Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36 Formulate a linear programming model for the problem you select. The Hickory Cabinet and Furniture Company produces

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Problem 16

Select an even-numbered LP problem from the text, excluding 14, 20, 22, 36  Formulate a linear programming model for the problem you select. The Hickory Cabinet and Furniture  Company  produces  sofas , tables and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture –wood, upholstery and labor. The resources  requirements for each piece of furniture  and the  total resources available  weekly are as followed:

                                                    Wood(broad ft.)                  Upholstery (yd.)                      Labor(hr.)

Sofa                                                    7                                         12                                             6

Table                                                 5                                          —-                                             9

Chair                                                  4                                            7                                               5

Total resources available        2,250                                        1, 000                                       240

The furniture is produced on a weekly basis and stored in a warehouse until the end of the week , when it is shipped out. The

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