# The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in 1 answer below »

1. 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, up- holstery, and labor. The resource requirements for each piece of furniture and the total resources available weekly are as follows:

Resource Requirements

 Wood (board ft.) Upholstery (yd.) Labor (hr.) Sofa 7 12 6 Table 5 — 9 Chair 4 7 5 Total available resources 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 earns \$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.

1. Formulate a linear programming model for this problem.

2. Solve the model by using the computer.