Question: please show steps and thank you so much Notes An item has normally distributed demand with mean 100 and standard deviation 50. They order each
please show steps and thank you so much
Notes An item has normally distributed demand with mean 100 and standard deviation 50. They order each week with one week lead time. Backorders are allowed. A) With an order-up-to level of 300, on-hand inventory of 200 and on-order inventory of 60, how much will be ordered this week? B) What is the standard deviation of demand over 2 weeks? C) If it uses 306 as it order-up-to level, what is its expected on-hand inventory? D) Using part C data, what is its expected on- order inventory? E) If it uses 278 as its order-up-to level, what is its in-stock probability? F) if it uses 334 as its order-up-to level, what is its stockout probability? G) If it wants in-stock probability of 0.998. What order-up-to level should it use? Notes An item has normally distributed demand with mean 100 and standard deviation 50. They order each week with one week lead time. Backorders are allowed. A) With an order-up-to level of 300, on-hand inventory of 200 and on-order inventory of 60, how much will be ordered this week? B) What is the standard deviation of demand over 2 weeks? C) If it uses 306 as it order-up-to level, what is its expected on-hand inventory? D) Using part C data, what is its expected on- order inventory? E) If it uses 278 as its order-up-to level, what is its in-stock probability? F) if it uses 334 as its order-up-to level, what is its stockout probability? G) If it wants in-stock probability of 0.998. What order-up-to level should it use
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