The objective of a transportation problem is to develop an ----------- transportation schedule that meets all demand from given stock at a ------- total shipping cost.

• A) (integral, minimum)
• B) (fractional, maximum)
• C) (fractional, minimum)
• D) (integral, maximum)

In the Vogel’s approximation Method for solving a Transportation problem, Penalty measure for any row or column, is given by which of the following?

• A) Difference between the smallest unit cost to the next smallest cost in the same row(column)
• B) Difference between the largest unit cost to the next largest cost in the same row(column)
• C) Difference between the Largest unit cost to the smallest unit cost in the came row(column)
• D) Difference between any two arbitrary costs in the came row(column)

In North West Corner method, in the first row and first column, available resource and sink contain ‘5’ and ‘7’ units respectively; then which of the following amount ‘x11’ will be allocated in the cell (1,1)?

• A) Average(5,7) = 6
• B) Min(5,7-5) = 2
• C) Min(5,7) = 5
• D) Max(5,7) = 7

If an LP problem contains large number of constraints and a smaller number of variables then which of the following will reduce the computational burden in finding its solution?

• A) Duality principle
• B) Two phase method
• C) Graphical method
• D) M-method

Under which of the following condition in the North West Corner Method, after first allocation in cell (1,1), next allocation along the diagonal in cell (2,2) can be made?

• A) If in the first row and first column, each resource and sink contain equal units
• B) Total Supply = Total Demand
• C) No such condition exist
• D) If Total Supply is not equal to Total Demand

The amounts shipped from a dummy source represent shortages at the receiving destinations

• A) False
• B) True
• C)
• D)

Primal of a dual is-----.

• A) Primal
• B) Prime primal
• C) Dual
• D) Prime dual

Primal of a Primal is-------.

• A) Prima primal
• B) dual primal
• C) Primal
• D) Dual

What is the significance of selecting the row or column with the largest penalty in VAM?

• A) It prioritizes the allocation to minimize penalties
• B) It denotes the final allocation step
• C) It represents the maximum supply or demand
• D) It indicates the highest transportation cost

The Transportation Problem is one of the sub-class of -------------.

• A) Network Flow Problem
• B) Linear Programming Problem
• C) Stochastic Problem
• D) Inventory Control Problem

In a Transportation problem, which of the following are taken as the coefficients of unknown “$x_{ij}$'s” ?

• A) Ones
• B) Any arbitrary non-negative integer
• C) Zeros
• D) Zeros or ones

Dual of a Dual of Dual is------.

• A) Primal
• B) Single dual
• C) Dual
• D) Double dual

What is done with the row/column after an allocation is made in the LCM?

• A) Adjust the demand at the destination
• B) Increase the cost of transportation
• C) Retain the row/column for future allocations
• D) Eliminate the row/column

In transportation models, what does the decision variable xij typically represent?

• A) The total demand at warehouse j.
• B) The cost of transporting one unit from factory i to warehouse j.
• C) The quantity of goods transported from factory i to warehouse j.
• D) The total production capacity at factory i.

For an unbalanced Transportation problem, if the total demand is LESS than total supply then which of the following is true in order to balance the problem?

• A) A dummy source would have to include with supply equal to shortage
• B) A dummy sink would have to include with demand equal to the surplus
• C) One constraint will have to add
• D) One constraint will have evacuate

For North West Corner method, in the first row and first column, each source and sink contain ‘5’ units ; then after allocating the appropriate amount ‘x11’ in the cell (1,1), we will move towards which of the following cell?

• A) Arbitrarily either towards (1,2) or (2,1)
• B) Towards (1,2) if 1st row contains more occupied cells than 2nd row
• C) Neither towards (1,2) nor (2,1) but move diagonally towards (2,2)
• D) Towards (2,1) if 2nd row contains more occupied cells than 1st row

Which of the following Method is comparatively little complex to solve a Transportation problem?

• A) Hungarian’s Method
• B) North West Corner Method
• C) Least Cost Method
• D) Vogel’s approximation Method

What is the purpose of Vogel's Approximation Method (VAM) in solving transportation problems?

• A) To maximize total demand
• B) To ignore unit costs of transportation
• C) To find a promising initial basic feasible solution
• D) To minimize total supply

For North West Corner method, in the first row and first column, resource and sink contain ‘5’ and ‘7’ units respectively; then after allocating the appropriate amount ‘x11’ in the cell (1,1), we will move towards which of the following cell?

• A) (2,1)
• B) (2,2)
• C) (5,2)
• D) (1,2)

For an unbalanced Transportation problem, if the total demand is MORE than total supply then which of the following is true in order to balance the problem?

• A) A dummy sink would have to include with demand equal to the surplus
• B) One constraint will have evacuate
• C) One constraint will have to add
• D) A dummy source would have to include with supply equal to shortage