project product mix
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Definition Decision Variable
X1 Number of 60x40 lungis to be producedX2 Number of 40x40 shirtings to be produc
Decision Variables X1 X2
Units 11000 17400
Total ProfitObjective Function 0.9 0.6 20340
Constraint LHS Type
Yarn comsumption for Lungis 40 440000
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d
RHS Units Leftover
480,000 40000
####### 0
11000 0
22000 4600
2070000
next month
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Microsoft Excel 14.0 Answer Report
Worksheet: [Group Project Product mix.xlsx]As is production (2)
Report Created: 3/12/2012 10:23:04 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: Simplex LP
Solution Time: 0.047 Seconds.Iterations: 2 Subproblems: 0
Solver Options
Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegati
Objective Cell (Max)
Cell Name Original Value Final Value
$D$11 Objective Function Total Profit 15660 15660
Variable Cells
Cell Name Original Value Final Value Integer
$B$8 Units X1 11000 11000 Contin$C$8 Units X2 9600 9600 Contin
Constraints
Cell Name Cell Value Formula Status Slack
$D$14 Yarn comsumption for Lungis LHS 440000 $D$14
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e
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Microsoft Excel 14.0 Sensitivity Report
Worksheet: [Group Project Product mix.xlsx]As is production (2)
Report Created: 3/12/2012 10:23:04 AM
Variable Cells
Final Reduced Objective Allowable
Cell Name Value Cost Coefficient Increase
$B$8 Units X1 11000 0 0.9 1E+30$C$8 Units X2 9600.0384 0 0.6 1E+30
Constraints
Final Shadow Constraint Allowable
Cell Name Value Price R.H. Side Increase
$D$14 Yarn comsumption for Lungis LHS 440000 0 480000 1E+30$D$15 Yarn comsumption for Shirtings LH 1620003.84 0 2400000 1E+30$D$16 Max metres of lungis LHS 11000 -0.54000576 11000 1000
$D$17 Max metres of shirtings LHS 9600.0384 0 22000 1E+30$D$18 Loom days LHS 3000 7.2000288 3000 649.9942
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Allowable
Decrease
1E+300.6
Allowable
Decrease
40000779996.16
4333.288889
12399.9616800
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Definition Decision Variable
X1 Number of 60x40 lungis to be proX2 Number of 40x40 shirtings to be
Decision Variables X1 X2
Units 11000 9600
9900 5760
Total ProfitObjective Function 0.9 0.6 15660
Constraint LHS
Yarn comsumption for Lungis 40 440000
Yarn comsumption for Shirtings 60 100 1620004
Max metres of lungis 1 11000
Max metres of shirtings 1 9600
Loom days 0.2 0.083333 3000
Restricting the shirts to 800 loom days, the lungis have utilize 2200 loom daysFor lungis 5m per loom days, the max 11000 m can be produced. Which require 2200 loom daIn 800 loom days we can produce 800*12 = 9600m
Product mix at Panchtantra corporation
To be pro
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ducedroduced
Type RHS Units Leftover
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Microsoft Excel 14.0 Answer Report
Worksheet: [Group Project Product mix.xlsx]Shirtings high prod (2)
Report Created: 3/12/2012 10:23:33 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisf
Solver Engine
Engine: Simplex LP
Solution Time: 0.047 Seconds.Iterations: 3 Subproblems: 0
Solver Options
Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assu
Objective Cell (Max)
Cell Name Original Value Final Value
$D$11 Objective Function Total Profit 18000 18000
Variable Cells
Cell Name Original Value Final Value Integer
$B$8 Units X1 6667 6667 Contin$C$8 Units X2 20000 20000 Contin
Constraints
Cell Name Cell Value Formula Status
$D$14 Yarn comsumption for Lungis LHS 266668 $D$14
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ied.
e NonNegative
Slack
213331.55560
4333.2888892000.026667
133330
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Microsoft Excel 14.0 Sensitivity Report
Worksheet: [Group Project Product mix.xlsx]Shirtings high prod (2)
Report Created: 3/12/2012 10:23:33 AM
Variable Cells
Final Reduced Objective Allowable
Cell Name Value Cost Coefficient Increase
$B$8 Units X1 6666.711111 0 0.9 0.54000576$C$8 Units X2 19999.97333 0 0.6 0.9
Constraints
Final Shadow Constraint Allowable
Cell Name Value Price R.H. Side Increase
$D$14 Yarn comsumption for Lungis LHS 266668.4444 0 480000 1E+30$D$15 Yarn comsumption for Shirtings LH 2400000 0.003000016 2400000 150002.2$D$16 Max metres of lungis LHS 6666.711111 0 11000 1E+30
$D$17 Max metres of shirtings LHS 19999.97333 0 22000 1E+30$D$18 Shirt production rate higher LHS 13333.26222 0 0 13333.26222$D$19 Loom days LHS 3000 3.5999952 3000 649.9942
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Allowable
Decrease
0.540.2250015
Allowable
Decrease
213331.5556705880.35994333.288889
2000.0266671E+30
500.0073333
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Definition Decision Variable
X1 Number of 60x40 lungis to be prodX2 Number of 40x40 shirtings to be p
Decision Variables X1 X2
Units 6667 20000
Profit per product 6000 12000
Total ProfitObjective Function 0.9 0.6 18000
Constraint LHS
Yarn comsumption for Lungis 40 266668
Yarn comsumption for Shirtings 60 100 2400000
Max metres of lungis 1 6667
Max metres of shirtings 1 20000
Shirt production rate higher -1 1 13333Loom days 0.2 0.083333 3000
Here lungis and shirt can be produced together. But shirts should be more than lungis
Product mix at Panchtantra corporation
To be prod
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ucedoduced
Type RHS Units
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Microsoft Excel 14.0 Answer Report
Worksheet: [Group Project Product mix.xlsx]Wages suggestion (2)
Report Created: 3/12/2012 10:24:37 AM
Result: Solver found a solution. All Constraints and optimality conditions are satisfi
Solver Engine
Engine: Simplex LP
Solution Time: 0.047 Seconds.Iterations: 3 Subproblems: 0
Solver Options
Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assum
Objective Cell (Max)
Cell Name Original Value Final Value
$D$11 Objective Function Total Profit 17100 17100
Variable Cells
Cell Name Original Value Final Value Integer
$B$8 Units X1 8333 8333 Contin$C$8 Units X2 16000 16000 Contin
Constraints
Cell Name Cell Value Formula Status
$D$14 Yarn comsumption for Lungis LHS 333334 $D$14
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ed.
