a. sketch the Graph of y = 2* and y = G. Also describe the application of exponential and %3D logarithmic functions in Business. b. A manufacturer estimates that when q thousand units of a particular commodity are produced each month, the total cost will be C(q) = 0.4q? + 3q + 40 40 thousand dollars, and all q units can be sold at a price of p(q) = 22.2 – 1.2q dollars per unit. 1. Determine the level of production that results in maximum profit. What is the maximum profit? 2. At what level of production is the average cost per unit A(q) = ! C(a) minimized? 3. At what level of production is the average cost equal to the marginal cost C'(q)?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.7P
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a. sketch the Graph of y = 2* and y = G). Also describe the application of exponential and
3
logarithmic functions in Business.
b. A manufacturer estimates that when q thousand units of a particular commodity are
produced each month, the total cost will be C(q) = 0.4q? + 3q + 40 40 thousand dollars, and
all q units can be sold at a price of p(q) = 22.2 – 1.2q dollars per unit.
1. Determine the level of production that results in maximum profit. What is the
maximum profit?
2. At what level of production is the average cost per unit A(q) = !
C(a)
minimized?
3. At what level of production is the average cost equal to the marginal cost C'(q)?
Transcribed Image Text:a. sketch the Graph of y = 2* and y = G). Also describe the application of exponential and 3 logarithmic functions in Business. b. A manufacturer estimates that when q thousand units of a particular commodity are produced each month, the total cost will be C(q) = 0.4q? + 3q + 40 40 thousand dollars, and all q units can be sold at a price of p(q) = 22.2 – 1.2q dollars per unit. 1. Determine the level of production that results in maximum profit. What is the maximum profit? 2. At what level of production is the average cost per unit A(q) = ! C(a) minimized? 3. At what level of production is the average cost equal to the marginal cost C'(q)?
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