Development of lp problems, Operation Research

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).


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



Posted Date: 7/4/2012 3:13:36 AM | Location : United States

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