Formulate an LP model for the following problems. 1. A furniture company makes two products: book shelves selling for P5,000 and cabinets selling for P8,000. The direct cost per unit is P3,000 and P4,000, respectively. The company has no difficulty in selling all the products it can manufacture. The assembly department has 60 hours available per week and the finishing department can handle up to 48 hours of work per week. Manufacturing one book shelf requires 4 hours in assembly and 2 hours in finishing. Each cabinet requires 2 hours in assembly and 4 hours in finishing. How can the management allocate the limited man-hour of the two departments in a way which will secure the largest possible net return?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Operations Research
Formulate an LP model for the following problems.
1. A furniture company makes two products: book shelves selling for P5,000 and
cabinets selling for P8,000. The direct cost per unit is P3,000 and P4,000,
respectively. The company has no difficulty in selling all the products it can
manufacture. The assembly department has 60 hours available per week and the
finishing department can handle up to 48 hours of work per week. Manufacturing
one book shelf requires 4 hours in assembly and 2 hours in finishing. Each
cabinet requires 2 hours in assembly and 4 hours in finishing. How can the
management allocate the limited man-hour of the two departments in a way
which will secure the largest possible net return?
Transcribed Image Text:Formulate an LP model for the following problems. 1. A furniture company makes two products: book shelves selling for P5,000 and cabinets selling for P8,000. The direct cost per unit is P3,000 and P4,000, respectively. The company has no difficulty in selling all the products it can manufacture. The assembly department has 60 hours available per week and the finishing department can handle up to 48 hours of work per week. Manufacturing one book shelf requires 4 hours in assembly and 2 hours in finishing. Each cabinet requires 2 hours in assembly and 4 hours in finishing. How can the management allocate the limited man-hour of the two departments in a way which will secure the largest possible net return?
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