The sea wharf restaurant would like to determine the best way to allocate a mont

Question

The sea wharf restaurant would like to determine the best way to allocate a monthly advertising budget of $10, 000 among newspaper, television, and radio advertising.(You may assume that each month they spend their entire advertising budget.) Management has decided that at least 25% of the budget must be spent on each type of media. Management also feels that the amount of money spent on local newspaper advertising must be at least twice the amount spent on radio advertising. A marketing consultant has developed an index that measured audience exposure per as on a scale from 0 to 100, with higher values implying greater audience exposure. The indices are 50 points per newspaper ad 80 points per radio ad 100 points per television ad The cost of placing each ad is: $250 for a newspaper ad $400 for a radio ad $600 for a television ad Develop a linear programming model which would show the management of the sea wharf restaurant the best way to advertise in order to maximize their audience exposure. Define your variables in English. Write out the mathematical formulation of your objective function. Write out all the constraints for this LP model.

Explanation / Answer

A. The two variables here are newspaper ads and radio ads.

At least of 25% of the budget must be spent on each type of media then the constraint will look like

x1 >=250, x2 >=250,

"The amount of money for newspaper ads must be at least twice the amount for radio ads."

x1>=2x2

The objective function will be50x1+80x2

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