Solution of Ques 2
DRY ICE SUPPLY NEWYORK ATLANTA CHICAGO SAN DIEGO DEMAND DECISION VARIABLES SUPPLY NEWYORK ATLANTA CHICAGO SAN DIEGO
SOUTH 232 212 230 280 180000 SOUTH 0 180000 0 0
DEMAND MIDWEST EAST WEST FIXED CO CAPACITY FIXED CO CAPACITY 240 211 300 6000000 200000 10000000 400000 230 232 280 5500000 200000 9200000 400000 215 238 270 5600000 200000 9300000 400000 270 299 225 6100000 200000 10200000 400000 120000 110000 100000 DEMAND PLANT PLANT MIDWEST EAST WEST (1=OPEN0 (1=OPEN) 85000 110000 5000 1 0 20000 0 0 1 0 0 0 0 0 0 15000 0 95000 1 0
CONSTRAINTS SUPPLY NEWYORK ATLANTA CHICAGO SAN DIEGO
EXCESS Supply 0 0 0 90000
UNMET DEMAND
DEMAND SOUTH MIDWEST EAST WEST -2.54E-07 2.62E-10 -7.45E-07 2.53E-07
OBJECTIVE FUNCTION COST
130895028
SUPPLY N.A U.S 600 GERMANY 1300 JAPAN 2000 BRAZIL 1200 INDIA 2200 DEMAND 270
ALL THE THINGS ARE IN DOLLARS DEMAND S.A EUROPE JAPAN ASIA CAPACITY PRODUCTION 1200 1300 2000 1700 185 10000 1400 600 1400 1300 475 7530 2100 1400 300 900 50 16740 800 1400 2100 2100 200 7306 2300 1300 1000 800 80 9200 190 200 120 100
DECISION VARIABLE SUPPLY N.A S.A U.S 185 GERMANY 75 JAPAN 0 BRAZIL 10 INDIA 0
0 0 0 190 0
DEMAND PLANT EUROPE JAPAN ASIA (1=OPEN) 0 0 5.72E-09 1 200 70 20 1 0 50 0 1 0 0 5.72E-09 1 0 0 80 1
CONSTRAINTS SUPPLY EXCESS CAPACITY U.S -9.5E-08 GERMANY 110 JAPAN -9.5E-08 BRAZIL 0 INDIA -9.3E-08 N.A UNMET DEMAND
6.68E-07
OBJECTIVE FUNCTION COST 746276
S.A 6.68E-07
DEMAND EUROPE JAPAN 0
ASIA 0
0
STURDYFON
DEMAND ALLOCATION ALL COST ARE INCLUDED IN THE PRODUCTION MATRIX
production cost matrix supply EUROPE N AMERICA REST OF ASIA DEMAND DECISION VARIABLES supply EUROPE N AMERICA REST OF ASIA
CONSTRAINTS SUPPLY EUROPE N AMERICA S AMERICA
N,A
S,A 12.875 11.845 12.36 12
N,A
15.24 14.4 14.64 1
demand EUROPE
S,A 0 12 0
demand EUROPE NON EUROPE JAPAN 12.48 14.03 13.312 12.48 14.145 12.688 12.168 13.34 11.648 4 8 7
0 1 0
NON EUROPE JAPAN 8 0 0
0 0 7
NON EUROPE JAPAN 0 0
0
1 3 0
EXCESS CAPACITY 9.616671855 4.383328139 0 N,A
demand EUROPE
S,A
UNMET DEMAND
-5.96046E-09
OBJECTIVE EQUATION COST
455.9960001
SLEEKFON
0
DEMAND ALLOCATION ALL COST ARE INCLUDED IN THE PRODUCTION MATRIX
production cost matrix supply EUROPE N AMERICA S AMERICA DEMAND DECISION VARIABLES supply EUROPE N AMERICA S AMERICA
N,A
S,A 12.875 11.84 13.184 10
N,A
15.24 14.4 14.76 4
S,A 0 10 0
demand EUROPE NON EUROPE JAPAN 12.48 14.03 13.312 12.48 14.145 12.688 13.52 15.295 13.728 20 3 2
demand EUROPE NON EUROPE JAPAN 0 16 3 2 4 0 2 0 0
0 2 0
EXCESS CAPACITY
