Linear program to optimizes cost , Supply Chain Management

Aerial Products has received a contract to construct airframes produced at a client's factory in Tennessee.  There are strict quality control measures in place for the airframes.  The metal they are made of must meet the following content specifications:

Material

Minimum

Maximum

Manganese

5%

7%

Silicon

2%

3.4%

Carbon

.73%

1.29%

The metal consists of these materials as well as five other added products to make one airframe.  The following table outlines the requirements for producing the metal for the airframe. Construct a linear program that optimizes cost while meeting the customers' requirements.

Material

Manganese

Silicon

Carbon

Pounds Available

Cost/lb.

AL1

20%

10%

1%

200

3$

AL 2

1%

.05%

3%

500

4$

Powder 1

15%

20%

.03%

1000

1500$

Powder 2

10%

12%

.05%

100

10000$

Ide 1

1%

2%

1%

50

.5$

Ide 2

5%

10%

5%

5

50000$

Metal 3

6%

4%

10%

15

12000$

Posted Date: 3/13/2013 1:31:38 AM | Location : United States







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