A firm has a cost function of C = 1000 + 20Q + 1/10Q2a) Estimate the firm’s demand function. You may assume that the slope is a wholenumber, and the intercept is a multiple of 10. b) Find the firm’s revenue function. You do not need to draw it. c) Find the marginal revenue function, and draw it on a copy of the graph. d) Find and draw the marginal cost function.e) Use your results from parts (c) and (d) to find the profit-maximising level of output.(3 marks)f) Find the market price at this level of output.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.4P
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A firm has a cost function of C = 1000 + 20Q + 1
/10Q2
a) Estimate the firm’s demand function. You may assume that the slope is a whole
number, and the intercept is a multiple of 10. 
b) Find the firm’s revenue function. You do not need to draw it. 
c) Find the marginal revenue function, and draw it on a copy of the graph. 
d) Find and draw the marginal cost function.
e) Use your results from parts (c) and (d) to find the profit-maximising level of output.
(3 marks)
f) Find the market price at this level of output.

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