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Lubov Fominskaja [6]
3 years ago
8

Ye’ Olde Barrel Shop sells oak barrels to a local winery. The Master Cooper would like to reduce her oak lumber inventory by d

etermining the optimal number of oak boards to order. The annual demand averages 55,000 boards and the order cost is $21.00 per order. Holding cost is estimated to be 40%. The purchase cost of each board is $14.00. The standard deviation of daily demand is 5 boards. The standard deviation of lead time is 3.0 days. Assume 268 days in the year and an average lead time of 7 days.
What is the EOQ?

If a service level of 98% is desired during the reorder interval, what is the reorder point? Remember you cannot order partial units. To avoid rounding errors, round to the nearest integer in the LAST step.
Business
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

The EOQ is 642

The reorder point is 2,699

Explanation:

In order to calculate the EOQ we would have to calculate the following formila:

EOQ=√2DS/H

According to the given data we have the following:

D = 55,000

S = 21

H=40%*purchase cost

H=0.4*14 = 5.6

Therefore, EOQ=√(2*55,000*21)/5.6

EOQ=642

To calculate the reorder point If a service level of 98% is desired during the reorder interval, we would have to use the following formula:

reorder point=dL+z√σ∧2dL+σ∧2Ld∧2

reorder point=(7*205.22)+√(2.05*√(5∧2*7)+(3∧2*205.22∧2)

reorder point=2,699

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