MTH601 Quiz | MTH601 Quizzes | MTH601 Quiz 3 Solved

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"MTH601 Quiz No. 3"

Multiple Choice Question

12 February 2021 

Question No: 1

In the Least Cost Method, for any call both demand and supply are satisfied then which of the following will be crossed out?

► Either of raw or column

► Only row

► Only column

► Both row and column

Question No: 2

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 toward which of the following cell?

► Arbitrarily either toward (1,2) or (2,1)

► Towards (1,2) if 1st row contains more occupied cells then 2nd row

► Towards (2,1) if 1st row contains more occupied cells then 1nd row

► Nether towards (1,2) nor (2,1) but move diagonally towards (2,2)

Question No: 3

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

► Linear Programming problem

► Inventory Control Problem

► Network Flow Problem

► Stochastic Problem

Question No: 4

For an assignment problem, if the numbers of agent and task are _____________.then the problem is called _____________________ assignment.

► equal. balanced

► unequal. balanced

► equal. unbalanced

► none of these

Question No: 5

The North-West Corner Rule

► Is used to find an initial feasible solution

► Is used to find an optimal solution

► Is based on the concept of minimizing opportunity cost

► None of above

Question No: 6

Which of the following will be the penalty cost of a row in Vogel's approximation method, if the smallest element in '3' and other elements are 3, 4, 5 ?

► 0

► 1

► 2

► 3

Question No: 7

In a transportation Problem, the objective function 'Z' gives --------.

► Total Cost of transportation

► Total Time of transportation

► Total Profit of transportation

► Total inventory be supplied in transportation

Question No: 8

In the assignment problem, the cost matrix is--------.

► square

► rectangular

► non-square

► singular

Question No: 9

In which of the following method to solve a transportation problem, we have to calculate one moor row and one more column?

► Vogel's approximation Method

► North West Corner method

► Least Cost Method

► Simplex Method

Question No: 10

In the assignment problem is unbalanced if the cost matrix is not a -------- matrix.

► square

► rectangular

► non-square

► singular

"MTH601 Quiz No. 3"(2)

Multiple Choice Question

12 February 2021

Question No: 1

If the cost matrix in an Assignment problem is not square then which the following modification will be made to balance the given problem?

► Add a dummy row(column) with zero cost elements

► Add a dummy row(column) with positive cost elements

► Add a dummy row(column) with negative cost elements

► Add a dummy row(column) with arbitrary(including negative or positive) cost elements

Question No: 2

The North - West Corner Rule

► Is used to find an initial feasible solution

► Is based on the concept of minimizing opportunity cost

► Is used to find optimal solution

► None of above

Question No: 3

Is a balanced Transportation problem with 'm' source and 'n' sinks then degeneracy will arise only if there are less then --------- independent allocation in the solution.

► m-n-1

► m-n-3

► m-n-2

► m-n-4

Question No: 4

The column, which is introduced in the matrix to balance an unbalanced Transportation problem, is known as -------

► dummy Column

► key column

► idle column

► slack column

Question No: 5

The solution of a transportation problem with m rows (supplies) and n (destination) is feasible if number of positive allocation are _____ .

► m+n-1

► m+n

► m-n+1

► m+n+1

Question No: 6

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 dummy sink would have to include with demand equal to the surplus

► A dummy source would have to include with supply, equal to shortage

► One constraint will have evacuate

► One constraint will have to add

Question No: 7

There always exists a non-degenerate Feasible solution of a Balanced transportation Problem.

► False

► True

Question No: 8

To solve the degeneracy in a transportation problem we have to ------.

►allocate the smallest element element epsilon in such a cell

► put a small element epsilon in any one of the empty cell

► put allocation in one of the empty cell with zero value

► put a small element epsilon in any one of the empty cell

► apply duality principle

Question No: 9

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?

► Difference between the smallest unit cost to the next smallest cost in the same row(column)

► Difference between the largest unit cost to the next smallest cost in the same row(column)

► Difference between the largest unit to the smallest unit in the came row(column)

► Difference between two arbitrary cost in the cam row(column)

Question No: 10

In North West Corner method, the first step after choosing the appropriate cell in 1st row, we allocate --------- so that the capacity if first row or first column is exhausted.

► as mush as possible

► as lest as possible

► non-negative quantity

► any arbitrary quantity

"MTH601 Quiz No. 3"(3)

Multiple Choice Question

12 February 2021 

Question No: 1

Under which of the following condition in the Least Cost Method, after first allocation in cell (1,1). next allocation along the diagonal in cell (2.2) can be made?

► If after crossed out 1st row of column, cell (2.2) is of minimum cost

► If Total Supply is not equal to Total Demand

► Total Supply = Total Demand

► If in the second row and second column each resource and sink contain equal units 

Question No: 2 (rep)

The solution of a transportation problem with m rows (supplies) and n (destination) is feasible if number of positive allocation are _____ .

► m+n-1

► m+n

► m-n+1

► m+n+1

Question No: 3

Due to which of the following reason, Simplex method is not preferred to solve a Transportation problem?

► Since it contains large number of decision variable 'xij's; so that it becomes complicated

► Since Transportation problem contains constraints of '=' type

► Since Transportation problem does not contain positive slacks

► Since Transportation problem does not contain negative slacks

Question No: 4

Which value of "aij's" in the standard form of linear programming problem will transform it in standard Transportation problem?

►aij = 0 or 1 for all i = 1,2 ...,m;j = 1,2,...,n

►aij = 1 for all i = 1,2 ...,m;j = 1,2,...,n

►aij = 0 and 1 for all i = 1,2 ...,m;j = 1,2,...,n

►aij = 0 for 1 for all i = 1,2 ...,m;j = 1,2,...,n

Question No: 5 (rep)

In which of the following method to solve a transportation problem, we have to calculate one moor row and one more column?

► Vogel's approximation Method

► North West Corner method

► Least Cost Method

► Simplex Method

Question No: 6

IF a Transportation problem has 'm+n' constraints then how many number of unknowns it will have?

► m.n

► m+n

► m-n

► m/n

Question No: 7 (rep)

The North - West Corner Rule

► Is used to find an initial feasible solution

► Is based on the concept of minimizing opportunity cost

► Is used to find optimal solution

► None of above

Question No: 8

In the assignment problem is unbalanced if the cost matrix is not a -------- matrix.

► square

► rectangular

► non-square

► singular

Question No: 9

Transportation problem is basically a ______

► Minimization model

► Maximization model

► Transshipment problem

► Iconic model

Question No: 10 (rep)

The column, which is introduced in the matrix to balance an unbalanced Transportation problem, is known as -------

► dummy Column

► key column

► idle column

► slack column

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