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1. a) Write any five uses and limitations of operations research.
b) A resourceful home decorator manufactures two types of lamps say A and B.
Both the lamps go through two technicians, first a cutter, second a finisher.
Lamp A requires 2 hours of the cutter's time and 1 hour of the finisher's time.
Lamp B requires 1 hour of cutter's and 2 hours of finisher's time the cutter
has 104 hours and finisher 76 hours of available time each month. Profit on
the Lamp A is Rs. 6 and the Lamp B is Rs. 11. Assuming that he can sale all
that he produces, how many of each type lamps should be manufactured to
obtain
the best return? Solve graphical method to get maximum profit.
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loen 12
2. a) Solve the following LPP using simplex method.
Maximize z = x, + x2 + 3x3
Subject to, 3x, + 2xy + x3 s 2,
2x, + x2 + 2x, s 2,
X, X, X = 0
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limitations of operations research
Costly : Operations Research (OR) is very costly. This is because OR makes mathematical models for taking decisions and solving problems. The company has to make various models for solving different problems. All this increments the cost.
Not Realistic : OR experts make very complex models for solving problems. These models may not be realistic. Hence, they may not be useful for real-life situations.
Complex : OR is very complex concept. It is very difficult for an average manager to understand it. Therefore, most managers do not use OR techniques
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