The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $ 1000 between newspaper advertising and...

The Sea Wharf Restaurant would like to determine the best way to allocate a monthlyadvertising budget of $ 1000 between newspaper advertising and radio advertising.Management decided that at least 25% of the budget must be spent on each type of media,and that the amount of money spent on local newspaper advertising must be at least twicethe amount spent on radio advertising. A marketing consultant developed an index thatmeasures audience exposure per dollar of advertising on a scale from 0 to 100, with highervalues implying greater audience exposure. If the value of the index for local newspaperadvertising is 50 and the value of the index for spot radio advertising is 80, how should therestaurant allocate its advertising budget in order to maximize the value of total audienceexposure?a. Formulate a linear programming model that can be used to determine how therestaurant should allocate its advertising budget in order to maximize the value of totalaudience exposure.b. Solve the problem using the graphical solution procedure.