Find the optimum product mix by using the simplex method

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Reference no: EM133338878

Question:

(a) Use the simplex method technique to Maximize 1 2 3 3 5 4x x xΖ = + + Subject to 1 2 2 3 8x x+ ≤ 2 3 2 5 10x x+ ≤ 1 2 3 3 2 4 15x x x+ + ≤ 1 2 3 , , 0x x x ≥

(b) Two grades of paper X and Y are produced on a paper machine. Because of raw materials restrictions, not more than 400 tonnes of grade X and 300 tonnes of grade Y can be produced in a week. There are 160 production hours in a week. It requires 0.2 and 0.4 hour to produce one tonne of products X and Y respectively with corresponding profits of K20 and K50 per tonne

i. Formulate the problem as a linear programming problem

ii. Find the optimum product mix by using the simplex method

Reference no: EM133338878

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