Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = – 4.25x2 + 1500x – 5000 - gives the profit when they build and sell x cabinet units. Find a) the profit when 65 units are sold dollars b) the average profit per unit as a function of x dollars per unit c) the rate that profit is changing when exactly 65 units are sold dollars per unit d) the number of units that must be sold in order to maximize profit. Round to the nearest whole number if necessary: units e) the maximum profit possible (using your whole number answer from part d) units

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question
Charles 'n Marge sell custom-build cabinet units for motor
homes. The function P(x) = – 4.25x? + 1500x – 5000
gives the profit when they build and sell x cabinet units.
Find
a) the profit when 65 units are sold
dollars
b) the average profit per unit as a function of x
dollars per unit
c) the rate that profit is changing when exactly 65 units
are sold
dollars per unit
d) the number of units that must be sold in order to
maximize profit. Round to the nearest whole number if
necessary:
units
e) the maximum profit possible (using your whole number
answer from part d)
units
Transcribed Image Text:Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = – 4.25x? + 1500x – 5000 gives the profit when they build and sell x cabinet units. Find a) the profit when 65 units are sold dollars b) the average profit per unit as a function of x dollars per unit c) the rate that profit is changing when exactly 65 units are sold dollars per unit d) the number of units that must be sold in order to maximize profit. Round to the nearest whole number if necessary: units e) the maximum profit possible (using your whole number answer from part d) units
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning