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What calculation gets you to 1/2(Q^3) part of the equation? Monopolist inverse demand curve, P = 90- (3Q/2) The cost function, TC(Q) = 400Q +

What calculation gets you to 1/2(Q^3) part of the equation?

Monopolist inverse demand curve, P = 90- (3Q/2)

The cost function, TC(Q) = 400Q + [(Q^3)/2]

The marginal cost, MC =dTC/dQ

Step 1

TC(Q) = 400Q + [(Q^3)/2] , this is same as:

Step 2

TC(Q) = 400Q + 1/2(Q^3)

Step 3

MC=dTC/dQ=400+3/2Q^(3-1)

=400+3/2Q^2

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