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 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,100 labor-hours of fabrication time and 900 labor-hours of assembly time available per week. 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? Let x, x2, and X3 be the numbers of components A, B, and C, respectively, that get manufactured. Construct a mathematical model in the form of a linear programming problem. Мaximize P- subject to Fabrication time restriction Assembly time restriction X1, X2, Хз 20 Enter your answer in the edit fields and then click Check Answer. part remaining 1 Clear All Check Answer VI VI

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,100
labor-hours of fabrication time and 900 labor-hours of assembly time available per week. 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?
Let x, x2, and X3 be the numbers of components A, B, and C, respectively, that get manufactured. Construct a mathematical model in the form of a linear
programming problem.
Мaximize P-
subject to
Fabrication time restriction
Assembly time restriction
X1, X2, Хз 20
Enter your answer in the edit fields and then click Check Answer.
part
remaining
1
Clear All
Check Answer
VI
VI
Transcribed Image Text: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 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1,100 labor-hours of fabrication time and 900 labor-hours of assembly time available per week. 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? Let x, x2, and X3 be the numbers of components A, B, and C, respectively, that get manufactured. Construct a mathematical model in the form of a linear programming problem. Мaximize P- subject to Fabrication time restriction Assembly time restriction X1, X2, Хз 20 Enter your answer in the edit fields and then click Check Answer. part remaining 1 Clear All Check Answer VI VI
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