Consider the following transportation problem :
|
→ Warehouse |
|||||
|
↓ Factory |
|
W1 |
W2 |
W3 |
Supply |
|
F1 |
16 |
20 |
12 |
200 |
|
|
F2 |
14 |
8 |
18 |
160 |
|
|
F3 |
26 |
24 |
16 |
90 |
|
|
Demand |
180 |
120 |
150 |
|
|
The initial basic feasible solution of the above transportation problem using Vogel's Approximation Method (VAM) is given below:
|
→ Warehouse |
|||||
|
↓ Factory |
|
W1 |
W2 |
W3 |
Supply |
|
F1 |
16 (140) |
20 |
12 (60) |
200 |
|
|
F2 |
14 (40) |
8 (120) |
18 |
160 |
|
|
F3 |
26 |
24 |
16 (90) |
90 |
|
|
Demand |
180 |
120 |
150 |
|
|
The solution of the above problem:
| A. | is degenerate solution |
| B. | is optimum solution |
| C. | needs to improve |
| D. | is infeasible solution |
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Option: B Explanation : Click on Discuss to view users comments. |
Given the following statements with respect to linear programming problem :
S1: The dual of the dual linear programming problem is again the primal problem
S2: If either the primal or the dual problem has an unbounded objective function value, the other problem has no feasible solution.
S3: If either the primal or dual problem has a finite optimal solution, the other one also possesses the same, and the optimal value of the objective functions of the two problems are equal.
Which of the following is true?
| A. | S1 and S2 |
| B. | S1 and S3 |
| C. | S2 and S3 |
| D. | S1, S2 and S3 |
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Option: D Explanation : Click on Discuss to view users comments. |
Consider the two class classification task that consists of the following points :
Class C1 : [1 1.5] [1 -1.5]
Class C2 : [-2 2.5] [-2 -2.5]
The decision boundary between the two classes using single perceptron is given by:
| A. | x1 + x2 + 1.5 = 0 |
| B. | x1 + x2 -1.5 = 0 |
| C. | x1 + 1.5 = 0 |
| D. | x1 - 1.5 = 0 |
|
Option: C Explanation : Click on Discuss to view users comments. |
Let A and B be two fuzzy integers defined as :
A = {(1, 0.3), (2, 0.6), (3, 1), (4, 0.7), (5, 0.2)}
B = {(10, 0.5), (11, 1), (12, 0.5)}
Using fuzzy arithmetic operation given by
| A. | {(11, 0.8), (13, 1), (15,1)} |
| B. | {(11, 0.3), (12, 0.5), (13, 1), (14, 1), (15, 1), (16, 0.5), (17, 0.2)} |
| C. | {(11, 0.3), (12, 0.5), (13, 0.6), (14, 1), (15, 1), (16, 0.5), (17, 0.2)} |
| D. | {(11, 0.3), (12, 0.5), (13, 0.6), (14, 1), (15, 0.7), (16, 0.5), (17, 0.2)} |
|
Option: D Explanation : Click on Discuss to view users comments. |
Suppose the function y and a fuzzy integer number around -4 for x are given as y= (x-3)2 + 2.
Around -4 = {(2, 0.3), (3, 0.6), (4, 1), (5, 0.6), (6, 0.3)} respectively. Then f (Around -4) is given by:
| A. | {(2, 0.6), (3, 0.3), (6, 1), (11, 0.3)} |
| B. | {(2, 0.6), (3, 1), (6, 1), (11, 0.3)} |
| C. | {(2, 0.6), (3, 1), (6, 0.6), (11, 0.3)} |
| D. | {(2, 0.6), (3, 0.3), (6, 0.6), (11, 0.3)} |
|
Option: C Explanation : Click on Discuss to view users comments. |