e NonNegative
Slack
146666.0741299996.2667
2666.6518525999.971556
00
7667
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Microsoft Excel 14.0 Sensitivity Report
Worksheet: [Group Project Product mix.xlsx]Wages suggestion (2)
Report Created: 3/12/2012 10:24:38 AM
Variable Cells
Final Reduced Objective
Cell Name Value Cost Coefficient
$B$8 Units X1 8333.348148 0 0.9$C$8 Units X2 16000.02844 0 0.6
Constraints
Final Shadow Constraint
Cell Name Value Price R.H. Side
$D$14 Yarn comsumption for Lungis LHS 333333.9259 0 480000$D$15 Yarn comsumption for Shirtings LH 2100003.733 0 2400000$D$16 Max metres of lungis LHS 8333.348148 0 11000
$D$17 Max metres of shirtings LHS 16000.02844 0 22000$D$18 Wages clause LHS -2.91038E-11 -0.010000084 0$D$19 Loom days LHS 3000 5.700010133 3000$D$20 Shirt production rate higher LHS 7666.680296 0 0
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Allowable Allowable
Increase Decrease
0.54000576 2.0521E+30 0.2250015
Allowable Allowable
Increase Decrease
1E+30 146666.07411E+30 299996.26671E+30 2666.651852
1E+30 5999.971556121764.8491 89998.6428.5653333 30007666.680296 1E+30
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Definition Decision Variable
X1 Number of 60x40 lungis to be prodX2 Number of 40x40 shirtings to be p
Decision Variables X1 X2
Units 8333 16000
Profit per product 7500 9600
Total ProfitObjective Function 0.9 0.6 17100
Constraint LHS
Yarn comsumption for Lungis 40 333334
Yarn comsumption for Shirtings 60 100 2100004
Max metres of lungis 1 8333
Max metres of shirtings 1 16000
Wages clause 24 -12.5 0Loom days 0.2 0.083333 3000
Shirt production rate higher -1 1 7667
By increasing the waiges from 1.5 to 1.71 for the shirts, and not chnaging the waiges for l
Average wage should be given 20.5.
After getting shirts
Product mix at Panchtantra corporation
To be prod
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ucedoduced
Type RHS Units
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ative
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Microsoft Excel 14.0 Sensitivity Report
Worksheet: [Group Project Product mix.xlsx]Chgd production plan (2)
Report Created: 3/12/2012 10:25:00 AM
Variable Cells
Final Reduced Objective Allowable
Cell Name Value Cost Coefficient Increase
$B$8 Units X1 1800 0 0.9 0.1$C$8 Units X2 22000 0 0.6 1E+30
Constraints
Final Shadow Constraint Allowable
Cell Name Value Price R.H. Side Increase
$D$14 Yarn comsumption for Lungis LHS 72000 0 480000 1E+30$D$15 Yarn comsumption for Shirtings LH 2308000 0 2400000 1E+30$D$16 Max metres of lungis LHS 1800 0 11000 1E+30
$D$17 Max metres of shirtings LHS 22000 0.06 22000 1437.5$D$18 Shirt production rate higher LHS 20200 0 0 20200$D$19 Maximum cost for wage & Yarn LHS 150000 0.09 150000 15333.33333$D$20 Loom days LHS 2193.326 0 3000 1E+30
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Allowable
Decrease
0.90.06
Allowable
Decrease
408000920009200
126251E+3018000
806.674
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Definition Decision Variable
X1 Number of 60x40 lungis to be prodX2 Number of 40x40 shirtings to be p
Decision Variables X1 X2
Units 1800 22000
Profit per product 1620 13200
Total ProfitObjective Function 0.9 0.6 14820
Constraint LHS
Yarn comsumption for Lungis 40 72000
Yarn comsumption for Shirtings 60 100 2308000
Max metres of lungis 1 1800
Max metres of shirtings 1 22000
Shirt production rate higher -1 1 20200Maximum cost for wage & Yarn 10 6 150000
Loom days 0.2 0.083333 2193.326
Assuming the initial production plan
.
Product mix at Panchtantra corporation
To be prod
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ucedoduced
Type RHS Units
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