Problem 16

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 warehouse has a total capacity of 650 pieces of furniture. Each sofa earn $400 in profit , each table $275 and each chair $190. The company wants to know how many pieces of each type of furniture to make per week to maximize profit.

Formulate a linear programming model for the problem you select