Formulate a linear programming model that can be used to determine
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Formulate a linear programming model that can be used to determine

2. Advertising Budget Allocation.

The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $1,000 between newspaper advertising and radio advertising. Management decided that at least 25% of the bud- get must be spent on each type of media and that the amount of money spent on local newspaper advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget to maximize the value of total audience exposure?

a. Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure.

b. Develop a spreadsheet model and solve the problem using Excel Solver.

Hint
Statistics"a. Decision Variables:Let x be the amount allocated to local newspaper advertising and y be the amount allocated to spot radio advertising.Objective Function:The objective is to maximize the total audience exposure. The audience exposure per dollar for local newspaper advertising is 50 and for spot radio advertising is 80. Thus, the total audience exposure can be calculated as:Maximize ...

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