A company that makes handbags, razor bags and backpacks needs to make the most of its raw materials. The production includes leather and synthetic materials, and leather is the scarce raw material. The production process requires two types of skilled labor: sewing and finishing. The following table gives the availability of resources, their consumption by the three products and the profits per unit. Requested: Get the Case Variables Obtain the Objective Function Get Restrictions Create the Simplex Table Obtain the Optimal Solution and Slack Variables a. Formulate the problem using the Simplex method, and find the optimal solution. b. From the optimal solution, determine the state of each resource.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A company that makes handbags, razor bags and backpacks needs to make the most of its raw materials. The production includes leather and synthetic materials, and leather is the scarce raw material. The production process requires two types of skilled labor: sewing and finishing. The following table gives the availability of resources, their consumption by the three products and the profits per unit. Requested: Get the Case Variables Obtain the Objective Function Get Restrictions Create the Simplex Table Obtain the Optimal Solution and Slack Variables a. Formulate the problem using the Simplex method, and find the optimal solution. b. From the optimal solution, determine the state of each resource.
resource
fur (m2)
sewing (h)
finish (h)
sale price ($)
handbag
2
2
1
24
resource requirements per unit
razor bag
1
1
0.5
22
backpack daily availability
42 m2
3
2
1
45
40 h
45 h
Transcribed Image Text:resource fur (m2) sewing (h) finish (h) sale price ($) handbag 2 2 1 24 resource requirements per unit razor bag 1 1 0.5 22 backpack daily availability 42 m2 3 2 1 45 40 h 45 h
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