Whitney Flowers (WF), a flower shop in New Haven, is preparing for upcoming Valentine's Day. WF management estimates that the demand for its signature product Heart to Heart Bouquet on V-Day is normally distributed with mean of 300 units and standard deviation of 60 units. (For simplicity, consider only the demands arriving on V-Day and not previous days.) WF will purchase flowers from local growers the day before V-Day. Each unit of bouquet costs $25 to make, including the flower purchase cost, basket cost, and labor. WF plans to sell the bouquets at the unit price of $40.

1. Suppose that bouquets left over at the end of V-Day are worthless and they are discarded at no cost. If WF completes preparation of bouquets by the evening of V-Day, how many units of bouquet should WF prepare in order to maximize its expected profit? (You may write your answer as a fractional number.)

1. (This question is independent of Q1) How many units of bouquet should WF prepare by the evening of V-Day if it wants to achieve 95% in-stock probability (= 5% stockout probability)? (You may write your answer as a fractional number.)