The cost, in dollars, of producing x yards of a certain fabric isC(x) = 900 + 12x - 0.1x² +0.0005x³and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric.(a) Graph the cost and revenue functions.y8000600040002000y15 00010 0005000RC100R=²C100200200300300X400400XUse the graph to estimate the production level for maximum profit.283.092x yardsy15 00010 0005000y15 00010 0005000R100RC100200200(b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.)186.63yards300300400400X

Cost: Cost refers to the expenses or expenditures incurred by a business or individual to produce…

The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x-0.1x² + 0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27 -0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 =R 100 200 200 300 300 400 400 Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 =R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X X

The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x-0.1x² + 0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27 -0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 =R 100 200 200 300 300 400 400 Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 =R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 X X

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

The cost, in dollars, of producing x yards of a certain fabric is
C(x) = 900 + 12x - 0.1x² +0.0005x³
and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric.
(a) Graph the cost and revenue functions.
y
8000
6000
4000
2000
y
15 000
10 000
5000
R
C
100
R
=²
C
100
200
200
300
300
X
400
400
X
Use the graph to estimate the production level for maximum profit.
283.092
x yards
y
15 000
10 000
5000
y
15 000
10 000
5000
R
100
R
C
100
200
200
(b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.)
186.63
yards
300
300
400
400
X

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