Producing chemical product has two alternative methods

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A plan for producing a chemical product has two alternative methods. To produce the products Q1 and Q2, raw materials R1 and R2 must be mixed. In the first alternative, 7 tons of R1 and 5 tons of R2 are mixed to produce 2 tons of Q1 and 6 tons of Q2 in a single day. The second alternative mixes 5 tons of R1 and 8 tons of R2 to produce 5 tons of Q1 and 4 tons of Q2 in one day. Available amounts of R1 and R2 are 350 and 400 tons, respectively. The minimum demand for Q1 and Q2 is 100 and 120 tons, respectively. The net daily profit of first alternative is $3000 and $4000 for the second. Using linear programming, design a model that maximizes the total profit.

Reference no: EM131027804

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