Course Solutions Uncategorized (Answered) : A product has the following gross requirements. Which is cheaper—lot-for-lot or EOQ lot-sizing? Week 1 2 3 4

(Answered) : A product has the following gross requirements. Which is cheaper—lot-for-lot or EOQ lot-sizing? Week 1 2 3 4

A product has the following gross requirements. Which is cheaper—lot-for-lot or EOQ lot-sizing?

Week

1

2

3

4

Requirements

50

30

40

80

Other data for this scenario include: setup cost = $100, inventory holding cost $1 per unit per week. Beginning inventory is 50 units; there are no scheduled receipts. The usage pattern is expected to continue for the remainder of the year.

Expert Answer


Demand rate, d = Average requirement = (50+30+40+80)/4 = 50

Setup cost, S = 100

Holding cost, H = 1

EOQ = SQRT(2*50*100/1) = 100

Total cost for lot-for-lot ordering = 4 orders * 50 + 0 inventory * 1 = $ 200

EOQ policy

Week 1 2 3 4 5
Requirement 50 30 40 80 50
On hand inventory 70 30 50
Order receipt 100 100
Total cost

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