CONSTRAINTS SUPPLY EUROPE N AMERICA S AMERICA
0 0 8 N,A
UNMET DEMAND
S,A 0
OBJECTIVE EQUATION COST
demand EUROPE 0
0
NON EUROPE JAPAN 0
0
539.786
AFTER MERGER - SLEEKFON &STURDYFON supply EUROPE N AMERICA S AMERICA REST OF ASIA DEMAND(SUM) DECISION VARIABLES supply EUROPE N AMERICA S AMERICA REST OF ASIA CONSTRAINTS supply EUROPE N AMERICA S AMERICA REST OF ASIA
N,A
S,A 12.875 11.84 13.184 12.36 22
N,A
S,A 1.70299E-07 21.99999949 0 1.70299E-07
EUROPE 0 15 5 9.000001 0 0 0 0
S,A
UNMET DEMAND
1.70299E-07
OBJECTIVE FUNCTION COST
993.4219992
DEMAND EUROPE NON EUROPE JAPAN 0 0 0
WHEN ALL THE DUTIES ARE REDUCED TO ZERO STURDYFON
DEMAND NON EUROPE JAPAN 11 0 0 3.999999 0 7.31E-07 0 5
EXCESS CAPACITY 12.0000009 8.17856E-10 9.999999269 -3.75637E-09 N,A
D)
15.24 14.4 14.76 14.64 5
DEMAND EUROPE NON EUROPE JAPAN 12.48 14.03 13.312 12.48 14.145 12.688 13.52 15.295 13.728 12.168 13.34 11.648 24 11 9
DEMAND ALLOCATION
0
ALL COST ARE INCLUDED IN THE PRODUCTION MATRIX production cost matrix supply EUROPE N AMERICA REST OF ASIA DEMAND DECISION VARIABLES supply EUROPE N AMERICA REST OF ASIA
CONSTRAINTS SUPPLY EUROPE N AMERICA S AMERICA
N,A
S,A 12.5 11.5 12 12
N,A
12.7 12 12.2 1
demand EUROPE
S,A 0 12 0
demand EUROPE NON EUROPE JAPAN 12 12.2 12.8 12 12.3 12.2 11.7 11.6 11.2 4 8 7
0 1 0
NON EUROPE JAPAN 2 8 2 0 0 0
0 0 7
NON EUROPE JAPAN 0 0
0
EXCESS CAPACITY 9.450003882 4.549995829 -5.78824E-07 N,A
UNMET DEMAND
S,A 0
OBJECTIVE EQUATION COST
demand EUROPE 0
419.4000102
SLEEKFON
DEMAND ALLOCATION ALL COST ARE INCLUDED IN THE PRODUCTION MATRIX
production cost matrix supply EUROPE N AMERICA S AMERICA DEMAND DECISION VARIABLES supply EUROPE N AMERICA S AMERICA
N,A
S,A 12.5 11.5 12.8 10
N,A
12.7 12 12.3 4
demand EUROPE
S,A 10 0 0
demand EUROPE NON EUROPE JAPAN 12 12.2 12.8 12 12.3 12.2 13 13.3 13.2 20 3 2
4 0 0
NON EUROPE JAPAN 2 0 9 2 9 1
2 0 0
CONSTRAINTS SUPPLY EUROPE N AMERICA S AMERICA
EXCESS CAPACITY -4.92919E-09 8.000000005 0 N,A
S,A
UNMET DEMAND
0
OBJECTIVE EQUATION COST E)
demand EUROPE 0
NON EUROPE JAPAN 0 0
0
526.4
NO DUTIES ARE CHARGED THEN MERGED NETWORK CONFIGURATION STURDY FON &SLEEKFON
DEMAND ALLOCATION ALL COST ARE INCLUDED IN THE PRODUCTION MATRIX
production cost matrix supply EUROPE N AMERICA S AMERICA REST OF ASIA DEMAND DECISION VARIABLES supply EUROPE N AMERICA S AMERICA REST OF ASIA
CONSTRAINTS SUPPLY EUROPE N AMERICA S AMERICA REST OF ASIA
N,A
S,A 12.5 11.5 12.8 12 22
N,A
S,A 0 22 0 0
OBJECTIVE EQUATION COST
0 5 0 0
demand EUROPE NON EUROPE JAPAN 15 11 9 0 0 0 0 0
0 4 0 5
