Department store plans to schedule annual advertising

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A department store plans to schedule its annual advertising. The total budget is set at $200,000. The store can purchase local radio spots at $100 per spot, local television spots at $500 per spot and local newspaper advertising at $200 per ad. The payoff from each advertising medium is a function of its audience size and audience characteristics. The generally accepted objective criterion for advertising is audience points, reflected in the following table:

Medium                            Points

Radio                        30 per spot

Television              150 per spot

Newspaper             150 per ad

The president of the firm has established the following goals for the campaign:

1. The total budget should not exceed $200,000.

2. Meet the contract with the local television station that requires that the firm spend at least $30,000.

3. The corporate advertising policy prohibits annual newspaper ad expenditures in excess of $50,000.

4. Maximize the audience points for the advertising campaign. The president would like 1,000,000 audience points

The president has established unit weights on the goals of 10, 6, 3 and 1 for the goals 1 through 4, respectively.

Formulate a goal program to solve this problem. Include an objective function and all constraints.

Reference no: EM132239060

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