G and P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major appliance manufacturer. Although two models of motors exist, the finished models are indistinguishable from one another; their cost difference is due to a different production sequence. The time in hours required for each model in each production area is tabled here, along with the labor cost. Area A Area B Area C Cost 15 4 4 80 Model 1 3 10 8 65 Model 2 Currently labor assignments provide for 10,000 hours in each of Areas A and B and 18000 hours in Area C. If 2000 hours are available to be transferred from area B to Area A, 3000 hours are available to be transferred from area C to either Areas A or B, develop the linear programming model whose solution would tell G&P how many of each model to produce and how to allocate the workforce.
G and P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major appliance manufacturer. Although two models of motors exist, the finished models are indistinguishable from one another; their cost difference is due to a different production sequence. The time in hours required for each model in each production area is tabled here, along with the labor cost. Area A Area B Area C Cost 15 4 4 80 Model 1 3 10 8 65 Model 2 Currently labor assignments provide for 10,000 hours in each of Areas A and B and 18000 hours in Area C. If 2000 hours are available to be transferred from area B to Area A, 3000 hours are available to be transferred from area C to either Areas A or B, develop the linear programming model whose solution would tell G&P how many of each model to produce and how to allocate the workforce.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:G and P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major
appliance manufacturer. Although two models of motors exist, the finished models are indistinguishable
from one another; their cost difference is due to a different production sequence. The time in hours
required for each model in each production area is tabled here, along with the labor cost.
Area A
Area B
Area C
Cost
Model 1
15
4
4
80
3
10
8
65
Model 2
Currently labor assignments provide for 10,000 hours in each of Areas A and B and 18000 hours in Area C.
If 2000 hours are available to be transferred from area B to Area A, 3000 hours are available to be
transferred from area C to either Areas A or B, develop the linear programming model whose solution
would tell G&P how many of each model to produce and how to allocate the workforce.
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