Billy's Bagels bakes fresh bagels each morning. The daily demand for bagels follows a normal distribution with mean 15 and standard deviation 5. The bagels cost Billy's 8 cents to make and they are sold for 35 cents each. Bagels unsold at the end of the day are purchased by a nearby charity soup kitchen for 3 cents each.
How many bagels should Billy's bake at the start of each day? (z-table is attached at the end of the assignment)