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A company produces three types of diskdrive. X 1 is the number of type-A units,...

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A company produces three types of diskdrive. X1 is the number of type-A units, X2 is the number of type-B units and X3 is the number of type-C units made by the company each day. Each unit of type-A makes €10 profit, each type-B unit makes €16 profit and each type-c unit makes €32 profit. 

From the table below determine the number of type-A units the company should produce in order to maximise profit.

Cj 

 

 

10

16

32

0

0

0

Cb

Basis

b

X1

X2

X3

S1

S2

S3

32

X3

14

0

0

1

-0.4

0.2

-0.4

10

X1

25

1

0

0

1

-0.5

-0.6

16

X2

28

0

1

0

0.5

0.4

1.4

 

Zj

1146

10

16

32

5.2

7.8

3.6

 

Cj - Zj

 

0

0

0

-5.2

-7.8

-3.6

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