EXCESS CAPACITY 12 1.77872E-09 10 -3.40918E-09 N,A
UNMET DEMAND
12.7 12 12.3 12.2 5
demand EUROPE NON EUROPE JAPAN 12 12.2 12.8 12 12.3 12.2 13 13.3 13.2 11.7 11.6 11.2 24 11 9
demand EUROPE
S,A 0
919.8
0
0
NON EUROPE JAPAN 0
0
UCTION MATRIX CAPACITY REST OF ASIA AFRICA 15.5 15.5 15.25 15.875 13.42 14.75 3 1
20 20 10
PLANT REST OF ASIA AFRICA (1=OPEN) 0 1 1 0 0 1 3 0 1
REST OF ASIA
AFRICA 0
0
UCTION MATRIX CAPACITY REST OF ASIA AFRICA 15.5 15.5 15.25 15.875 16.47 16.875 2 1
20 20 10
PLANT REST OF ASIA AFRICA (1=OPEN) 0 1 1 2 0 1 0 0 1
REST OF ASIA
AFRICA 0
0
REST OF ASIA AFRICA CAPACITY 15.5 15.5 40 15.25 15.875 40 16.47 16.875 10 13.42 14.75 10 5 2
REST OF ASIA
AFRICA 0 0 0 5
REST OF ASIA
2 0 0 0
AFRICA 0
0
CAPACITY 1 1 1 1
UCTION MATRIX CAPACITY REST OF ASIA AFRICA 12.7 12.4 12.5 12.7 11 11.8 3 1
REST OF ASIA
AFRICA 0 0 3
REST OF ASIA
20 20 10
PLANT (1=OPEN) 1 1 0 1 0 1
AFRICA 0 -8.7E-07
UCTION MATRIX CAPACITY REST OF ASIA AFRICA 12.7 12.4 12.5 12.7 13.5 13.5 2 1
20 20 10
PLANT REST OF ASIA AFRICA (1=OPEN) 2 0 1 0 1 1 0 0 1
REST OF ASIA
AFRICA 0
0
UCTION MATRIX
REST OF ASIA AFRICA CAPACITY 12.7 12.4 40 12.5 12.7 40 13.5 13.5 10 11 11.8 10 5 2
REST OF ASIA
AFRICA 0 0 0 5
REST OF ASIA
2 0 0 0
AFRICA 0
0
PLANT (1=OPEN) 1 1 1 1
AFTER MERGER - SLEEKFON &STURDYFON DEMAND supply N,A S,A EUROPE NON EUROPE JAPAN REST OF ASIA EUROPE 12.875 15.24 12.48 14.03 13.312 15.5 N AMERICA 11.84 14.4 12.48 14.145 12.688 15.25 S AMERICA 13.184 14.76 13.52 15.295 13.728 16.47 REST OF ASIA 12.36 14.64 12.168 13.34 11.648 13.42 DEMAND(SUM) 22 6 24 13.2 9 15
DECISION VARIABLES supply N,A EUROPE N AMERICA S AMERICA REST OF ASIA
CONSTRAINTS supply EUROPE N AMERICA S AMERICA REST OF ASIA
S,A 0 0 22 4.400001 0 1.599999 0 0
EUROPE 24 0 0 0
DEMAND NON EUROPE JAPAN 13.2 0 0 0
0 9 0 0
REST OF ASIA 0.400000191 4.599999237 0 10.00000057
EXCESS CAPACITY -2E-07 1.44E-08 8.400001 -5.7E-07
N,A S,A UNMET DEMAND 3.5E-10
DEMAND EUROPE NON EUROPE JAPAN REST OF ASIA 0 -8.9E-09 0 -3.9E-08 0
OBJECTIVE FUNCTION COST 1194.114
supply EUROPE N AMERICA S AMERICA REST OF ASIA DEMAND(SUM)
N,A
DECISION VARIABLES supply N,A EUROPE
S,A 12.5 11.5 12.8 12 22
12.7 12 12.3 12.2 6
EUROPE NON EUROPE JAPAN REST OF ASIA 12 12.2 12.8 12.7 12 12.3 12.2 12.5 13 13.3 13.2 13.5 11.7 11.6 11.2 11 24 13.2 9 15
DEMAND S,A EUROPE NON EUROPE JAPAN 0 2.38E-08 24 13.2
0
REST OF ASIA 0.4
N AMERICA S AMERICA REST OF ASIA
CONSTRAINTS supply EUROPE N AMERICA S AMERICA REST OF ASIA
UNMET DEMAND
22 0 0
4.4 1.6 0
0 0 0
0 0 0
9 0 0
