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suppose a firms benefit and cost structure is given by the following respectivel

ID: 1168478 • Letter: S

Question

suppose a firms benefit and cost structure is given by the following respectively B(q) = 400Q-5Q^2 C(q) = 3Q^2 what is the output level at which net benefits are maximized? suppose a firms benefit and cost structure is given by the following respectively B(q) = 400Q-5Q^2 C(q) = 3Q^2 what is the output level at which net benefits are maximized? suppose a firms benefit and cost structure is given by the following respectively B(q) = 400Q-5Q^2 C(q) = 3Q^2 what is the output level at which net benefits are maximized?

Explanation / Answer

Net benefit = Benfit - Cost

Net Benefit = 400Q-5Q2 -3Q2

Net benefit = 400Q-8Q2

The point of maximum beenfit would be where the differentiation of net benefit is equal to zero.

d(net benefit) / d Q = 400-16Q

400-16Q = 0

400=16Q

Q = 400/16

Q= 25

AT 25 units nete benfit is maximized