Optimization Techniques Unit-4 QUIZ

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1/10 Questions

Identify 3 IBFS methods of a transportation problem
- MODI method
- North-West Corner Method
- Least Cost Method
- Vogel's Approximation Method

About This Quiz

This quiz assesses knowledge in Optimization Techniques, focusing on transportation problem methods like North-West Corner, MODI, and Least Cost Method. It evaluates understanding of IBFS, BFS, and problem-solving skills in balanced transportation problems.

Optimization Techniques Unit-4 Quiz - Quiz

2.

Identify BFS method of a transportation problem
- North-West Corner Method
- Least Cost Method
- Vogel's Approximation Method
- MODI Method
Correct Answer

A. MODI Method

Explanation

The MODI method is a method used in transportation problems to find an optimal solution. It stands for Modified Distribution Method. This method involves calculating the opportunity costs for each empty cell in the transportation table and selecting the cell with the highest opportunity cost. It then performs a cycle test to check if the solution is optimal. If the solution is not optimal, the method adjusts the allocation of units in the transportation table and repeats the process until an optimal solution is reached.

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3.

Another name of the MODI(Modified Distribution) Method is u-v Method ?
- True
- False
Correct Answer

A. True

Explanation

The statement is true because the MODI (Modified Distribution) Method is also known as the u-v Method. This method is used in linear programming to find the optimal solution of a transportation problem. It involves modifying the initial solution by evaluating the opportunity costs of reallocating units from one cell to another. Therefore, the alternative name for the MODI Method is u-v Method.

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1
4.

Using North-West Corner Method Identify Final transportation table of
- Option 1
- Option 2
- Option 3
- Option 4
Correct Answer

A. Option 4
5.

Find the Total cost of below transportation problem using Least Cost Method
- 3000
- 2800
- 2900
- 3100
Correct Answer

A. 2900

Explanation

Total Cost = (1*300)+(2*250)+(6*50)+(5*100)+(3*300)+(2*200)
= 300 + 500 + 300 + 500 + 900 + 400
∴ Total Cost = 2900

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6.

Given Transportation Problem is
- Unbalanced Transportation Problem
- Balanced Transportation Problem
Correct Answer

A. Balanced Transportation Problem

Explanation

Since given transportation problem is said to be balance means
Sum of all supply costs = Sum of all Demand costs
300 + 400 + 500 = 250 + 350 + 400 + 200
1200 = 1200

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7.

Identify correct penalties in all row and columns of given transportation problem
- Option 1
- Option 2
- Option 3
- Option 4
Correct Answer

A. Option 3
8.

Equation of No.of optimal cells of given transportation problem
- M-n+1
- M+n-2
- M+n-1
- M+n+1
Correct Answer

A. M+n-1

Explanation

Here no. of rows, m = 3 and no. of columns , n = 4
No. of optimal cells = m + n – 1
= 3 + 4 – 1
∴ No. of optimal cells = 6

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9.

The transportation problem is a special class of the linear programming problem
- True
- False
Correct Answer

A. True

Explanation

The transportation problem is indeed a special class of the linear programming problem. It involves determining the optimal way to transport goods from sources to destinations, while minimizing the total cost or maximizing the total profit. It can be solved using various mathematical techniques, such as the simplex method or the transportation simplex method. Therefore, the statement is true.

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