Titebond blends Methanol and Toluene to produce two types of wood glues. Glue 1 must be at least 70% Toluene and sells for $70/Ib. Glue 2 must be at least 40% Methanol and sells for $40/lb. Titebond can purchase up to 80 Ibs. of Toluene at $15/lb and up to 100 Ibs. of Methanol at $10/lb. Assuming that all glue produced can be sold, formulate an LP to help Titebond maximize profits.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
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Question 5
Titebond blends Methanol and Toluene to produce two types of wood glues. Glue 1 must be at least 70%
Toluene and sells for $70/Ib. Glue 2 must be at least 40% Methanol and sells for $40/lb. Titebond can'
purchase up to 80 lbs. of Toluene at $15/lb and up to 100 Ibs. of Methanol at $10/lb. Assuming that all
glue produced can be sold, formulate an LP to help Titebond maximize profits.
Transcribed Image Text:Question 5 Titebond blends Methanol and Toluene to produce two types of wood glues. Glue 1 must be at least 70% Toluene and sells for $70/Ib. Glue 2 must be at least 40% Methanol and sells for $40/lb. Titebond can' purchase up to 80 lbs. of Toluene at $15/lb and up to 100 Ibs. of Methanol at $10/lb. Assuming that all glue produced can be sold, formulate an LP to help Titebond maximize profits.
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