+1-415-670-9189

info@expertsmind.com

# Least cost method (LCM) Assignment Help

###
Transportation Problem in Linear Programming - Least cost method (LCM)
**Least cost method (LCM)**

In this method, allocations are made on the basis of unit transportation costs. The method is explained below.

Step 1: Select the cell with the least unit transportation cost and allocate as many units as possible to that cell.

Step 2: If the minimum cost exists in several cells, select a cell arbitrarily and assign the possible number of goods. Then consider the remaining cells of the same unit transportation cost.

Step 3: Select a cell with the next higher unit transportation cost and continue the process till all requirements are met.

**Problem**

Distances between factory and its warehouses and demand at each warehouse are given in the table.

**Table: Transportation Table**

Factory/Warehouse

W1

W2

W3

Supply

F1

16

22

14

200

F2

18

14

18

150

F3

8

14

16

100

Demand

175

125

150

Solve the problem using least cost method.

Solution

Step 1: First, we consider the cell when the unit cost of transportation is the least; i.e. the cell (F_{3}, W_{1}) with a cost of Rs. 8

Step 2: The possible number of goods that can be assigned to the cell (F_{3}, W_{1}) is 100.

Step 3: Next, we move to that cell where the next higher unit cost of transportation exists and assign the possible number of goods.

Step 4: The process is continued till the entire goods are assigned.

The solution is shown below:

The number of occupied cells is 5, that is equal to the value of (m+n-1), i.e. (3+3-1). So the solution is a feasible solution.

Therefore, the cost associated with the solution is, (50 × 16) + (25 × 18) + (100 × 8) + (125 × 14) + (150 × 14) = Rs. 5900.

**Email based Operations Management assignment help - homework help at Expertsmind**

Are you searching Operations Management expert for help with Least cost method (LCM) questions? Least cost method (LCM) topic is not easier to learn without external help? We at www.expertsmind.com offer finest service of Operations Management assignment help and Operations Management homework help. Live tutors are available for 24x7 hours helping students in their Least cost method (LCM) related problems. We provide step by step Least cost method (LCM) question's answers with 100% plagiarism free content. We prepare quality content and notes for Least cost method (LCM) topic under Operations Management theory and study material. These are avail for subscribed users and they can get advantages anytime.

**Why Expertsmind for assignment help**

- Higher degree holder and experienced experts network
- Punctuality and responsibility of work
- Quality solution with 100% plagiarism free answers
- Time on Delivery
- Privacy of information and details
- Excellence in solving Operations Management questions in excels and word format.
- Best tutoring assistance 24x7 hours

**Least cost method (LCM)**

**Problem**

**Table: Transportation Table**

Factory/Warehouse

W1

W2

W3

Supply

F1

16

22

14

200

F2

18

14

18

150

F3

8

14

16

100

Demand

175

125

150

_{3}, W

_{1}) with a cost of Rs. 8

_{3}, W

_{1}) is 100.

**Email based Operations Management assignment help - homework help at Expertsmind**

**Why Expertsmind for assignment help**