A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hours of assembly; component B requires 3 hours of fabrication and 1 hours of assembly; component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,000 labor-hours of fabrication time and 800 labor-hours of assembly time available per week. The combined total number of components produced each week cannot exceed 420.The profit on each component, A, B, and C, is $7, $8, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold)? What is the maximum profit?
A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hours of assembly; component B requires 3 hours of fabrication and 1 hours of assembly; component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,000 labor-hours of fabrication time and 800 labor-hours of assembly time available per week. The combined total number of components produced each week cannot exceed 420.The profit on each component, A, B, and C, is $7, $8, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold)? What is the maximum profit?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hours of assembly; component B requires 3 hours of fabrication and 1 hours of assembly; component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,000 labor-hours of fabrication time and 800 labor-hours of assembly time available per week. The combined total number of components produced each week cannot exceed 420.The profit on each component, A, B, and C, is $7, $8, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold)? What is the maximum profit?
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