The forecasted daily demand for a magazine, D, is normally distributed with a mean of 200 units () and a standard deviation of 50 units ().

**In Part a, Part f, and Part g, please round a decimal number to two decimal places. For example, 1.73620397 can be rounded to two decimal places as 1.74. As another example, 1.34412 can be rounded to two decimal places as 1.34.

**In other parts, please round a decimal number to the nearest bigger whole number. For example, 254.6 can be rounded to a whole number as 255. As another example, 136.1 can be rounded to a whole number as 137.

a. What is the probability that the actual demand will be 100 units or more? Probability:

b. What is the expected profit-maximizing order quantity, Q? Assume that c_u=$13.4 and c₀=$6.6. Q is=

c. If the bookstore manager orders quantity of Q=150, what are the expected lost sales? ELS is=

d. At Q=150, what are the expected sales? ES is=

e. At Q=150, what is the expected leftover inventory? ELI is=

f. At Q=150, what is the expected fill rate? Fill rate is=

g. At Q=150, what is the stock-out probability? Stock-out probability is=