Give the production function: Q(K,L) = L + K2 a. Find the total cost function (TC) if w = $2 (wage price) and r = $20 (capital price). b. If the market function of demand is q = 45 - 3p/2, what price will you charge if the firm acts as a monopolist?  Find also the optimal quantity of output, surplus, and profit. c. If it is a perfectly competitive firm, how much will it produce and at what price? Find the surplus and the loss due to economic inefficiency generated by the monopoly. d. Represent graphically situations b. and c.

Economics For Today
10th Edition
ISBN:9781337613040
Author:Tucker
Publisher:Tucker
Chapter9: Monopoly
Section: Chapter Questions
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Give the production function: Q(K,L) = L + K2
a. Find the total cost function (TC) if w = $2 (wage price) and r = $20 (capital price).
b. If the market function of demand is q = 45 - 3p/2, what price will you charge if the firm acts as a monopolist?  Find also the optimal quantity of output, surplus, and profit.
c. If it is a perfectly competitive firm, how much will it produce and at what price? Find the surplus and the loss due to economic inefficiency generated by the monopoly.
d. Represent graphically situations b. and c.

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Why Marginal Cost (MC) is 1??  I did my calcutation and is 2.

I replace on fucntion Q = L + (5)2 = L + 25, so L = Q - 25 and put on TC = 2(Q - 25) + 20(5)

So TC = 2Q - 50 + 100 = 2Q + 50, then MC = dTC / dQ = 2

You may be replaced TC = wL + rK, but this function no contains Q variable

Please confirm that. Thanks

 

 

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