A factory produces two products P, and P2. Each of the product P, requires 2 hrs for
moulding, 3 hrs for grinding and 4 hrs for polishing, and each of the product P2 requires 4 hrs for
moulding, 2 hrs for grinding and 2 hrs for polishing. The factory has moulding machine available for
20 hrs, grinding machine for 24 hrs and polishing machine available for 13 hrs. The profit is 75 per unit of
P1 and 3 per unit of P2 and the factory can sell all that it produces. Formulate the problem as a linear
programing problem to maximize the profit and find the number of units of each product.
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