The solution to the following problems is to be submitted in a single file. Acceptable formats are pdf, MS-word, or Excel. Use the first 7 letters (or less for shorter names) of your last name followed by the homework number to name the file Upload the assignment to the Homework 3 Box on Canvas. 1. Consider a product with the following lead time demand Lead time is one week. Given the following data CP=$200,CH=$5 per unit per year, and assuming 52 weeks per year and optimal order quantity ordering, if management sets the reorder point to R=19 units a. Find the "probability of satisfying demand in a cycle. b. Find the fill rate. c. What is the reorder point if management wants a 95% probability of satisfying demand per cycle? d. What is the reorder point if management wants to satisfy 95% of demand from existing stock e. Referring to part d, what is the expected number of units short per cycle