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A bakery buys sugar from a big distributor to use in baking cakes. Typically, they use 3679 bags of sugar in a year. The price of sugar is typically $13 per bag. The cost to the bakery for placing an order is $28, and the annual carrying cost is $15 per bag. The distributor has offered the bakery the following volume discount schedule:

Order Size……….Discount rate on the original price

—————————————————-

1–449 ……………..0%

450–799…………..5%

800++………………10%

We are trying to find how many bags of sugar should the store order, whenever they place a new order of sugar.

Assume 364 days a year and 52 weeks a year.

IMPORTANT: Note, the discounts off of original price are reported. You need to calculate the actual prices.

If we ignore the discounts, how many bags of sugar should we order?

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How much is the total annual inventory related and purchasing costs (holding, ordering, and purchasing costs), if the bakery order the quantity from EOQ model?

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How much is the total annual inventory related and purchasing costs (holding, ordering, and purchasing costs), if the bakery orders just enough to get 5 percent discount?

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How much is the total annual inventory related and purchasing costs (holding, ordering, and purchasing costs), if the bakery orders just enough to get 10 percent discount?

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Based on this quantity discount information, how may bags of sugar should the store order?

Your answer

How often (in “days”) should the bakery order?

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