**dummy column**

**Unbalanced situation**

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

**as much as possible**

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 dummy sink…**

In the assignment problem, the decision variable ‘xij’ can attain which of the following value?

**Only ‘1’**

The row, which is introduced in the matrix to balance an unbalnced Transportation problem, is known as ----------.

**dummy row (confirm)**

The solution of a transportation problem with m rows (supplies) and n (destinations) is feasible if numbers of positive allocations are

**m+n-1 (confirm)**

While solving an Assignment problem by Hungarian’s method, in the modified cost matrix if the minimum number of horizontal and vertical lines to cover zeros are not equal to the number of rows (or columns), then which of the following operation is done?

**Subtract smallest element of uncovered rows from all other elements of uncovered cells**

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

**True (confirm)**

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)**

**m–n–1**

(In this question all options are in (-) negative range like m–n–1 , m–n–2 m–n–3, m–n–4 )

and there was no one true. correct was m+n–1 .however i select m–n–1 ).

2_In a Transportation Problem, the objective function ’Z’ gives ----------.

**Total Cost of transportation**

3_Which of the following type of Elementary matrix operations are performed while solving an Assignment problem by Hungarian’s method?

**Column operations (not sure)**

4_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?

**missed**

5_To convert an Assignment problem into a maximization problem, which of the following operations would have to apply?

**Deduct all elements of the row from highest element in that row**

6_In the assignment problem, the decision variable ‘xij’ can attain which of the following value?

**Only ‘1’**

Ref:

Pg 97

Optimization for Decision Making: Linear and Quadratic Models

By Katta G Murty

https://books.google.com.pk/books?id=HWZXs1rkVxEC&pg=PA97&l…

7_In

Hungarian method of solving assignment problem, the cost matrix is obtained by----------.

**subtracting the smallest element from all other elements of the row.**

8_If the total demand is equal to total supply as per requirement of a balanced transportation problem i-e “a1+a2±–+an = b1+b2±–+bn” then which of the following is true?

**“a1=b1, a2=b2,—, an=bn” is necessarily implied (not sure)**

9_In case the cost elements of one or two cells are not given in the problem, it means that ---------

**the routes connected by those cells are not available**

10_ 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 negative cost elements (not sure)**

rectangular ]]>

Difference between the largest unit cost to the next largest cost in the same row(column) ]]>

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

]]>m+n–1 ]]>

square

rectangle

not square ]]>

`Is based on the concept of minimizing opportunity cost.`

]]>zareen Cyberian’s Gold 11 minutes ago

The objective of a transportation problem is to develop an ----------- transportation schedule that meets all demand from given stock at a ------- total shipping cost. MTH601

(integral, maximum)

120

]]>(2,2) ]]>

10 ]]>

square

rectangle

not square ]]>