Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple pies is a random variable with (discrete) distribution, based on past experience, given by Each apple pie costs the bakery $14.75 to make and is sold for $40. Unsold apple pies at the end of the day are purchased by a nearby soup kitchen for 80 cents each. Assume no goodwill cost. a. If the company decided to bake 16 apple pies each day, what would be its expected profit? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Based on the demand distribution above, how many apple pies should the company bake each day to maximize its expected profit