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This is a 2 part question because I cannot split it apart:
Part 1:
Suppose that an auto part in a manufacturer's inventory has the following characteristics:
Forecast of demand
1,250 cases per week
Forecast error, std. dev.
475 cases per week
Lead Time
2.5 weeks
Carrying Cost
30% per year
Purchase Price, delivered
$56 per case
Replenishment Order Cost
$40 per order
Stockout Cost
$10 per case
Probability of being in stock during the lead time, P
80%
Part 2:
Repeat question above, but include that the lead time is normally distributed with a standard deviation of 0.5 weeks.
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