Problem 2: The owner of a ski apparel store in Winter Park, Co must make a decision in July regarding the number of ski jackets to order for the following ski season. Each ski jacket costs $54 each and can be sold during the ski season for $145. Any unsold jackets at the end of the season are sold for $45. The demand for jackets is expected to follow a Poison Distribution with an average rate of 80. The store owner can order jackets in lot sizes of 10 units.

To answer the following question(s) model in a spreadsheet of the situation.

a.How many jackets should the store owner order if she wants to maximize her expected profit?

b.What are the best-case and worst-case outcomes the owner may face on this product if she implements you suggestion?

c.How likely is it that the store owner will make at least $7,000 if she implements your suggestion?

d.How likely is it that the store owner will make between $6,000 and $7,000 if she implements your suggestion?