Jane uses the order-up-to model to manage the inventory of flour in the restaurant. The daily consumption of flour at the restaurant follows a normal distribution with averages of 25 lbs and standard deviation of 2 lbs.
Suppose Jane can buy flour from a supplier at the selling price of $2 per lb. The daily holding cost for each lb of flour is 3% of the selling price.
The lead time is 4 days, and the effective delivery lead time is 5 days, i.e., L+1 = 5 days. The fixed delivery cost is neglected.
If the flour is out-of-stock, Jane estimates the penalty is $5/lb/day.
Please use the information given to answer
A) Which of the following correctly present the unit holding cost of the flour?
$0.03/lb, $2/lb , $0.06/lb, $0.06/lb/day
B) What is the critical ratio of the flour?
100%, 99.4%, 98.8%, 71.4%
C) Jane needs to hold ? lbs of flour as safety stock. (Round your answer to the nearest integer)
Note: you can calculate the z value using Excel.
D) The order-up-to level S for the flour = ? lbs. (Round your answer to the nearest integer)
E) At the beginning of a day, Jane has 50 lbs of flour held on-hand and 30 lbs of four in transit. How much more lbs of flour should Jane order?
Put 0 if you think no order should be placed.
F) At the beginning of a day, Jane has 25 lbs of flour held on-hand and 120 lbs of four in transit. How much more lbs of flour should Jane order?
Put 0 if you think no order should be placed.
i) If Jane chooses her own critical ratio at 95% for the flour instead of using the critical ratio calculated in B, what will happen to the safety stock and the on-hand inventory level?
Group of answer choices
Safety stock will decrease, but the on-hand inventory level will not be affected.
Safety stock will decrease, but the on-hand inventory level will increase.
Both the safety stock and the on-hand inventory level will increase.
Both the safety stock and the on-hand inventory level will decrease.
Safety stock will increase, but the on-hand inventory level will not be affected.
O)
Which of the following statement of risk pooling effect is NOT true?
Group of answer choices
Risking pooling effect enables the business to achieve the same critical ratio using less inventory
Risk pooling effect is more significant when the inventory consolidation scale is larger
Risk pooling effect improves the business’s profit by attracting more demand
Risk pooling effect reduces the inventory holding cost by reducing safety-stock
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