Question

Use the sensitivity report given to answer the questions below: Name SENSITIVITY REPORT Final Reduced Objective Value Cost Coefficient 110 0 350 300 75 Allowable Increase 80 # Aqua-Spa # Hydro-Lux # Typhoon-Lagoon Allowable Decrease 30 Infinite 10 -20 20 320 50 Constraints Name Shadow Price 150 Allowable Decrease Final Value 175 1400 2550 # Pumps used Hrs. Labor Used Ft. of Tubing Used Constant RHS 175 1500 2550 Allowable Increase 10 Infinite 100 15 125 O 7 50 11 - How much of each resource is being consumed to produce the optimal solution? 2-What is the meaning of the shadow price for tubing?

Answer 1

Answer:-

Given That:-

SENSITIVITY REPORT

(1) How much of each resource is being cosumed to produce the optimal solution?

We have much of the resource is being consume to produce the optimal solution,

Look at second table contains and final value column,

Pumps used = 175

Hrs. Labor used = 1400

Ft. of Tubing used = 2550

(2) What is the meaning of the shadow price for tubing?

Now,

We have the maining of the shadow price for tubing.

The since in the optimal value of profit = 62,500

The right side in one unit, moving from 2550 to 2551 units.

Then optimal profit will increase by $ 7

= 62500 + 7

= 62507

Now,

The change in the value of the objective function per unit increase in the right hand side of the constraint.

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