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Category > Business & Finance Posted 22 Jul 2017 My Price 8.00

The Pinewood Cabinet and Furniture Company produces sofas

The Pinewood 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:

Furniture Product

  

Resource Requirements

Wood (l b)

Upholstery (y d)

Labor (hour)

Sofa

7

12

9

Table

5

—

7

Chair

4

7

5

Total available resources

2250

1000

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 500 pieces of furniture, however, a sofa takes up twice as much space as a table or chair. Each sofa earns $320 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 in order to maximize profit.

Formulate and solve a linear programming model for this problem

Answers

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Status NEW Posted 22 Jul 2017 12:07 PM My Price 8.00

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