Increase or decrease without changing the values

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The computer output given below is for Problem 31. Use this to answer the following questions.

(a) How much could the profit on X increase or decrease without changing the values of X and Y in the optimal solution?

(b) If the right-hand side of constraint 1 were increased by 1 unit, how much would the profit increase?

(c) If the right-hand side of constraint 1 were increased by 10 units, how much would the profit increase?

X Y RHS Dual
Maximize 5 6
const 1 2 1
120 0.75
const 2 2 3
240 1.75
Solution -> 30 60 510
Problem 33 Solution
Variable Value Reduced Cost Original Val Lower Bound Upper Bound
X 30 0 5 4 12
Y 60 0 6 2.5 7.5
Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound
const 1 0.75 0 120 80 240
const 2 1.75 0 240 120

360

Reference no: EM131092534

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