Use Computer Output 4. If you could increase the right hand side of one constraint by one unit, which one would you choose?
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constraint 1 |
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constraint 4 |
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constraint 2 |
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constraint 3 |
Homework Answers
Ans - Constraint 3
Reason = It has the highest dual value. So, with one unit increase, the objective function value will increase by 60
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Use Computer Output 4. If you could increase the right hand side of one constraint by one unit, which one would you cho...
The following linear programming problem has been solved by LINDO. Use the output to answer the...
The following linear programming problem has been solved by LINDO. Use the output to answer the questions. (Scroll down to see all). LINEAR PROGRAMMING PROBLEM MAX 41X1+52X2+21X3 S.T. C.1) 5X1 + 5X2 + 9X3 < 1200 C.2) 11X1 + 14X2 + 5X3 < 1500 END LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1) 5795.049 VARIABLE VALUE REDUCED COST X1 0.000 0.217822 X2 74.247 0.000000 X3 92.079 0.000000 ROW SLACK OR SURPLUS DUAL...
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...
If the per unit profit associated with producing the standard glove were to increase by $3...
If the per unit profit associated with producing the standard glove were to increase by $3 a pair, what would the impact be on the total profit? Obje ctive Cell (Max) Original Value Final Value Cell Name $B54 Obje ctive Function (Maxim ize Profit) 218 Variable Cells Integer 18 Contin 16 Contin Original Value Final Value Cell Name $B$1 X1(#of standard gloves) $852 X2(#of deluxe gloves) Constraints Cell Cell Value Formula Status Slack Name $B$8 1) Constraint#1 (le ather cutting...
Figure 1 provides the Excel Sensitivity output for the following LP model. 10x1 + 8x2 Max...
Figure 1 provides the Excel Sensitivity output for the following LP model. 10x1 + 8x2 Max Z= subject to: 31 +2x2 < 24 2x1 + 4x2 = 12 -2x1 + 2 x2 56 X1, X2 > 0 Variable Cells Cell Name $B$13 Solution x1 $C$13 Solution x2 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 6 0 10 1E+30 0 -12 8 12 1E+30 6 Constraints Cell $D$6 $D$7 $D$8 Name C1 Totals C2 Totals C3 Totals Final...
If you could sell 50 oz. of stabilizer at $2.25/oz, how would this affect profit? Adjustable Cells Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease Cell $B$5 Varia...
If you could sell 50 oz. of stabilizer at $2.25/oz, how would
this affect profit?
Adjustable Cells Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease Cell $B$5 Variable C $C$5 Variable P Name 100 350 0 1E+30 2 Constraints Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 200 500 50 Cell Name $D$11 Fragrance LHS 1600 $D$12 Intensifier LHS 1300 $D$13 Stabilizer LHS 350 1600 166.6666667 1E+30 50 1.5 1800 350 2
Adjustable Cells Final...
QUESTION 26 1 points Save Answer If the per unit profit associated with each pair of deluxe gloves is increase...
QUESTION 26 1 points Save Answer If the per unit profit associated with each pair of deluxe gloves is increased by $5, what is the impact on the optimal solution and on the total profit? Objective Cell (Max) Name Cell Original Value Final Value SBS4 Objective Function (Maximize Profit) 294 Variable Cells Cell Name Orginal Value Final Value Integer 24 Contin SBSI X11# of standard goes) X2 ( ะ of de luxe doves) SBS2 14 Contirn Constraints Cell Value Cell...
Below is the Sensitivity Report for Par Inc. In which departments would you not investigate whether...
Below is the Sensitivity Report for Par Inc. In which departments would you not investigate whether it was possible to increase the available hours? Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$14 Bags Produced Standard 540 0 10 3.5 3.7 $C$14 Bags Produced Deluxe 252 0 9 5.286 2.33 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $B$19 Cutting and Dyeing Hours Used 630 4.375 630 52.364...
3 Gepbab Production Company uses labor and raw material to produce three products. The resource requirements...
3 Gepbab Production Company uses labor and raw material to produce three products. The resource requirements and sales price for the three products are as shown in Table 10. Currently, 60 units of raw material are available. Up to 90 hours of labor can be purchased at Sl per hour. To maximize Gepbab profits, solve the following LP: max z = 6X1 + 8X2 + 13X3 - L s.t. 3X1 + 4X2 + 6X3 - LS 0 2X1 + 2X2...
How many footballs of each type should Supersport produce in order to increase to maximize the pr...
How many footballs of each type should Supersport produce in
order to increase to maximize the profit?
