Download - Kamdhenu Dairy_B5 (2)
-
7/27/2019 Kamdhenu Dairy_B5 (2)
1/25
x1 x2 x3 x4 x5
Decision variables
FA Milk +
Butter
FA Milk +
Ghee SMP + Butter SMP + Ghee WMP + Butter
0 0 0 0 5.09
Objective Function
Coefficients 503 448 544 355 910
Constraints
Butter 0.062 0.048 0.992 0.756 0.606
Ghee 0 0.048 0 0.756 0
Milk powder 0 0 1 1 1.449901768
Baby food 0 0 0 0 0
Cheese 0 0 0 0 0
Raw Milk Supply-
Summer 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
2/25
x6 x7 x8 x9 x10 x11 x12
WMP + Ghee
Baby food +
Butter
Baby food +
Ghee
Cheese +
Butter
Cheese +
Ghee
Standardized
Milk + Butter
Standardized
Milk + Ghee
0 4.98 0 1.83 0 0 0
745 865 633 1833 1610 759 632
0.448 0.696 0.529 0.56 0.426 0.681 0.519
0.448 0 0.529 0 0.426 0 0.519
1.449901768 0 0 0 0 0 0
0 1 1 0 0 0 0
0 0 0 1 1 0 0
1 1 1 1 1 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
3/25
12293.99
RHS
7.57542
-
7/27/2019 Kamdhenu Dairy_B5 (2)
4/25
Decision variables
FA Milk +
Butter
FA Milk +
Ghee SMP + Butter SMP + Ghee
WMP +
Butter
Raw milk 3.903424879 0 0 0 5.09
Objective Function
Coefficients 503 448 544 355 910
Constraints
Butter 0.062 0.048 0.992 0.756 0.606
Ghee 0 0.048 0 0.756 0
Milk powder 0 0 1 1 1.449901768
Baby food 0 0 0 0 0
Cheese 0 0 0 0 0
Raw Milk Supply-Summer 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
5/25
WMP + Ghee
Baby food +
Butter
Baby food +
Ghee
Cheese +
Butter
Cheese +
Ghee
Standardized
Milk + Butter
Standardized
Milk + Ghee
0 5.36 0 1.83 0 2.816575121 0
745 865 633 1833 1610 759 632
0.448 0.696 0.529 0.56 0.426 0.681 0.519
0.448 0 0.529 0 0.426 0 0.519
1.449901768 0 0 0 0 0 0
0 1 1 0 0 0 0
0 0 0 1 1 0 0
1 1 1 1 1 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
6/25
16536
16723.89 16723
RHS
10
-
7/27/2019 Kamdhenu Dairy_B5 (2)
7/25
Decision variables
FA Milk +
Butter
FA Milk +
Ghee SMP + Butter SMP + Ghee
WMP +
Butter
7.595705894 0 0 0 2.474294106
Objective Function
Coefficients 503 448 544 355 910
Constraints
Butter 0.062 0.048 0.992 0.756 0.606
Ghee 0 0.048 0 0.756 0
Milk powder 0 0 1 1 1.449901768
Baby food 0 0 0 0 0
Cheese 0 0 0 0 0
Raw Milk Supply-Summer 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
8/25
WMP + Ghee
Baby food +
Butter
Baby food +
Ghee
Cheese +
Butter
Cheese +
Ghee
Standardized
Milk + Butter
Standardized
Milk + Ghee
0 0 0 1.83 0 0 0
745 865 633 1833 1610 759 632
0.448 0.696 0.529 0.56 0.426 0.681 0.519
0.448 0 0.529 0 0.426 0 0.519
1.449901768 0 0 0 0 0 0
0 1 1 0 0 0 0
0 0 0 1 1 0 0
1 1 1 1 1 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
9/25
9426.638
RHS
2.995156
-
7/27/2019 Kamdhenu Dairy_B5 (2)
10/25
Decision variables
FA Milk +
Butter
FA Milk +
Ghee SMP + Butter SMP + Ghee
WMP +
Butter
7.595705894 0 0 0 5.09
Objective Function
Coefficients 503 448 544 355 910
Constraints
Butter 0.062 0.048 0.992 0.756 0.606
Ghee 0 0.048 0 0.756 0
Milk powder 0 0 1 1 1.449901768
Baby food 0 0 0 0 0
Cheese 0 0 0 0 0
Raw Milk Supply-Summer 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
