A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 1 hour 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 forcomputers. Component A requires 2 hours of fabrication and 1 hour ofassembly; component B requires 1 hr of fabrication and 2 hours ofassembly, and component C requires 2 hours of fabrication and 2 hours ofassembly. The company has up to 1000 labor-hours of fabrication timeand 800 labor-hours of assembly time available per week. The profit oneach component A, B, and C is $7, 9, and 10 respectively. How manycomponents of each type should the company manufacture each weekin order to maximize its profit? What is the maximum profit?

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Description: A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 1 hour of fabrication and 2 hours of assembly, and component C requires 2 hours

Form the given word problem, the following Linear programming problem has been derived We need to…

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A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 1 hour 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?

A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 1 hour 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?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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