Linear Programming

Linear Programming

Linear Programming

Question 3



The solution which maximizes the total proceeds of planning weekly production is £86100.

Variable

Value

Reduced Cost

Original Val

Lower Bound

Upper Bound

X1

42.8571

0

30

0

35

X2

100

0

45

38.5714

Infinity

Constraint

Dual Value

Slack/Surplus

Original Val

Lower Bound

Upper Bound

Constraint 1

0

87.1429

130

42.8571

Infinity

Constraint 2

6.4286

0

100

32.2222

133.3333

Constraint 3

17.1429

0

300

225

452.5



The impact of the changing in products shows the same feasibility area of the linear problem which was available in (a) and also the maximum profit can be achieved to £14120.

Variable

Value

Reduced Cost

Original Val

Lower Bound

Upper Bound

X1

42.8571

0

35

0

35

X2

100

0

45

45

Infinity

Constraint

Dual Value

Slack/Surplus

Original Val

Lower Bound

Upper Bound

Constraint 1

0

87.1429

130

42.8571

Infinity

Constraint 2

0

0

100

32.2222

133.3333

Constraint 3

20

0

300

225

452.5



The impact of the changing in products has reduced the feasibility area in comparison with part (a) and (b) of the linear problem and also ...