Question 9 SENSITIVITY REPORT FOR THE QUALITY AIR CONDITIONING PROBLEM Variable Cells Model Variable E S D Name Economy Models Standard Models Deluxe Models Final Value 80.000 120.000 0.000 Reduced Cost 0.000 0.000 -24.000 Objective Coellicient 63.000 95.000 135.000 Allowable Increase 12.000 31.000 24.000 Allowable Decrease 15.500 8.000 IE+30 Constraints Constraint Number 1 2 3 Name Fan Motors Cooling Coils Manufacturing Time Final Value 200.000 320.000 2080.000 Shadow Price 31.000 32.000 0.000 Constraint R.H. Side 200.000 320.000 2400.000 Allowable Increase 80.000 80.000 1E+30 Allowable Decrease 40.000 120.000 320.000 Using the sensitivity report answer the following: a. Write down the objective function of the model (this is a maximization problem): b. What is the optimal solution of the model? c. Which constrain is binding: d. If the profit for the deluxe model were increased to $150 per unit, would the optimal solution change? Explain