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Q5: Answer the following multiple choice: 1. In transportation problem involving 5 demands and 5 suppliers, total number of possible solutions are A. 5! B. 10 C. 25 D. none of them 2. The application of transportation problems is to obtain A. only minimum cost B. only maximum profit C. minimum cost or maximum profit D. assign the jobs 3. The transportation method is said to be unbalanced if A. number of rows is greater than number of columns B. number of rows is lesser than number of columns C. number of rows is equal to number of columns D. both A and B 4. If any value in replacement ratio column (0 column) of final simplex table is negative, then the solution is A. unbounded B. optimal C. infeasible D. feasible 5. Linear programming problem involving only two variables can be solved by A. Big M method B. Simplex method C. Graphical method D. none of them. 6. In simplex method, slack variable (S). A. Is the difference between the left and right sides of a constraint B. Is the amount by which the left side of a constraint is smaller than the right side C. Is the amount by which the left side of a constraint is larger than the right side D. Exists for each variable in a linear programming problem 7. If the constraint of an Linear Programming Problem has an in equation of less than equal to type, the variables to be added are A. slack B. surplus C. artificial D. decision 8. In graphical method the restriction on number of constraint is A. 2 B. 3 C. not more than 3 D. none of them. 9. Key element in the simplex method is also known as A. slack B. surplus C. artificial D. pivot element 10. Which of the following statements is true? A. A less than or equal to constraint with positive slack in the optimal solution will always have an infinite allowable decrease for the RHS. B. Increasing the RIIS of a less than or equal to constraint will eventually make it redundant. C. Changing the RHS of a constraint changes its slope. D. Changing the RHS of a constraint changes its slope. 11. Consider a scenario with an objective function Minimize S14X + S17Y. Assume that the value of X in the optimal solution is zero and the reduced cost for variable X is $3. At what objective function coefficient will X first become part of the optimal solution? A. 14 B. 20 C.7 D. 11 12. When there is a change in one of the coefficients of the objective function and yet optimal point remains as the optimal point after the change then A. The value of the new optimal objective function changes and is generally different to the original. B. The value of the new optimal objective function remains the same as original. C. None of them 13. The main limitation of operations research is that it often ignores the human element in the production process. A. True B. False 14. Which of the following is not the phase of OR methodology? A. Formulating a problem B. Constructing a model C. Establishing controls D. Controlling the environment 15. The degeneracy in the transportation problem indicates that A. Dummy allocation needs to be added B. The problem has no feasible solution C. The multiple optimal solution exists D. (A) and (B) only