Question: Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2

Variable cells

Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease
$B$6 Activity 1 3 0 30 23 17
$C$6 Activity 2 6 0 40 50 10
$D$6 Activity 3 0 7 20 7 1E+30

Constraints

Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease
$E$2 Resource A 20 7.78 20 10 12.5
$E$3 Resource B 30 6 30 50 10
$E$4 Resource C 18 0 40 1E+30 22

1. What is the allowable range for the right-hand-side for Resource C?

a. 18 RHSc

b. RHSc 62

c. 2 RHSc

d. RHSc 40

e. 0 RHSc 22

2. If the right-hand side of Resource B changes to 10, then:

a. the original solution remains optimal.

b. the problem must be resolved to find the optimal solution.

c. the shadow price is valid.

d. the shadow price is not valid.

e. None of the choices is correct.

3. If the coefficients of Activity 1 and Activity 2 in the objective function are both increased by $10, then:

a. the optimal solution remains the same.

b. the optimal solution may or may not remain the same.

c. the optimal solution will change.

d. the shadow prices are valid.

e. None of the choices is correct.

4. If the right-hand side of Resource B is increased by 30, and the right-hand side of Resource C is decreased by 10, then:

a. the optimal solution remains the same.

b. the optimal solution will change.

c. the shadow prices are valid.

d. the shadow prices may or may not be valid.

e. None of the choices is correct.

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