A manufacturer produces two types of barbecue grills: Old Smokey and Blaze Away. During production, the grills require the use of two machines A and B. The number of hours to produce both machines are indicated in the table below. Each machine can be used for 24 hours a day. The profit for each unit of Old Smokey and Blaze Away are $5 and $3, respectively. Old Smokey Blaze Away Machine A Machine B 2 hrs 4 hrs 3 hrs 2 hrs a) Formulate the LP problem. b) Find the optimal solution using the Simplex method.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
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A manufacturer produces two types of barbecue grills: Old Smokey and Blaze Away. During production, the grills
require the use of two machines A and B. The number of hours to produce both machines are indicated in the table
below. Each machine can be used for 24 hours a day. The profit for each unit of Old Smokey and Blaze Away are $5
and $3, respectively.
Machine A Machine B
4 hrs
Old Smokey
Blaze Away
2 hrs
3 hrs
2 hrs
a) Formulate the LP problem.
b) Find the optimal solution using the Simplex method.
Transcribed Image Text:A manufacturer produces two types of barbecue grills: Old Smokey and Blaze Away. During production, the grills require the use of two machines A and B. The number of hours to produce both machines are indicated in the table below. Each machine can be used for 24 hours a day. The profit for each unit of Old Smokey and Blaze Away are $5 and $3, respectively. Machine A Machine B 4 hrs Old Smokey Blaze Away 2 hrs 3 hrs 2 hrs a) Formulate the LP problem. b) Find the optimal solution using the Simplex method.
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