Response to the following problem:
Among the items sold at Hal's Bakery are loaves of sourdough bread. The daily number of customers who arrive at Hal's approximately follows a normal distribution with a mean of 240 and a standard deviation of 15.49. There is a .25 probability that a customer wishes to buy one loaf of sourdough bread, a .05 probability that a customer wishes to buy two loaves, and a .70 probability that a customer does not purchase the bread. The bread is baked once a day at 6 A.M. and sold beginning at 9 A.M. Each loaf of bread costs $.60 to produce and sells for $2.40. Unsold loaves of bread are donated to a soup kitchen and net the store a tax credit of $.20. If the store runs out of loaves of sourdough bread, it estimates that it suffers a goodwill loss of $3.00 for each loaf demanded when it is out of stock.
Using Crystal Ball, determine how many loaves of sourdough bread the bakery should produce. Base your results on 500 simulations for each production quantity considered.