Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are given by C=70,000+30x,  R=200x−x220, P=R−C  where the production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 5,000 calculators. Find the rate of increase​ (decrease) in​ cost, revenue, and profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are given by
C=70,000+30x,  R=200x−x220, P=R−C 
where the production output in 1 week is x calculators. If production is increasing at a rate of
600
calculators per week when production output is
5,000
calculators. Find the rate of increase​ (decrease) in​ cost, revenue, and profit.
 
 
 

Question content area bottom

Part 1
​A) Costs are
 
increasing
decreasing
at the rate of
​$
per week at this production level.
​(Simplify your​ answer.)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,