Question: Part I. Consider the same grocery store example analyzed in class where 4200 packages of paper towels are sold each year. The fixed ordering cost

Part I.

Consider the same grocery store example analyzed in class where 4200 packages of paper towels are sold each year. The fixed ordering cost for a batch purchase of paper towels is $100 and the yearly inventory holding cost is 30% of the purchase price.

Suppose that the supplier offers the following price schedule based on the all-unit quantity discount policy:

Quantity Purchased

Cost per Package

1-499

$2.55

500-999

$2.50

1000+

$2.45

What is the optimal order quantity? What is the total inventory management cost?

Part II.

Now suppose that the supplier offers the following price schedule:

Quantity Purchased

Cost per Package

1-1499

$2.55

1500-1999

$2.50

2000+

$2.45

What is the optimal order quantity? What is the total inventory management cost?

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