ECO 305 Lecture Notes - Lecture 8: Peanut Butter, Demand Curve, Marginal Cost

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26 May 2018
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1) Each of 1000 identical firms in a competitive peanut butter industry had s short-run
marginal cost curve given by SMC = 4 + Q. If the demand curve for this industry is
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ī¬µī¬“ī¬“ī¬“ what will be the short-run loss in producer and consumer surplus if an
outbreak of aflatoxin suddenly makes it impossible to produce any peanut butter?
Support your answer with a proper graph of the market supply and demand. (60 points)
MC = 4 + Q, Q = MC ā€“ 4 = ā€“ 4000, or Q = 1000MC ā€“ 4000. MC = P, so Q = 1000 P ā€“ 4000, P =
4 + 0.001Q. MC = P, 4 + 0.001Q = 10 ā€“ 0.002Q = 0.003Q = 6, Q = 2000 units, and P =
$6/unit. Consumer surplus = area of upper triangle = (10 ā€“ 6)(2000)/2 = $4000. Producer surplus
= area of lower triangle = (6 ā€“ 4)(2000)/2 = $2000. Total loss of surplus = $6000.
2) A Monopolist has a demand curve given by P=100 ā€“ Q and a total cost curve given by
TC=16 + 4Q2. The associated marginal cost curve given by MC= 8Q. (40 points)
a) Find the monopolistā€™s profit-maximizing quantity and price.
MC = 8Q, MR = 100 - 2Q P = 100 - Q
100 - 2Q = 8Q P = 100 - 10
Q= 10 P = 90
b) How much economics profit will the monopolist earn?
TC = 16 + 4(10)2 TR = 100 (10) ā€“ (10)2
TC = 416 TR = 900
EP = TR ā€“ TC = 900 ā€“ 416 = 484
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Document Summary

Each of 1000 identical firms in a competitive peanut butter industry had s short-run marginal cost curve given by smc = 4 + q. If the demand curve for this industry is. Support your answer with a proper graph of the market supply and demand. (60 points) Mc = 4 + q, q = mc 4 = 4000, or q = 1000mc 4000. Mc = p, so q = 1000 p 4000, p = Mc = p, 4 + 0. 001q = 10 0. 002q = 0. 003q = 6, q = 2000 units, and p = Consumer surplus = area of upper triangle = (10 6)(2000)/2 = . = area of lower triangle = (6 4)(2000)/2 = . Total loss of surplus = : a monopolist has a demand curve given by p=100 q and a total cost curve given by. The associated marginal cost curve given by mc= 8q. (40 points: find the monopolist"s profit-maximizing quantity and price.

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