11/25
WMP + Ghee
Baby food +
Butter
Baby food +
Ghee
Cheese +
Butter
Cheese +
Ghee
Standardized
Milk + Butter
Standardized
Milk + Ghee
0 4.484294106 0 1.83 0 0 0
745 865 633 1833 1610 759 632
0.448 0.696 0.529 0.56 0.426 0.681 0.519
0.448 0 0.529 0 0.426 0 0.519
1.449901768 0 0 0 0 0 0
0 1 1 0 0 0 0
0 0 0 1 1 0 0
1 1 1 1 1 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
12/25
15685.84
RHS
7.701342
-
7/27/2019 Kamdhenu Dairy_B5 (2)
13/25
Units of milk allocated to
produce FA Milk + Butter
Units of milk allocated to
produce WMP + Butter
Units of milk allocated to
produce Cheese + Butter
7.595705894 2.474294106 1.83
Units of milk allocated to
produce FA Milk + Butter
Units of milk allocated to
produce WMP + Butter
Units of milk allocated to
produce Baby food + Butter
7.595705894 5.09 4.484294106
Cheese should not be dropped from the product line since it is one of the profitable items both i
Profits difference Actual commitment
difference in summer 2867.352299 75000
difference in winter 1038.048765
winter
real supply 3.903424879
in litres 38542.41725
less by 36457.58275
penalty 2916.60662 losspenalty is greater than the excess profit earned in winter ,therfore should not commit 75000 litre
It should commit 38542.41725
commiting 3.903424879 units of FA milk in the summer as well
loss in contribution 1413.039806
penalty 3083.39338
zero commitment can also wor
Removing butter churning and powder drying capacity(exhibit
Before
summer without Contractual O 12293.99
winter without Contractual Obli 16723.89
summer with Contractual Oblig 9426.638
winter with Contractual Obligat 15685.84447
Ideal allocation during Summer
Ideal allocation during Winter
Also the shadow price of FA Milk is negative in summers and zero in winters. Hence, Kamdhenu
-
7/27/2019 Kamdhenu Dairy_B5 (2)
14/25
Units of milk allocated to
produce Cheese + Butter
1.83
summers and winters.
summer
real suppl 0
in litres 0
less by 75000
1878.557855 penalty 6000 loss 3132.648penalty is greater than the excess profit earned insummer ,therfore
summer c 0
,Table 1)
After difference
12518.09 224.1
18979.09 2255.2 1578.167
9426.637701 0 134.5287
15887.6377 201.7932
iary would be better off not
-
7/27/2019 Kamdhenu Dairy_B5 (2)
15/25
should not commit 75000 litres
-
7/27/2019 Kamdhenu Dairy_B5 (2)
16/25
x1 x2 x3 x4 x5 x6 x7 x8
Decision
variables
FA Milk +
Butter
FA Milk +
Ghee
SMP +
Butter
SMP +
Ghee
WMP +
Butter
WMP +
Ghee
Baby
food +
Butter
Baby
food +
Ghee
3.903425 0 0 0 5.09 0 1.076575 0
Objective
Function
Coefficien
ts 503 448 544 355 910 745 865 633
Constraints
Butter 0.062 0.048 0.992 0.756 0.606 0.448 0.696 0.529
Ghee 0 0.048 0 0.756 0 0.448 0 0.529
Milk powd 0 0 1 1 1.449902 1.449902 0 0
Baby food 0 0 0 0 0 0 1 1
Cheese 0 0 0 0 0 0 0 0
Raw Milk
Supply-
Summer 1 1 1 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
17/25
x9 x10 x11 x12
Cheese +
Butter
Cheese +
Ghee
Standardi
zed Milk +
Butter
Standardi
zed Milk
+ Ghee