4.600000023 0 10
EXCESS CAPACITY -1.9E-08 -2.4E-08 8.4 0 N,A S,A 2.86E-07
OBJECTIVE FUNCTION COST 1086.66
DEMAND EUROPE NON EUROPE JAPAN 0 4.37E-09 0
REST OF ASIA 0 -2.31128E-08
AFRICA CAPACITY 15.5 40 15.875 40 16.875 10 14.75 10 2.4
AFRICA 2.4 0 0 0
CAPACITY 1 1 1 1
AFRICA 0
AFRICA CAPACITY 12.4 40 12.7 40 13.5 10 11.8 10 2.4
AFRICA 2.4
CAPACITY 1
0 0 0
AFRICA 0
1 1 1
SOLUTION 6 DEMAND
COMPONUND GROWTH
1 2 3 4 5
20%
NORTH WEST SOUTH EAST 100000 150000 150000 50000 TOTAL 120000 180000 180000 60000 540000 144000 216000 216000 72000 648000 172800 259200 259200 86400 777600 207360 311040 311040 103680 933120 248832 373248 373248 124416 1119744
FOR FIRST YEAR DEMAND SUPPLY NORTH EAST WEST SOUTH FIXED COST CAPACITY CHENNAI 20 19 17 15 4000000000 300000 MUMBAI 17 20 15 17 4000000000 300000 DEMAND 120000 180000 180000 60000
DECISION VARIABLES DEMAND PLANT SUPPLY NORTH EAST WEST SOUTH (1=OPEN) CHENNAI 0 180000 0 60000 1 MUMBAI 120000 0 180000 0 1
CONSTRAINTS SUPPLY EXCESS CAPACITY CHENNAI 60000 MUMBAI 0 UNMET NORTH DEMAND
EAST 0
OBJECTIVE FUNCTION COST
8009060000
DEMAND WEST SOUTH 0 0 0
Kentuchy Pennsyivania Demand
Decision variables Supply Region
Northeast Southeast Midwest South West Annual F.C. 185 180 175 175 200 150 170 190 180 200 220 200 700000 400000 400000 300000 600000
Kentuchy Pennsyivania
Demand Region Northeast Southeast Midwest South West Plants 394999.9 120000.4 120000.4 70000.4 294999.9 1.000001 305000.1 279999.6 279999.6 229999.6 305000.1 0.93333267
Constraints Supply region Kentuchy Pennsyivania
Excess capacity 0 0
Northeast Unmet demand
Objective Function Cost
Kentuchy Pennsyivania N. Carolina California Demand
Decision variables Supply Region Kentuchy Pennsyivania N. Carolina
Southeast Midwest South 0 0 0
West 0
0
455475321
Northeast Southeast Midwest South West Annual F.C. 185 180 175 175 200 150 170 190 180 200 220 200 180 180 185 185 215 150 220 220 195 195 175 150 1050000 600000 600000 450000 900000
Demand Region Northeast Southeast Midwest South 271590.871 180303.07 171212.1 145833.4 271590.951 143939.38 146969.7 97348.44 265530.344 150000.03 143939.4 106439.4
West Plants 231060.6 1 212878.8 0.58181815 215909.1 0.58787885
California
Constraints Supply region Kentuchy Pennsyivania N. Carolina California
241287.834 125757.52 137878.8 100378.8 240151.6 0.56363634
Excess capacity 0 0 0 0
Northeast Unmet demand
Objective Function Cost
Southeast Midwest South 0 0 0
687443612
West 0
0
Supply 1000000 1500000
Supply 1000000 1500000 1500000 1500000
