9. A company has three cement plants from which cement has to be transported to four distribution centres. With identical costs of production at the three plants, the only variable costs involved are transportation costs. The monthly demand at the four distribution centres and the distance from the plants to the distribution centres (in km) are given below:

The transportation charges are Rs 10 per tonne per km. Suggest optimal transportation schedule and indicate the total minimum transportation cost.
If, for certain reasons, route from plant C to distribution centre Xis closed down, will the transportation schedule change? If so, suggest the new schedule and effect on total cost.

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Distribution centres Monthly production Plants W X Y Z (tonnes) A 500 1,000 150 800 10,000 B 200 700 500 100 12,000 C 600 400 100 900 8,000 Monthly demand (tonnes) 9,000 9,000 10,000 4,000