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.

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