How much maximum profit it would make?
Overtime rates in the sewing department are $12 per hour. Which
of the following is correct?
Get overtime up to 100 hours as it increases net profit by $8
per hour.
Get as much overtime as possible as it increases net profit by
$8 per hour
Do not get overtime because it would not help in...
if you could only charge $18 for chairs, how is your optimal solution change? Variable Cells...
if you could only charge $18 for chairs, how is your optimal
solution change?
Variable Cells Allowable Increase Name Decision Variables X1 Decision Variables X2 Decision Variables X3 Final Value 2.0 0.0 8.0 Reduced Objective Cost Coefficient 0.0 60.0 -5.0 30.0 0.0 20.0 Allowable Decrease 20.0 4.0 5.0 1000000000000000000000000000000.0 2.5 5.0 Constraints Allowable Decrease Name Lumber bdft) Total Finishing (hrs) Total Carpentry (hrs) Total Tables demand (hrs) Final Value 24.0 20.0 8.0 0.0 Shadow Constraint Allowable Price R.H Side Increase...
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...
If the per unit profit associated with producing the standard glove were to increase by $3 a pair, what would the impact be on the total profit? Obje ctive Cell (Max) Original Value Final Value Cell Name $B54 Obje ctive Function (Maxim ize Profit) 218 Variable Cells Integer 18 Contin 16 Contin Original Value Final Value Cell Name $B$1 X1(#of standard gloves) $852 X2(#of deluxe gloves) Constraints Cell Cell Value Formula Status Slack Name $B$8 1) Constraint#1 (le ather cutting...
Figure 1 provides the Excel Sensitivity output for the following LP model. 10x1 + 8x2 Max Z= subject to: 31 +2x2 < 24 2x1 + 4x2 = 12 -2x1 + 2 x2 56 X1, X2 > 0 Variable Cells Cell Name $B$13 Solution x1 $C$13 Solution x2 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 6 0 10 1E+30 0 -12 8 12 1E+30 6 Constraints Cell $D$6 $D$7 $D$8 Name C1 Totals C2 Totals C3 Totals Final...
If you could sell 50 oz. of stabilizer at $2.25/oz, how would
this affect profit?
Adjustable Cells Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease Cell $B$5 Variable C $C$5 Variable P Name 100 350 0 1E+30 2 Constraints Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 200 500 50 Cell Name $D$11 Fragrance LHS 1600 $D$12 Intensifier LHS 1300 $D$13 Stabilizer LHS 350 1600 166.6666667 1E+30 50 1.5 1800 350 2
Adjustable Cells Final...
QUESTION 26 1 points Save Answer If the per unit profit associated with each pair of deluxe gloves is increased by $5, what is the impact on the optimal solution and on the total profit? Objective Cell (Max) Name Cell Original Value Final Value SBS4 Objective Function (Maximize Profit) 294 Variable Cells Cell Name Orginal Value Final Value Integer 24 Contin SBSI X11# of standard goes) X2 ( ะ of de luxe doves) SBS2 14 Contirn Constraints Cell Value Cell...
3 Gepbab Production Company uses labor and raw material to produce three products. The resource requirements and sales price for the three products are as shown in Table 10. Currently, 60 units of raw material are available. Up to 90 hours of labor can be purchased at Sl per hour. To maximize Gepbab profits, solve the following LP: max z = 6X1 + 8X2 + 13X3 - L s.t. 3X1 + 4X2 + 6X3 - LS 0 2X1 + 2X2...
How many footballs of each type should Supersport produce in
order to increase to maximize the profit?
How much maximum profit it would make?
Overtime rates in the sewing department are $12 per hour. Which
of the following is correct?
Get overtime up to 100 hours as it increases net profit by $8
per hour.
Get as much overtime as possible as it increases net profit by
$8 per hour
Do not get overtime because it would not help in...
if you could only charge $18 for chairs, how is your optimal
solution change?
Variable Cells Allowable Increase Name Decision Variables X1 Decision Variables X2 Decision Variables X3 Final Value 2.0 0.0 8.0 Reduced Objective Cost Coefficient 0.0 60.0 -5.0 30.0 0.0 20.0 Allowable Decrease 20.0 4.0 5.0 1000000000000000000000000000000.0 2.5 5.0 Constraints Allowable Decrease Name Lumber bdft) Total Finishing (hrs) Total Carpentry (hrs) Total Tables demand (hrs) Final Value 24.0 20.0 8.0 0.0 Shadow Constraint Allowable Price R.H Side Increase...
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