Calculate the cost of operating under the different MRP lot sizing techniques:
Lot-for-Lot (L4L)
Economic Order Quantity (EOQ)
Least Total Cost (LTC)
Least Unit Cost (LUC)
Compare your results and state which method is the most cost efficient in this situation.
Consider the following MRP lot sizing problem:
Cost per item |
$50 |
Order/setup cost |
$75 |
Inventory carrying cost per item per week |
$1 |
Weekly net requirements:
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
75 |
90 |
100 |
90 |
80 |
95 |
90 |
80 |
A |
Economic Order Quantity (EOQ) |
2*Total Quantity*Ordering cost/Carrying cost |
Total Quantity |
700 |
|
Ordering cost |
$75 |
|
Carrying cost |
$1 |
|
EOQ |
105000 |
|
EOQ |
324.04 |
|
B |
Least total cost |
|
Ordering Quantity |
324 |
|
Total Quantity |
700 |
|
No of orders (700/324) rounded to next 1 |
3 |
|
Ordering cost (3*75) (A) |
$225 |
|
Carrying cost (324/2) (B) |
$162 |
|
Cost Material (700*50) (C) |
$35,000 |
|
Ans |
Total cost (D=A+B+C) |
$35,387 |
C |
Least unit cost |
|
No of units (A) |
700 |
|
Total cost (B) |
$35,387 |
|
Unit cost per unit (C=B/A) |
$50.55 |
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