A manufacturer incurs the following costs in producing x water ski vests in one day, for 0

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter2: Solving Linear Equations
Section2.5: Solve Linear Inequalities
Problem 2.118TI: Elliot has a landscape maintenance business. His monthly expenses are $1,100. If he charges $60 per...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x< 175: fixed costs, $500; unit production cost, $25 per vest; equipment maintenance and repairs, 0.05x dollars. So, the cost of
manufacturing x vests in one given day is given by C(x) = 0.05x
+ 25x + 500, where 0<x< 175.
(A)
(B)
What is the average cost C(x) per vest if x vests are produced in one day?
Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph.
Transcribed Image Text:A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x< 175: fixed costs, $500; unit production cost, $25 per vest; equipment maintenance and repairs, 0.05x dollars. So, the cost of manufacturing x vests in one given day is given by C(x) = 0.05x + 25x + 500, where 0<x< 175. (A) (B) What is the average cost C(x) per vest if x vests are produced in one day? Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage