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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_____.
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- 15
- 14
- 16
- 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