A corporation has two products: X1 and X2. The profit contribution of X1 is P 50 perunit and the profit contribution of X2 is P 25 per unit. The company has threemachines that are available for 20, 24, and 18 hours respectively. Product X1 needs1 hour in machine 1, 3 hours in mahine 2, and 3 hours in machine 3. Product X2needs 2, 2, and 1 hour in machines 1 – 3 respectively. The company can sell all itcan produce. Find the number of units of X1 and X2 to produce to maximize theprofit contribution. .

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TrixieSenygo TrixieSenygo · Answer 1

Universal Corporation manufactures two products- P1 and P2. The profit per unit of the two products is Rs. 50 and Rs 60 respectively.

Both the products require processing in three machines.

The following table indicates the available machine hours per week and the time required on each machine for one unit of P1 and P2.

Formulate this product mix problem in the linear programming form.

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Let x1 and x2 be the amounts manufactured of products P1 and P2 respectively.

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