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A health food retailer sells cartons of protein shake powder which it purchases from a supplier. The demand for the protein shake powder is 6200 cartons per year. It costs the health food retailer £50 per order to place an order with their supplier. Annual storage cost per carton is £2.50

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Calculate the EOQ for the purchase of the protein shake cartons.

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The supplier offers a discount for larger orders. Use the supplier price list (shown below) to determine if it is better for the health food company to use a larger order quantity and get a discount on the price. 

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Table : Supplier price schedule

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

Order Quantity

\n
\n

Unit Price

\n
\n

0 – 999

\n
\n

£3.60

\n
\n

1000 or more

\n
\n

£3.00

\n
\n

\n

Calculate the total cost to the health food retailer at EOQ. 

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Calculate the total cost to the health food retailer at 1000 .

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The health food shop has determined that demand for cartons of protein shake powder is normally distributed with a mean of 20 per day and a standard deviation of 5.3. The lead time for receiving new stock is 5 days.

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Calculate the buffer stock level that the health food shop should hold if they want to ensure that there is a less than 5% chance of running out of stock.

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