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A company manufactures 2 kinds of hats. Each hat of the I type needs twice as much as labour time as the II type. The company can manufacture a sum of 500 hats a day. The market restricts daily sales of I and II types to 150 and 250 hats. Supposing that the gain per hat is Rs.8 for type A and Rs. 5 for type B. Develop LPP models so as to find out the number of hats to be manufactured of each type so as to maximize the gain (profit).
Answer
Assume x1 - number of hats produced by type A
Assume x2 - number of hats produced by type B
Maximize Z = 8x1 + 5x2
Subject to
2x1 + x2 ≤ 500 (labour time)
x1 ≤ 150
x2 ≤ 250
x1≥0, x2 ≥0
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