(monopoly)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.9P
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I need your help for the parts E and F. Please show the work. I am also attaching the answers of part D which may help to solve E AND F PARTS. 

Thanks!

E quatien O »
firot sapanss functHon - Dae to
Symmurir cot stuuctwré
%3D
: 2173-91 -0•04359,
And firem's Herpenss is 2
9, = %
in equation O
= 8173.913 - 0•043591
1.04 3591
217391
ニ
part D solution
う &
ス/73-91
/•0435
% - % -
20 83· 333
P= 2000
(2083.33 t 2083-33
25
pa 1883:33
Ci4Hd JI, -T, :
L1833-33X 2o 83-33
1649906
Hence , market price= 183 33
Out par ay
()Pnfit for each farm = 1 649506
cach farm
2083 33
%3D
/649306
Transcribed Image Text:E quatien O » firot sapanss functHon - Dae to Symmurir cot stuuctwré %3D : 2173-91 -0•04359, And firem's Herpenss is 2 9, = % in equation O = 8173.913 - 0•043591 1.04 3591 217391 ニ part D solution う & ス/73-91 /•0435 % - % - 20 83· 333 P= 2000 (2083.33 t 2083-33 25 pa 1883:33 Ci4Hd JI, -T, : L1833-33X 2o 83-33 1649906 Hence , market price= 183 33 Out par ay ()Pnfit for each farm = 1 649506 cach farm 2083 33 %3D /649306
Question 1:
Consider a production function with two inputs, capital (k) and labor (1), given by
f(k,1) = kP + Lº
where p < 1,p # 0. Price per unit of each input is given by r for capital and w for labor.
a. Compute the total cost function C(r,w,q)
b. Now suppose p = Rewrite the total cost function C(r,w, q) for this case.
Suppose inverse demand for output is given by p = 2000 -;
25
Consider the following different industry structures, but each firm in the industry has the same
cost curve as in part (b) above.
c. Suppose there is only one firm in the industry (monopoly). Find the profit-maximizing
output, price, and profit.
d. Suppose there are two firms in the industry (duopoly) competing as Cournot
oligopolists. Find the profit-maximizing output, price, and profit for each firm.
e. Suppose there are four firms in the industry competing as Cournot oligopolists. Find the
profit-maximizing output, price, and profit for each firm.
f. Compare industry price and total industry profit in each of the above three cases.
Transcribed Image Text:Question 1: Consider a production function with two inputs, capital (k) and labor (1), given by f(k,1) = kP + Lº where p < 1,p # 0. Price per unit of each input is given by r for capital and w for labor. a. Compute the total cost function C(r,w,q) b. Now suppose p = Rewrite the total cost function C(r,w, q) for this case. Suppose inverse demand for output is given by p = 2000 -; 25 Consider the following different industry structures, but each firm in the industry has the same cost curve as in part (b) above. c. Suppose there is only one firm in the industry (monopoly). Find the profit-maximizing output, price, and profit. d. Suppose there are two firms in the industry (duopoly) competing as Cournot oligopolists. Find the profit-maximizing output, price, and profit for each firm. e. Suppose there are four firms in the industry competing as Cournot oligopolists. Find the profit-maximizing output, price, and profit for each firm. f. Compare industry price and total industry profit in each of the above three cases.
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