1. Let C(x) = ax² + 2bxr + = for positive constants a, b, c, be the cost of producing z items. (i) Determine the marginal cost dC and the average cost T(x) = C(x) dr (ii) Determine the rate of change of average cost dr For what values of r is < 0 for r in terms of a,b,c. dr average cost decreasing? That is solve (iii) Determine the values of r for which average cost is greater than marginal cost. That is solve C(x) > dC for r in terms of a, b, c. dr

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Course: MA X
Math81_F21 X
8. Some Ser X
poq016 381 X
Yuzu: Biops X
w Trade Prote X b My Questio X
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4. Let C'(x)
c2
for positive constants a, b, c, be the cost of producing
ал? + 2bx +
a
x items.
dC
C(x)
(i) Determine the marginal cost
and the average cost C(x)
dx
dC
(ii) Determine the rate of change of average cost
For what values of x is
dC
< 0 for x in terms of a, b, c.
dx
average cost decreasing? That is solve
(iii) Determine the values of for which average cost is greater than marginal cost.
dC
for x in terms of a, b, c.
dx
That is solve C(x) >
C(x)
d²C
-?
dx?
(iv)
What is the expression for
dx?
8:23 AM
e Type here to search
W
60°F
10/5/2021
Transcribed Image Text:Course: MA X Math81_F21 X 8. Some Ser X poq016 381 X Yuzu: Biops X w Trade Prote X b My Questio X how to take X + Hill coursesite.lehigh.edu/pluginfile.php/5353912/mod_resource/content/10/Math81_F21_HW5_due-10_05_21.pdf : Apps LinkedIn LU Overdrive LUSP * LUBase Courses Nuero Calc Mc Graw Hill Edacation FOB LConnect ii Handshake E Reading list Math81_F21_HW5_due-10_05_21.pdf 2 / 2 100% + | - 4. Let C'(x) c2 for positive constants a, b, c, be the cost of producing ал? + 2bx + a x items. dC C(x) (i) Determine the marginal cost and the average cost C(x) dx dC (ii) Determine the rate of change of average cost For what values of x is dC < 0 for x in terms of a, b, c. dx average cost decreasing? That is solve (iii) Determine the values of for which average cost is greater than marginal cost. dC for x in terms of a, b, c. dx That is solve C(x) > C(x) d²C -? dx? (iv) What is the expression for dx? 8:23 AM e Type here to search W 60°F 10/5/2021
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