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A mining machinery company has four plants at locations A, B, C, and D and three warehouses at destinations X, Y and Z. The number of machine units available at the plants A, B, C and Dare 5, 8, 7 and 14 respectively. The demands at X, Y and Z are 7, 9 and 18 respectively. The unit costs of transportation in rupees as follows:
Destinations
X Y Z
Locations A 20 70 40
B 30 30 10
C 50 40 70
D 10 60 20
The total number of basic variables obtained based on the initial basic feasible solution is

A. 3

B. 4

C. 6

D. 7

Answer: Option C


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