1. For the following transportation problem, find Initial Solution by NWCR Method. Also find optimal solution by modifies distribution method.
|
|
D1 |
D2 |
D3 |
D4 |
Capacity |
|
P1 |
10 |
12 |
9 |
6 |
70 |
|
P2 |
7 |
3 |
7 |
7 |
60 |
|
P3 |
6 |
6 |
9 |
11 |
90 |
|
Demand |
60 |
40 |
60 |
20 |
|
(Ans : `1100)
2. A company has three plants A, B, C. It supplies to 4 warehouses W1, W2, W3 and W4. Cost per unit and demand – supply data is as given below. Find optimal solution by modified distribution method.
|
WH |
W1 |
W2 |
W3 |
W4 |
Capacity |
| Plant | |||||
|
A |
100 |
300 |
140 |
120 |
500 |
|
B |
160 |
140 |
180 |
20 |
600 |
|
C |
30 |
174 |
158 |
162 |
400 |
|
Demand |
200 |
700 |
500 |
100 |
|
(Ans : `1,82,800)
3. A company has 3 warehouses A, B and C. It supplies to 4 markets P, Q, R and S. The profit per unit is given in ` per unit. Find optimal solution.
|
|
P |
Q |
R |
S |
|
A |
48 |
72 |
24 |
100 |
|
B |
32 |
28 |
40 |
72 |
|
C |
56 |
12 |
44 |
80 |
|
Supply |
Demand |
|
A : 200 |
P : 180 |
|
B : 500 |
Q : 320 |
|
C : 300 |
R : 100 |
|
|
S : 400 |
(Ans : `61,600)
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