Reference no: EM132239060
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.