II. Linear Programming. Kohler Furniture manufactures two types of chairs, regular and high back. Each regular chair requires 2 hours to construct and finish, and each high back requires 3 hours to construct and finish. Upholstering takes 1 hour for a regular chair and 3 hours for a high back chair. There are 240 hours per day available for construction and finishing, and 150 hours per day are available for upholstering. They want to produce regular chairs at least 3 times more than the high back chairs. If the revenue for a regular chair is $80 and a high back chair is $133, how many of each type should be produced each day to maximize revenue? Define all variables. (Do not use x and y. Be specific.) a. gh bock Chairs b. Write a sét of constraints according to the scenario. back +un150 c. Write the objective function.
II. Linear Programming. Kohler Furniture manufactures two types of chairs, regular and high back. Each regular chair requires 2 hours to construct and finish, and each high back requires 3 hours to construct and finish. Upholstering takes 1 hour for a regular chair and 3 hours for a high back chair. There are 240 hours per day available for construction and finishing, and 150 hours per day are available for upholstering. They want to produce regular chairs at least 3 times more than the high back chairs. If the revenue for a regular chair is $80 and a high back chair is $133, how many of each type should be produced each day to maximize revenue? Define all variables. (Do not use x and y. Be specific.) a. gh bock Chairs b. Write a sét of constraints according to the scenario. back +un150 c. Write the objective function.
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 33E
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Transcribed Image Text:III. Linear Programming.
Kohler Furniture manufactures two types of chairs, regular and high back. Each
regular chair requires 2 hours to construct and finish, and each high back requires 3
hours to construct and finish. Upholstering takes 1 hour for a regular chair and 3
hours for a high back chair. There are 240 hours per day available for construction
and finishing, and 150 hours per day are available for upholstering. They want to
produce regular chairs at least 3 times more than the high back chairs. If the revenue
for a regular chair is $80 and a high back chair is $133, how many of each type
should be produced each day to maximize revenue?
a. Define all variables. (Do not use x and y. Be specific.)
mgh bock ChairS
b. Write a sét of constraints according to the scenario.
of
30
awback
(-30
350
c. Write the objective function.
3.+3h<150
Kevonuc=
1231
6.
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