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).

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

 

 

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







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