Formulate a linear programming model for this problem

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Reference no: EM13994644

the hickory and furniture company produce sofas, tables, and chairs. The company uses three main resources to make furniture - wood, upholstery, and labor. The resource requirements for each piece of piece of furniture and total resources available weekly are as follows:

Resource Requirments
	Wood (lb.)	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: EM13994644

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