Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x^3+0.07x^2+15x+600, and currently 90 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=90? c) Use the result from part (b) to estimate the monthly cost of increasing production to 92chairs per month. d) What would be the actual additional monthly cost of increasing production to 92chairs monthly?
Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x^3+0.07x^2+15x+600, and currently 90 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=90? c) Use the result from part (b) to estimate the monthly cost of increasing production to 92chairs per month. d) What would be the actual additional monthly cost of increasing production to 92chairs monthly?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Question
Suppose that the monthly cost, in dollars, of producing x chairs is
C(x)=0.002x^3+0.07x^2+15x+600, and currently 90 chairs are produced monthly.
a)
|
What is the current monthly cost?
|
b)
|
What is the marginal cost when
x=90?
|
c)
|
Use the result from part (b) to estimate the monthly cost of increasing production to 92chairs per month. |
d)
|
What would be the actual additional monthly cost of increasing production to 92chairs monthly? |
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