Question: $D$5 Constraint1 $D$6 Constraint2 Final Reduced Value Cost 4 0 0 -3 Objective Coefficient 4 1 Constraint R.H. Side 8 8 Allowable Increase 1E+30 3

$D$5 Constraint1 $D$6 Constraint2 Final Reduced

$D$5 Constraint1 $D$6 Constraint2

Final Reduced Value Cost

4 0

0 -3

Objective Coefficient

4 1

Constraint R.H. Side

8 8

Allowable Increase

1E+30 3

Allowable Increase

8 1E+30

Allowable Decrease

3 1E+30

Allowable Decrease

8 4

Final Value

8 4

Shadow Price

2 0

Suppose you are provided with the above partial output:

a) What is the optimal solution and value?

b) Which constraints are binding?

c) What are the ranges of the cost coefficients and what is true in those ranges?

d) What is the range of RHSs?

e) If the RHS of constraint1 were 13, what would the optimal value be?

Consider the following linear program: MaxZ=4x1+x2s.t.2x1+2x28x1+3x28x1,x20 SOLVER was used to solve the problem, yielding Suppose you are provided with the above partial output: a) What is the optimal solution and value? b) Which constraints are binding? c) What are the ranges of the cost coefficients and what is true in those ranges? d) What is the range of RHSs? e) If the RHS of constraint1 were 13, what would the optimal value be

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