A small firm builds two types of garden shed. Garden shed 1 requires 2 hours machine time and 5 hours craftsman time. Garden shed 2 requires 3 hours of machine time and 5 hours of craftsman time. Each day there are 30 hours of machine time available and 60 hours of craftsman time. The profit one each garden shed 1 is £60 and, on each garden shed 2 is £84. Formulate the linear programming model and feasible solution using simplex method.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 34P
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Answer the following in 4 parts: • Provide the Linear Programming Model for each problem. • Solve the LP problems using simplex method. • Provide the final feasible solutions. • Create a spreadsheet model of the same problems using MS Excel Solver Add-In

Case #1
A small firm builds two types of garden shed. Garden shed 1 requires 2 hours
machine time and 5 hours craftsman time. Garden shed 2 requires 3 hours of
machine time and 5 hours of craftsman time. Each day there are 30 hours of
machine time available and 60 hours of craftsman time. The profit one each
garden shed 1 is £60 and, on each garden shed 2 is £84. Formulate the linear
programming model and feasible solution using simplex method.
Transcribed Image Text:Case #1 A small firm builds two types of garden shed. Garden shed 1 requires 2 hours machine time and 5 hours craftsman time. Garden shed 2 requires 3 hours of machine time and 5 hours of craftsman time. Each day there are 30 hours of machine time available and 60 hours of craftsman time. The profit one each garden shed 1 is £60 and, on each garden shed 2 is £84. Formulate the linear programming model and feasible solution using simplex method.
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