The XYZ eatery would like to establish the optimal way to allocate a monthly marketing budget at the most Rs. 10310 between TV and radio advertising. Management decided that at least 25% of the budget must be expended on each type of media. It required 1 unit of the amount of capital spent on local TV advertising and (-2) units of the amount spent on radio advertising with at the most a spent of 10% of monthly marketing budget. A marketing consultant developed an index that measures audience coverage per rupees of advertising on a scale of 0 to 100, with higher values implying greater audience coverage. If the value of the index for local TV advertising is 50 and the value of the index for spot radio advertising is 80, how would the eatery allocate its advertising cost in order to maximize the value of total audience coverage?

Formulate a linear programming model that can be used to determine how the eatery should allocate its advertising capital to maximize the value of total audience coverage. Solve it to get the optimum capital allocation to maximize the total audience coverage. Use graphical method