Page 3 Question 4 (a) Find the following: x/3 + 9x/5 (2x- 1)1/2- 3 i. Lim X0 6x/2- 4x1/4 ii. Lim X-5+ (b) The total revenue curve of a firm is R(q) = 40q -12q and its %3D average cost A(q) = 9? – 12.85q + 20 + 30 400 where q is the firm's output. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit? i.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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can you  answer part iv and v?

Page 3
Question 4
(a) Find the following:
x/3 + 9x/5
(2x- 1)1/2- 3
i. Lim
X0 6x/2- 4x1/4
ii. Lim
X-5+
(b) The total revenue curve of a firm is R(q) = 40q -12q and its
%3D
average cost A(q) = 9? – 12.85q + 20 +
30
400
where q is the firm's output.
Derive an expression C(q) for the firm's total cost function.
ii. Derive an expression II(q) for the firm's profit function.
iii. Is the rate of change of profit increasing or decreasing when the
ouput level of the firm is 10 units?
iv. Determine the level of output for which the firm's profit is maximized.
v. What is the firms's maximum profit?
i.
Transcribed Image Text:Page 3 Question 4 (a) Find the following: x/3 + 9x/5 (2x- 1)1/2- 3 i. Lim X0 6x/2- 4x1/4 ii. Lim X-5+ (b) The total revenue curve of a firm is R(q) = 40q -12q and its %3D average cost A(q) = 9? – 12.85q + 20 + 30 400 where q is the firm's output. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit? i.
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