A plumber can buy plastic pipe in 6-foot and 12-foot lengths. The current job requires eight 4-foot lengths, five 5-foot lengths and three 7-foot lengths. The plumber wants to figure out how many of each of the two stock lengths should be bought to minimize waste. (a) Set up a linear programming model to the above situation. (b) Solve the model. (c) Perform a sensitivity analysis on the model. (d) Comment on the solution, noting the meanings of the slack variables and the ranges for resource and cost components.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.5: Multistage Decision Problems
Problem 17P
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A plumber can buy plastic pipe in 6-foot and 12-foot lengths. The current job requires
eight 4-foot lengths, five 5-foot lengths and three 7-foot lengths. The plumber wants
to figure out how many of each of the two stock lengths should be bought to minimize
waste.
(a) Set up a linear programming model to the above situation.
(b) Solve the model.
(c) Perform a sensitivity analysis on the model.
(d) Comment on the solution, noting the meanings of the slack variables and the
ranges for resource and cost components.
Transcribed Image Text:A plumber can buy plastic pipe in 6-foot and 12-foot lengths. The current job requires eight 4-foot lengths, five 5-foot lengths and three 7-foot lengths. The plumber wants to figure out how many of each of the two stock lengths should be bought to minimize waste. (a) Set up a linear programming model to the above situation. (b) Solve the model. (c) Perform a sensitivity analysis on the model. (d) Comment on the solution, noting the meanings of the slack variables and the ranges for resource and cost components.
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