2. A small company manufactures 3 different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 1 hr of fabrication and 2 hours of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1000 labor-hours of fabrication time and 800 labor-hours of assembly time available per week. The profit on each component A, B, and C is $7, 9, and 10 respectively. How many components of each type should the company manufacture each week in order to maximize its profit? What is the maximum profit?
2. A small company manufactures 3 different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 1 hr of fabrication and 2 hours of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1000 labor-hours of fabrication time and 800 labor-hours of assembly time available per week. The profit on each component A, B, and C is $7, 9, and 10 respectively. How many components of each type should the company manufacture each week in order to maximize its profit? What is the maximum profit?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 4RE
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Question
![2. A small company manufactures 3 different electronic components for
computers. Component A requires 2 hours of fabrication and 1 hour of
assembly; component B requires 1 hr of fabrication and 2 hours of
assembly, and component C requires 2 hours of fabrication and 2 hours of
assembly. The company has up to 1000 labor-hours of fabrication time
and 800 labor-hours of assembly time available per week. The profit on
each component A, B, and C is $7, 9, and 10 respectively. How many
components of each type should the company manufacture each week
in order to maximize its profit? What is the maximum profit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F921f1be3-238b-4bb3-9c88-cede73687293%2Fb3c6cbf2-6e43-4451-a624-16b156d66459%2Fj0eey8_processed.png&w=3840&q=75)
Transcribed Image Text:2. A small company manufactures 3 different electronic components for
computers. Component A requires 2 hours of fabrication and 1 hour of
assembly; component B requires 1 hr of fabrication and 2 hours of
assembly, and component C requires 2 hours of fabrication and 2 hours of
assembly. The company has up to 1000 labor-hours of fabrication time
and 800 labor-hours of assembly time available per week. The profit on
each component A, B, and C is $7, 9, and 10 respectively. How many
components of each type should the company manufacture each week
in order to maximize its profit? What is the maximum profit?
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