2. A firm has a cost function of C = 1000+20Q + 1/10Q2 and has a demand function as shown in the graph below: 100 90 80 70 70 60 60 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 Quantity (Q) -P (demand) 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. (1 mark) b) Find the firm's revenue function. You do not need to draw it. (2 marks) c) Find the marginal revenue function, and draw it on a copy of the graph. (3 marks) d) Find and draw the marginal cost function. (3 marks) 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. (2 marks)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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2. A firm has a cost function of C = 1000+20Q + 1/10Q2 and has a demand function as
shown in the graph below:
100
90
80
70
70
60
60
50
40
30
20
10
0
10 20
30
40 50
60 70
80
90
100
Quantity (Q)
-P (demand)
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. (1 mark)
b) Find the firm's revenue function. You do not need to draw it. (2 marks)
c) Find the marginal revenue function, and draw it on a copy of the graph. (3 marks)
d) Find and draw the marginal cost function. (3 marks)
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. (2 marks)
Transcribed Image Text:2. A firm has a cost function of C = 1000+20Q + 1/10Q2 and has a demand function as shown in the graph below: 100 90 80 70 70 60 60 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 Quantity (Q) -P (demand) 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. (1 mark) b) Find the firm's revenue function. You do not need to draw it. (2 marks) c) Find the marginal revenue function, and draw it on a copy of the graph. (3 marks) d) Find and draw the marginal cost function. (3 marks) 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. (2 marks)
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