television ads. How should the advertising budget be allocated to maximize the total audience? Procedure: 1. Identify the requirements of the problem. 2. Create a first draft of the LP program by determining its objective function and constraints. 3. Open the Lindo Application. 4. Input the objective function and the given constraints in the problem in the worksheet and solve.
C D.
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