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 resource requirements for each piece of furniture and the total resources available weekly are as follows:

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.
a. Formulate a linear programming model for this problem.
b. Solve the model by using thecomputer.

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Resource Requirements Wood (board ft.) Upholstery (yd.) Labor (hr) Sofa Table Chair Total available resources 12 2,250 1,000 240