You are the owner of a small local bakery, Laura's Loafs. You estimate that the demand for your breads follows a Poisson distribution with a mean of 25 loaves per day. You sell each loaf for $4.99 and it costs you $2.75 to make a loaf of bread. Any unsold bread can be sold as day-old-bread for $2.49 per loaf. a) What is the variance of the demand per day? b) What is the standard deviation of the demand per day? c) How many loaves of bread should you make to maximize the expected profit which is given by • • the expected number of loaves of bread sold times the current day price of $4.99 PLUS the expected number of day-old-loaves of bread sold times the day-old price of $2.49 • MINUS the number of loaves made times the cost per loaf of $2.75 In doing this problem, you can set up a spreadsheet with the daily demand going from 0 to 65. The POISSON function can be used to give you the probability mass function and the cumulative distribution for the Poisson distribution. d) What is the expected profit if you make the number of loaves given in part (c)? Give your answer rounded to the nearest penny.