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 :

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Table 1         

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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