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Chapter:

TRANSPORTATION PROBLEM Solved MCQs

in Business Mathematics

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Business Administration in Computer Applications (BBA [CA]) , Bachelor of Business Administration (BBA) .

Chapters

Chapter: TRANSPORTATION PROBLEM
1.

Operations research is the application of ____________methods to arrive at the optimal Solutions to the problems.

A. economical
B. scientific
C. a and b both
D. artistic
Answer» B. scientific
2.

Operations research was known as an ability to win a war without really going in to ____

A. battle field
B. fighting
C. the opponent
D. both a and b
Answer» D. both a and b
3.

Who defined OR as scientific method of providing execuitive departments with a quantitative basis for decisions regarding the operations under their control?

A. morse and kimball (1946)
B. p.m.s. blackett (1948)
C. e.l. arnoff and m.j. netzorg
D. none of the above
Answer» A. morse and kimball (1946)
4.

What enables us to determine the earliest and latest times for each of the events and activities and thereby helps in the identification of the critical path?

A. programme evaluation
B. review technique (pert)
C. both a and b
D. deployment of resources
Answer» C. both a and b
5.

In Degenerate solution value of objective function _____________.

A. increases infinitely
B. basic variables are nonzero
C. decreases infinitely
D. one or more basic variables are zero
Answer» D. one or more basic variables are zero
6.

OR has a characteristics that it is done by a team of

A. scientists
B. mathematicians
C. academics
D. all of the above
Answer» D. all of the above
7.

Feasible solution satisfies __________

A. only constraints
B. only non-negative restriction
C. [a] and [b] both
D. [a],[b] and optimum solution
Answer» C. [a] and [b] both
8.

When total supply is equal to total demand in a transportation problem, the problem is said to be

A. balanced
B. unbalanced
C. degenerate
D. none of the above
Answer» A. balanced
9.

Which of the following methods is used to verify the optimality of the current solution of the transportation problem

A. least cost method
B. vogel’s approximation method
C. modified distribution method
D. all of the above
Answer» C. modified distribution method
Explanation: The Modified Distribution Method (MODI), also known as the UV method, is used to check the optimality of the current solution in a transportation problem. The least cost method and Vogel’s approximation method are used to find an initial feasible solution but do not verify optimality.
10.

The degeneracy in the transportation problem indicates that

A. dummy allocation(s) needs to be added
B. the problem has no feasible solution
C. the multiple optimal solution exist
D. a & b but not c
Answer» C. the multiple optimal solution exist
11.

The dummy source or destination in a transportation problem is added to

A. satisfy rim conditions
B. prevent solution from becoming degenerate
C. ensure that total cost does not exceed a limit
D. none of the above
Answer» A. satisfy rim conditions
12.

The occurrence of degeneracy while solving a transportation problem means that

A. total supply equals total demand
B. the solution so obtained is not feasible
C. the few allocations become negative
D. none of the above
Answer» B. the solution so obtained is not feasible
13.

An alternative optimal solution to a minimization transportation problem exists whenever opportunity cost corresponding to unused route of transportation is:

A. positive & greater than zero
B. positive with at least one equal to zero
C. negative with at least one equal to zero
D. none of the above
Answer» B. positive with at least one equal to zero
14.

One disadvantage of using North-West Corner rule to find initial solution to the transportation problem is that

A. it is complicated to use
B. it does not take into account cost of transportation
C. it leads to a degenerate initial solution
D. all of the above
Answer» B. it does not take into account cost of transportation
15.

The solution to a transportation problem with ‘m’ rows (supplies) & ‘n’ columns (destination) is feasible if number of positive allocations are

A. m+n
B. m*n
C. m+n-1
D. m+n+1
Answer» C. m+n-1
16.

If an opportunity cost value is used for an unused cell to test optimality, it should be

A. equal to zero
B. most negative number
C. most positive number
D. any value
Answer» B. most negative number
17.

The large negative opportunity cost value in an unused cell in a transportation table is chosen to improve the current solution because

A. it represents per unit cost reduction
B. it represents per unit cost improvement
C. it ensure no rim requirement violation
D. none of the above
Answer» A. it represents per unit cost reduction
18.

The smallest quantity is chosen at the corners of the closed path with negative sign to be assigned at unused cell because

A. it improve the total cost
B. it does not disturb rim conditions
C. it ensure feasible solution
D. all of the above
Answer» C. it ensure feasible solution
19.

The quantitative approach to decision analysis is a

A. logical approach
B. rational approach
C. scientific approach
D. all of the above
Answer» C. scientific approach
20.

The qualitative approach to decision analysis relies on

A. experience
B. judgement
C. intuition
D. all of the above
Answer» D. all of the above

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