Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. R(x, y) = -0.25x² – 0.2y? - 0.2xy + 200x + 150y The total weekly cost attributable to the manufacture of these desks is given by the following equation, where C(x, y) is in dollars. C(x, y) = 110x + 50y + 4800 Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. finished units unfinished units What is the maximum profit realizable?

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
Topic Video
Question

Maximizing Profit

 The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week.
R(x, y) = −0.25x2 − 0.2y2 − 0.2xy + 200x + 150y
The total weekly cost attributable to the manufacture of these desks is given by the following equation, where C(xy) is in dollars.
C(x, y) = 110x + 50y + 4800
Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit.
finished unitsunfinished units
What is the maximum profit realizable?
Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the
number of finished units and y denotes the number of unfinished units manufactured and sold each week.
R(x, y) = -0.25x² – 0.2y2 – 0.2xy + 200x + 150y
The total weekly cost attributable to the manufacture of these desks is given by the following equation, where C(x, y) is in dollars.
C(x, y) = 110x + 50y + 4800
Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit.
finished
units
unfinished
units
What is the maximum profit realizable?
$
Transcribed Image Text:Maximizing Profit The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. R(x, y) = -0.25x² – 0.2y2 – 0.2xy + 200x + 150y The total weekly cost attributable to the manufacture of these desks is given by the following equation, where C(x, y) is in dollars. C(x, y) = 110x + 50y + 4800 Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. finished units unfinished units What is the maximum profit realizable? $
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
Optimization
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