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Q. ABC Corp. produces both interior also exterior paints from two raw materials, M1 also M2. The subsequent table provides the basic data:
Tons of raw material per ton of Maximum daily availability (tons)Exterior paint Interior paint Raw material, M1 6 4 36Raw material, M2 1 2 12Profit per ton ($1,000) 8 6
A market survey indicates that the daily demand for interior paint cannot exceed that of exterior paint by more than 2 tons. Also, the maximum daily demand of interior paint is 4 tons. ABC Corp. wants to find out the optimal product mix of interior also exterior paints that maximizes the total daily profit.
a) Formulate the linear programming model for this problem.
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