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Mining Engineering · Q15

Mine System Engineering

Engineering and GATE · Mining Engineering · question 15

Q15

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 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
Answer
D.
7

Answer: Option C

Solution

Answer: Option C
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