Formulate the appropriate linear program

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A manufacturer produces six products from six inputs. Each product requires different combinations and amounts of inputs. The following table shows the profit and raw materials requirements for each product. The last column shows the total amounts of raw materials available

 

 

Products

 

 

1

 

 

2

 

 

3

 

 

4

 

 

5

 

 

6

 

TotalAmounts of Inputs

Profits        Inputs Required:

Aluminum

60

 

.5

70

 

2

48

 

-

52

 

2

48

 

1

60

 

-

 

 

400

Steel

2

2.5

1.5

-

.5

-

580

Plastic

-

1.5

4

-

.5

-

890

Rubber

1

-

.5

1

.5

2.5

525

Glass

1

2

1.5

.4

1

2

650

Chrome

.5

2

.5

2

1.5

2

620

a. Formulate the appropriate linear program.

b. Find the company's most profitable production plan using a spreadsheet optimizer.

Reference no: EM13879955

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