1.        The following data relating to production capacities of plants, order from warehouses and freight costs for the company manufacturing consumer products is given below :
Table 1 Â Â Â Â Â Â Â Â
Plant |
Unit Production cost (`) |
Production Capacity (‘000 units) |
X |
12 |
20 |
Y |
10 |
16 |
Z |
15 |
25 |
                      Table 2                                            Table 3 Freight Cost ` / Unit
Warehouse |
Order Size (‘000 units) |
 |
 |
P |
Q |
R |
S |
P |
15 |
|
X |
3 |
1 |
2 |
4 |
Q |
18 |
|
Y |
6 |
4 |
3 |
2 |
R |
12 |
|
Z |
4 |
5 |
7 |
3 |
S |
14 |
|
|
|
|
|
|
From the above information, determine the optimal shipping schedule.
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