This homework is based on Chapter 13 (Determining the optimal level of product availability). Please review Example 13-1 in the lecture note/text book and the Excel file (named Example 13-1.xls) in D2L before working on it. Please also work this problem on the template of Example 13-1.xls. Green Thumb, a manufacturer of lawn care equipment, has introduced a new product. The anticipated demand is normally distributed with a mean of u = 100 and a standard deviation of o = 40. Each unit costs $150 to manufacture and the introductory price is to be $200 to achieve this level of sales. Any unsold units at the end of the season are unlikely to be very valuable and will be disposed off in a fire sale for $50 each. It costs $20 to hold a unit in inventory for the entire season. How many units should Green Thumb manufacture for sale? What is the expected profit from this policy