The reduced cost for a decision variable that appears in a Sensitivity Report indicates the change...
The reduced cost for a decision variable that appears in a Sensitivity Report indicates the change in the optimal objective function value that results from changing the right-hand side of the nonnegativity constraint from
1 to 0.
0 to 1.
–1 to 0.
0 to –1.
Homework Answers
0 to 1. is correct
The reduced cost for a decision variable that appears in a Sensitivity Report indicates the change in the optimal objective function value that results from changing the right-hand side of the non negativity constraint from 0 to 1
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The reduced cost for a decision variable that appears in a
Sensitivity Report indicates the change...
The sensitivity report is shown in Figure below SENSITIVITY REPORT FOR THE DIGITAL CONTROLS, INC., PROBLEM Variable Cel...
The sensitivity report is shown in Figure below SENSITIVITY REPORT FOR THE DIGITAL CONTROLS, INC., PROBLEM Variable Cells Model Final Reduced Objective Allowable Allowable Name Variable Value Coefficient Increase Decrease Cost Models A Manufactured 1.750 IE+30 AM 00.000 0.000 10.000 3.000 Models B Manufactured 0.000 2.333 BM 60.000 6.000 1.750 AP BP Models A Purchased E+30 1.750 0.000 90.000 14.000 0.000 3.000 Models B Purchased 9.000 2.333 Constraints Final Shadow Constraint Allowable Allowable Price Constraint Number Name R.H. Side Value...
Refer to the following sensitivity report Vaiatle Cels Reduced Objectirve Cel Hame Cost Value 3 C$6...
Refer to the following sensitivity report Vaiatle Cels Reduced Objectirve Cel Hame Cost Value 3 C$6 Activily 2 $DS6 Artvily 3 23 ED 17 10 1E+3D 2D Cel Hame SE$2 Resuute A $ES3 ResorteB $E$4 ResorteC Value 2D RH Side 2D 7.T8 10 12.5 10 18 1E+3D Based on the results, a one unit increase in resource C would lead to $ increase in the total A. $7.78 B. $18 C. $40 D. $0 Refer to the following sensitivity report...
X1=130 and X2=0, optimal profit 32,500 Using the solver report and the sensitivity report answer the...
X1=130 and X2=0, optimal profit 32,500
Using the solver report and the sensitivity report
answer the question below. Please show your work:
Assume the marginal profit on the generators will
decrease by $25.00. Without solving the problem again, what is the
optimal profit for the company now?
We were unable to transcribe this imageDecision Variable Cells Final Reduced Objective Allowable Allowable Cell SCS4 Number to produce Generators SDS4 Number to produce Alternators Name Value Cost Coefficient Increase Decrease E+30 150.0000001...
Match the following terms to their definition Feasible region Binding constraint [Choose] [Choose A feasible solution...
Match the following terms to their definition Feasible region Binding constraint [Choose] [Choose A feasible solution for which there are no other feasible points with a better objective function value in the entire feasible region. The change in the optimal objective function value per unit increase in the right-hand side of a constraint Restrictions that limit the settings of the decision variables A controllable input for a linear programming model The expression that defines the quantity to be maximized or...
a. What is the optimal solution in lay terms? What is the optimal value of the...
a. What is the optimal solution
in lay terms? What is the optimal value of the objective
function?
b. Which constraints are binding? Explain.
c. What are the shadow prices of demand for B constraint and
assembly time constraints? Interpret each.
d. If you could change the right-hand side of one constraint by
one unit (either increase or decrease), which one would you choose?
Why? Show all calculations.
e. State and interpret the ranges of optimality for any one of...
Reduced costs indicate how much the objective coefficient of a decision variable that is currently 0...
Reduced costs indicate how much the objective coefficient of a decision variable that is currently 0 or at its upper bound must change before that the value of the objective function changes. Reduced costs indicate how much the objective coefficient of a decision variable that is currently 0 or at its upper bound must change before that the value of that variable changes. Are both true or false?
Use the sensitivity report given to answer the questions below: Name SENSITIVITY REPORT Final Reduced Objective...
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...
(b) A LP model and its solution outputs and sensitivity report are as below. LP Model: Maximise R 7X+5Y+10 Z Subjective to: CI: 2X +Y+32 <= 50 C3: X 3 C6: X, Y, Z)so Outputs & Sensitivity Repo...
(b) A LP model and its solution outputs and sensitivity report are as below. LP Model: Maximise R 7X+5Y+10 Z Subjective to: CI: 2X +Y+32 <= 50 C3: X 3 C6: X, Y, Z)so Outputs & Sensitivity Report: Objective Cell Name Valu 101.33 SC$8 Max Variable Cells Final Value ReducedObjective Allowable Allowable Coefficient Increase Cell Name Cost Decrease 7.333333333 SC$3 X 0 E+30 SC$4 Y 0 5 4.333333333 E+30 SC$5 2 4 0 10 1.666666667 E+30 Constraints Final Value Shadow...
hapter 5 Quiz (pp. 150-162) Saved Help In linear programming, what-if analysis is associated with determining the effect of changing I. objective function coefficients Il. right-hand side value...
hapter 5 Quiz (pp. 150-162) Saved Help In linear programming, what-if analysis is associated with determining the effect of changing I. objective function coefficients Il. right-hand side values of constraints. IlI. decision variable values. 0150-13) Multiple Choice eBook objective function coefficients and right-hand side values of constraints References right-hand side values of constraints and decision variable values objective function coefficients, right-hand side values of constraints, and decision variable values objective function coefficients and decision veriable values None of the choices...