1.83 0 0 0
1833 1610 759 632 10880.95
RHS
0.56 0.426 0.681 0.519 5.100649
-
7/27/2019 Kamdhenu Dairy_B5 (2)
18/25
x1 x2 x3 x4 x5 x6 x7 x8
Decision
variables
FA Milk +
Butter
FA Milk +
Ghee
SMP +
Butter
SMP +
Ghee
WMP +
Butter
WMP +
Ghee
Baby
food +
Butter
Baby
food +
Ghee
0 0 0 0 10.07 0 0 0
Objective
Function
Coefficien
ts 503 448 544 355 910 745 865 633
Constraints
Butter 0.062 0.048 0.992 0.756 0.606 0.448 0.696 0.529
Ghee 0 0.048 0 0.756 0 0.448 0 0.529
Milk powd 0 0 1 1 1.449902 1.449902 0 0
Baby food 0 0 0 0 0 0 1 1
Cheese 0 0 0 0 0 0 0 0
Raw Milk
Supply-
Summer 1 1 1 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
19/25
x9 x10 x11 x12
Cheese +
Butter
Cheese +
Ghee
Standardi
zed Milk +
Butter
Standardi
zed Milk
+ Ghee
1.83 0 0 0
1833 1610 759 632 12518.09
RHS
0.56 0.426 0.681 0.519 7.12722
-
7/27/2019 Kamdhenu Dairy_B5 (2)
20/25
Decision
variables
FA Milk +
Butter
FA Milk +
Ghee
SMP +
Butter
SMP +
Ghee
WMP +
Butter
WMP +
Ghee
Baby
food +
Butter
Baby
food +
Ghee
Raw milk 0 0 0 0 17.17 0 0 0
Objective
Function
Coefficien
ts 503 448 544 355 910 745 865 633
Constraints
Butter 0.062 0.048 0.992 0.756 0.606 0.448 0.696 0.529
Ghee 0 0.048 0 0.756 0 0.448 0 0.529
Milk powd 0 0 1 1 1.449902 1.449902 0 0
Baby food 0 0 0 0 0 0 1 1
Cheese 0 0 0 0 0 0 0 0
Raw Milk
Supply-
Summer 1 1 1 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
21/25
Cheese +
Butter
Cheese +
Ghee
Standardi
zed Milk +
Butter
Standardi
zed Milk
+ Ghee
1.83 0 0 0
16536
1833 1610 759 632 18979.09 16723
RHS
0.56 0.426 0.681 0.519 11.42982
-
7/27/2019 Kamdhenu Dairy_B5 (2)
22/25
Decision
variables
FA Milk +
Butter
FA Milk +
Ghee
SMP +
Butter
SMP +
Ghee
WMP +
Butter
WMP +
Ghee
Baby
food +
Butter
Baby
food +
Ghee
7.595706 0 0 0 2.474294 0 0 0
Objective
Function
Coefficien
ts 503 448 544 355 910 745 865 633
Constraints
Butter 0.062 0.048 0.992 0.756 0.606 0.448 0.696 0.529
Ghee 0 0.048 0 0.756 0 0.448 0 0.529
Milk powd 0 0 1 1 1.449902 1.449902 0 0
Baby food 0 0 0 0 0 0 1 1
Cheese 0 0 0 0 0 0 0 0
Raw Milk
Supply-
Summer 1 1 1 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
23/25
Cheese +
Butter
Cheese +
Ghee
Standardi
zed Milk +
Butter
Standardi
zed Milk
+ Ghee
1.83 0 0 0
1833 1610 759 632 9426.638
RHS
0.56 0.426 0.681 0.519 2.995156
-
7/27/2019 Kamdhenu Dairy_B5 (2)
24/25
Decision
variables
FA Milk +
Butter
FA Milk +
Ghee
SMP +
Butter
SMP +
Ghee
WMP +
Butter
WMP +
Ghee
Baby
food +
Butter
Baby
food +
Ghee
7.595706 0 0 0 9.574294 0 0 0
Objective
Function
Coefficien
ts 503 448 544 355 910 745 865 633
Constraints
Butter 0.062 0.048 0.992 0.756 0.606 0.448 0.696 0.529
Ghee 0 0.048 0 0.756 0 0.448 0 0.529
Milk powd 0 0 1 1 1.449902 1.449902 0 0
Baby food 0 0 0 0 0 0 1 1
Cheese 0 0 0 0 0 0 0 0
Raw Milk
Supply-
Summer 1 1 1 1 1 1 1 1
FA Milk 1 1
-
7/27/2019 Kamdhenu Dairy_B5 (2)
25/25
Cheese +
Butter
Cheese +
Ghee
Standardi
zed Milk +
Butter
Standardi
zed Milk
+ Ghee
1.83 0 0 0
1833 1610 759 632 15887.64
RHS
0.56 0.426 0.681 0.519 7.297756