A Company manufactures two products, rockers and bookshelf units. Its profit is $30 per rocker and $42 per bookshelf unit. Next week's production will be constrained by two limited resources: labor and wood. The labor available next week is expected to be at MOST 930 hours, and the amount of wood available is expected to be at most 2400 board feet. Each rocker requires 4 labor hours and 8 board feet of wood.Each bookshelf requires 3 labor hours and 12 board feet of wood.   The above information is summarized in the table below. Using the graphical linear programming technique, and the table provided below, find the number of rockers and bookshelves that the company can produce next week, to MAXIMIZE its Profit; and find its Profit at Maximum.   Table for Question #10 Product/LImits                       Rockers                   Bookshelves                Available Labor Hours                          4hrs/unit                   3hrs/unit                      930hrs                  Wood  Needed                     8bft/unit                    12bft/unit                   2400 b/ft Profit per unit                        $30                           $42

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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 A Company manufactures two products, rockers and bookshelf units. Its profit is $30 per rocker and $42 per bookshelf unit. Next week's production will be constrained by two limited resources: labor and wood. The labor available next week is expected to be at MOST 930 hours, and the amount of wood available is expected to be at most 2400 board feet. Each rocker requires 4 labor hours and 8 board feet of wood.Each bookshelf requires 3 labor hours and 12 board feet of wood. 

 The above information is summarized in the table below.

Using the graphical linear programming technique, and the table provided below, find the number of rockers and bookshelves that the company can produce next week, to MAXIMIZE its Profit; and find its Profit at Maximum.

 

Table for Question #10

Product/LImits                       Rockers                   Bookshelves                Available

Labor Hours                          4hrs/unit                   3hrs/unit                      930hrs                 

Wood  Needed                     8bft/unit                    12bft/unit                   2400 b/ft

Profit per unit                        $30                           $42



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