11. The feasibility region of an LP problem in variable x and y is given by the following constraints, in addition to the non- negativity constraints.
y ≤ 60; x ≤ 90; x + y ≤ 70
The numbers of corner point feasible solutions for this problem are
y ≤ 60; x ≤ 90; x + y ≤ 70
The numbers of corner point feasible solutions for this problem are
12. A project network comprises five activities as shown below. The activity durations. in days. are as indicated. Crashing of any activity costs Rs. 1000 per day. If the project is crashed to the shortest possible duration without changing the critical path the total crashing coso in Rs. is
13. The failure and the repair rates of a shovel are 0.06 hr-1 and 0.04 hr-1 respectively. The availability of the shovel in percentage is
14. In a PERT network, the activities on the critical path are a, b and c. The standard deviations of the durations of these activities are 2, 2 and 1 respectively. The variance of the project duration is
15. 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
| Destinations | ||||
| X | Y | Z | ||
| Locations | A | 20 | 70 | 40 |
| B | 30 | 30 | 10 | |
| C | 50 | 40 | 70 | |
| D | 10 | 60 | 20 | |
16. The solution of the following system of linear equations is
x + 4y + 3z = 0
3x + 5y + 2z = 0
8x + 10y + 12z = 0
x + 4y + 3z = 0
3x + 5y + 2z = 0
8x + 10y + 12z = 0