In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target

Q. In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target?

(A) 400(B) 1200(C) 1600(D) 2800

Ans: 1600

Sol:

Loss =kd2 For duration of 7 units

4900=k(7)2 ⇒k=100

Loss =kd2 For duration of 4 units

=k(4)2 ⇒16k=1600

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