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Industrial Engineering Miscellaneous

Industrial Engineering

  1. Two models, P and Q of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the member of units of P to be produced is_____.
    1. 15
    2. 14
    3. 16
    4. 17
Correct Option: A

z = 100P + 80Q
5P + 3Q ≤ 150
P + Q = 40

z at (0, 0) = 0
z at (0,40) = 3200
z at (15, 25) = 3500
z at (30, 0) = 300
zmax = 3500
∴ P=15



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