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Linear Programming Model Calculations

See attached file for full problem description.
Question 14 only.

Figure E.10 Solution

Variable Variable Original coefficient
Label Value Coefficient Sensitivity
x1 3.125 7 0
x2 28.125 5 0
x3 0 2 0.75

Constraint Original Slack or Shadow
label RHV Surplus Price
MachineA 150 0 0.25
MachineB 100 0 1.25
MachineC 160 100.625 0

Objective Function Value: 162.5

Sensitivity Analysis and Ranges
Objective Function Coefficients

Variable Lower Original Upper
Label Limit Coefficient limit
x1 5.2857 7 8.3333
x2 4.2 5 11.6667
x3 no limit 2 2.75

Right-Hand Side Values

Right Hand Side Values
constraint Lower Original Upper
label limit Value Limit

Extrusion 60 150 166.6667
Packaging 90 100 250
Additive 59.375 160 no limit

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Solution Summary

Linear programming model calculations are investigated.

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