Project Product Mix

7/30/2019 Project Product Mix

1/26

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


2/26

d

RHS Units Leftover

480,000 40000

####### 0

11000 0

22000 4600

2070000

next month


3/26

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


4/26

e


5/26

Microsoft Excel 14.0 Sensitivity Report

Worksheet: [Group Project Product mix.xlsx]As is production (2)


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


6/26

Allowable

Decrease

1E+300.6

Allowable

Decrease

40000779996.16

4333.288889

12399.9616800


7/26


X1 Number of 60x40 lungis to be proX2 Number of 40x40 shirtings to be


Units 11000 9600

9900 5760


Constraint LHS


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


8/26

ducedroduced

Type RHS Units Leftover


9/26


Worksheet: [Group Project Product mix.xlsx]Shirtings high prod (2)


Result: Solver found a solution. All Constraints and optimality conditions are satisf

Solver Engine

Engine: Simplex LP


Solver Options

Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assu




Variable Cells



Constraints

Cell Name Cell Value Formula Status



10/26

ied.

e NonNegative

Slack

213331.55560

4333.2888892000.026667

133330


11/26


Worksheet: [Group Project Product mix.xlsx]Shirtings high prod (2)


Variable Cells



$B$8 Units X1 6666.711111 0 0.9 0.54000576$C$8 Units X2 19999.97333 0 0.6 0.9

Constraints



$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


12/26

Allowable

Decrease

0.540.2250015

Allowable

Decrease

213331.5556705880.35994333.288889

2000.0266671E+30

500.0073333


13/26


X1 Number of 60x40 lungis to be prodX2 Number of 40x40 shirtings to be p


Units 6667 20000

Profit per product 6000 12000


Constraint LHS





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


To be prod


14/26

ucedoduced

Type RHS Units


15/26


Worksheet: [Group Project Product mix.xlsx]Wages suggestion (2)


Result: Solver found a solution. All Constraints and optimality conditions are satisfi

Solver Engine

Engine: Simplex LP


Solver Options

Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic ScalingMax Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assum




Variable Cells



Constraints

Cell Name Cell Value Formula Status



16/26

ed.

e NonNegative

Slack

146666.0741299996.2667

2666.6518525999.971556

00

7667


17/26


Worksheet: [Group Project Product mix.xlsx]Wages suggestion (2)


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


18/26

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


19/26




Units 8333 16000



Constraint LHS





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


To be prod


20/26

ucedoduced

Type RHS Units


21/26


22/26

ative


23/26


Worksheet: [Group Project Product mix.xlsx]Chgd production plan (2)


Variable Cells



$B$8 Units X1 1800 0 0.9 0.1$C$8 Units X2 22000 0 0.6 1E+30

Constraints



$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


24/26

Allowable

Decrease

0.90.06

Allowable

Decrease

408000920009200

126251E+3018000

806.674


25/26




Units 1800 22000



Constraint LHS





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

.


To be prod


26/26

ucedoduced

Type RHS Units

Documents

Project Product Mix