5. The data relating to production capacities of plants, orders from warehouses and freight costs for a company manufacturing consumer products are given below:

From the above information, determine the optimum distribution for minimising the total costs to make and ship the product to warehouses.

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Production capacities of plants Plant X Y Z Warehouse order sizes Warehouse P Q R S Unit cost (Rs) Capacities ('000 units) 12 20 10 16 15 25 Order size ('000 units) 15 18 5824 12 14