10. A company has four factories manufacturing the same commodity, which are required to be transported to meet the demands in four warehouses. The supplies and demands as also the cost per transportation from factory to warehouse in rupees per unit of product are given in the following table:

(a) Derive an optimal strategy of transportation of goods from factories to warehouses and assess the optimal cost.

(b) If a new transporter agrees to transport goods from factory C to warehouse Wat a unit cost of Rs 50, analyse the impact of this on your current optimal solution.

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Warehouses Factory Supply X Y Z W (units) A 25 55 40 60 60 B 35 30 50 40 140 CD 36 45 26 66 150 D 35 30 41 50 50 Demand (units) 90 100 120 140