A wood products firm uses leftover time at the end of each week to make goods for stock. Currently, there are two products on the list of items that are produced for stock: a chopping board and a knife holder. Both items require three operations: cutting, gluing, and finishing. The manager of the firm has collected the following data on these products:         -------------------------------------------------------                                      Time per unit (minutes)                         Profit     ----------------------------          Item            per unit      Cutting  Gluing  Finishing         -------------------------------------------------------         Chopping board     $ 4         1.4      5        12         Knife holder       $ 6         1.8     13         3         -------------------------------------------------------  The manager has also determined that during each week 120 minutes are available for cutting, 650 minutes are available for gluing, and 360 minutes are available for finishing. Formulate Linear Programming (L.P) Model for above problem?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A wood products firm uses leftover time at the end of each week to make goods for stock. Currently, there are two products on the list of items that are produced for stock: a chopping board and a knife holder. Both items require three operations: cutting, gluing, and finishing. The manager of the firm has collected the following data on these products:

        -------------------------------------------------------

                                     Time per unit (minutes)

                        Profit     ---------------------------- 

        Item            per unit      Cutting  Gluing  Finishing

        -------------------------------------------------------

        Chopping board     $ 4         1.4      5        12

        Knife holder       $ 6         1.8     13         3

        -------------------------------------------------------

 The manager has also determined that during each week 120 minutes are available for cutting, 650 minutes are available for gluing, and 360 minutes are available for finishing. Formulate Linear Programming (L.P) Model for above problem? 

 

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