Solution-Linear programming model for problem

Linear programming model for problem

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Reference no: EM131071911

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:

	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.

a. Formulate a linear programming model for this problem

b. Solve the model by using the computer.

Reference no: EM131071911

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Linear programming model for problem

Reference no: EM131071911

Reference no: EM131071911

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