Question 14 5 pts Consider the sensitivity report below for the problems which follow. 6 Variable...
Question 14 5 pts Consider the sensitivity report below for the problems which follow. 6 Variable Cells Name Cell $8$3 $C$3 x1 X2 Final Reduced Objective Allowable Allowable Value Cost Coefficient increase Decrease 34 67.333333333 4011 12 Constraints Cell Constraint Allowable Allowable RH. Side Increase Decrease Name $0$10 Extrusion Used $0$11 Packaging Used $D$12 Additive Used Final Shadow Value Price 48 3 18 11 12 0 18 16 2 1E30 4 Which of the following constraints are binding? Extrusion and...
The sensitivity report is shown in Figure below SENSITIVITY REPORT FOR THE DIGITAL CONTROLS, INC., PROBLEM Variable Cells Model Final Reduced Objective Allowable Allowable Name Variable Value Coefficient Increase Decrease Cost Models A Manufactured 1.750 IE+30 AM 00.000 0.000 10.000 3.000 Models B Manufactured 0.000 2.333 BM 60.000 6.000 1.750 AP BP Models A Purchased E+30 1.750 0.000 90.000 14.000 0.000 3.000 Models B Purchased 9.000 2.333 Constraints Final Shadow Constraint Allowable Allowable Price Constraint Number Name R.H. Side Value...
Refer to the following sensitivity report Vaiatle Cels Reduced Objectirve Cel Hame Cost Value 3 C$6 Activily 2 $DS6 Artvily 3 23 ED 17 10 1E+3D 2D Cel Hame SE$2 Resuute A $ES3 ResorteB $E$4 ResorteC Value 2D RH Side 2D 7.T8 10 12.5 10 18 1E+3D Based on the results, a one unit increase in resource C would lead to $ increase in the total A. $7.78 B. $18 C. $40 D. $0 Refer to the following sensitivity report...
X1=130 and X2=0, optimal profit 32,500
Using the solver report and the sensitivity report
answer the question below. Please show your work:
Assume the marginal profit on the generators will
decrease by $25.00. Without solving the problem again, what is the
optimal profit for the company now?
We were unable to transcribe this imageDecision Variable Cells Final Reduced Objective Allowable Allowable Cell SCS4 Number to produce Generators SDS4 Number to produce Alternators Name Value Cost Coefficient Increase Decrease E+30 150.0000001...
Match the following terms to their definition Feasible region Binding constraint [Choose] [Choose A feasible solution for which there are no other feasible points with a better objective function value in the entire feasible region. The change in the optimal objective function value per unit increase in the right-hand side of a constraint Restrictions that limit the settings of the decision variables A controllable input for a linear programming model The expression that defines the quantity to be maximized or...
a. What is the optimal solution
in lay terms? What is the optimal value of the objective
function?
b. Which constraints are binding? Explain.
c. What are the shadow prices of demand for B constraint and
assembly time constraints? Interpret each.
d. If you could change the right-hand side of one constraint by
one unit (either increase or decrease), which one would you choose?
Why? Show all calculations.
e. State and interpret the ranges of optimality for any one of...
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...
(b) A LP model and its solution outputs and sensitivity report are as below. LP Model: Maximise R 7X+5Y+10 Z Subjective to: CI: 2X +Y+32 <= 50 C3: X 3 C6: X, Y, Z)so Outputs & Sensitivity Report: Objective Cell Name Valu 101.33 SC$8 Max Variable Cells Final Value ReducedObjective Allowable Allowable Coefficient Increase Cell Name Cost Decrease 7.333333333 SC$3 X 0 E+30 SC$4 Y 0 5 4.333333333 E+30 SC$5 2 4 0 10 1.666666667 E+30 Constraints Final Value Shadow...
hapter 5 Quiz (pp. 150-162) Saved Help In linear programming, what-if analysis is associated with determining the effect of changing I. objective function coefficients Il. right-hand side values of constraints. IlI. decision variable values. 0150-13) Multiple Choice eBook objective function coefficients and right-hand side values of constraints References right-hand side values of constraints and decision variable values objective function coefficients, right-hand side values of constraints, and decision variable values objective function coefficients and decision veriable values None of the choices...
Question 14 5 pts Consider the sensitivity report below for the problems which follow. 6 Variable Cells Name Cell $8$3 $C$3 x1 X2 Final Reduced Objective Allowable Allowable Value Cost Coefficient increase Decrease 34 67.333333333 4011 12 Constraints Cell Constraint Allowable Allowable RH. Side Increase Decrease Name $0$10 Extrusion Used $0$11 Packaging Used $D$12 Additive Used Final Shadow Value Price 48 3 18 11 12 0 18 16 2 1E30 4 Which of the following constraints are binding? Extrusion and...
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