Computing the eoq-total cost

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An oil change shop is trying to determine how many cases of engine oil they should order from its distributor. They use 60,000 cases per year. Annual carrying cost is 20% of the item cost. Ordering cost is $8.50 per order. The distributor offers the following quantity discount schedule:

Quantity.........Cost

1-999............ $5.00

1000-1999 ......$4.50

2000+............ $4.25

1. What is the EOQ for each item cost?

2. What is total cost (holding cost + ordering cost + material cost) if they buy at $4.50 per case at the minimum total cost point on $4.50 curve (EOQ point for $4.50)?

3. What is total cost at the item cost of $4.25 and Q=2000 (lowest allowable order quantity from supplier for this price)?

4. What is the final order quantity you recommend (one that results the lowest total cost)?

Reference no: EM13758475

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