The annual demand for a specific product is 3,500 units and has the following ordering and holding costs: Co = $20.50 per order and Ch = $8.00 per unit. Demand exhibits some variability such that the lead-me demand is approximately normally distributed with = 45 units and = 12 units.

A) What is the recommended order quantity for this product? Express your answer as a whole number using standard rounding rules.

B) If the manager sets the reorder point at 55 units, what is the probability of a stockout in any given order cycle? Express your answer as a decimal to 4 decimal places using standard rounding rules.

C) Given the probability of a stockout in problem b, how many times would expect a stockout to occur during the year if the reorder point = 55 units were used? Express your answer to 2 decimal places using standard rounding rules.

D) What is the Z-value if the company wants at most a 2% probability of a stockout?

E) What is the reorder point if the company wants at most a 2% probability of a stockout?

F) How much of the reorder point in problem e will consist of safety stock?

*Please show how to calculate*