In a diet problem one seeks to minimize the cost of meeting dietary requirements for four nutrients, A, B, C, and D. There are five possible food components, numbered 1 through 5 that are used to achieve this goal. The problem has been modeled and optimized. The sensitivity report is shown below: Variable Cells Name Component 1 Component 2 Component 3 Component 4 Component 5 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 0 0.02 0.21 1E30 0.02 10 0 0.19 0.02 0.06 14 o 0.18 0.01 0.0325 2 0 0.23 0.26 0.06 0 0.01 0.19 1E30 0.01 Constraints Final Value Name A Quantity in Blend B Quantity in Blend C Quantity in Blend D Quantity in Blend 30 60 70 60 Shadow Price 0.03 0 0.026 0.036 Constraint Allowable Allowable R.H. Side Increase Decrease 30 14 4 50 10 1E+30 70 20 17.5 60 20 10 The above Sensitivity Report indicates that The current optimal solution is (30, 60, 70, 60) The optimal solution value is $4.88 The required amount for constraint is binding The current optimal solution is (0, 10, 14, 2.0) Exactly two of these answers are correct. Exactly three of the answers are correct. Component 5 0 0.01 0.19 1E+30 0.01 Constraints Name A Quantity in Blend B Quantity in Blend C Quantity in Blend D Quantity in Blend Final Value 30 60 70 60 Shadow Price 0.03 0 0.026 0.036 Constraint R.H. Side 30 50 70 60 Allowable Increase 14 10 20 20 Allowable Decrease 4 1E30 17.5 10 The above Sensitivity Report indicates that An increase in the requirement of Nutrient B by 11 units will have no effect on the current optimal solution or solution value. A decrease in the requirement of Nutrient B by 11 units will change the current optimal solution and solution value. An increase in the requirement of Nutrient A by 5 units will increase total cost by $0.15 A decrease in the requirement of Nutrient A by 5 units will decrease the total solution cost by $0.15. Exactly two of these answers are correct. Exactly three of these answers are correct. Constraints Final Name A Quantity in Blend B Quantity in Blend C Quantity in Blend D Quantity in Blend Value 30 60 70 60 Shadow Price 0.03 0 0.026 0.036 Constraint R.H. Side 30 50 70 60 Allowable Increase 14 10 20 20 Allowable Decrease 4 1E+30 17.5 10 The above Sensitivity Report indicates that A decrease in the cost of Component 4 by 5 cents per unit will have no effect on the current optimal solution or solution value. A decrease in the cost of Component 4 by 5 cents per unit will change the optimal solution, but not the optimal solution value. A decrease in the cost of Component 4 by 5 cents per unit will decrease the optimal solution value, but have no effect on the optimal solution. A decrease in the cost of Component 2 by 5 cents per unit will change both the optimal solution and the optimal solution value. Exactly two of these answers are correct None of the other answers are correct