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We will look at another production planning example.

 

The Problem

A manufacturer produces 4 wire cloth products: industrial wire cloth, insect screen, roofing mesh, and snow fence. For each product, aluminum wire is stretched to an appropriate thickness and then the wire is woven together to form a mesh. Production requirements and profit margins vary by product according to the chart below. There are 600 hours available on the wire-drawing machine and 1000 hours on the loom. In addition, 15 cwt of aluminum wire is available to be used as raw material. How much of each product should be produced so as to maximize profit? Assume that the company can sell everything it produces.

Data per 1000 sq. ft. of each product:

Aluminum wire (cwt)

Wire drawing (100s of hrs.)

Weaving (100s of hrs.)

Profit Margin ($100s)

Industrial Cloth

1

1

2

6

Insect Screen

3

1

1

5

Roofing Mesh

3

2

1.5

3.8

Snow Fence

2.5

1.5

2

4