Ill. Victory is a manufacturer of ski apparel. A ski jacket is sourced (purchased from the supplier) at a cost of $80 and sold for $125. A single order is placed for the jacket at the beginning of the season. Currently, Victory disposes of any unsold jackets at the end of the season to an outlet store for $70. It costs $10 to hold a jacket in inventory for the entire season and then ship it to the outlet store. Demand for ski jackets is forecast to be normally distributed with a mean of 4,000 and a standard deviation of 1,750 for the upcoming season. ( Helpful hint: use the Victory Fleeces Model for your analysis). a. Assuming only one order can be made, how many jackets should Victory order for the upcoming season if it wants to maximize its expected profit? What is the expected profit for this order quantity? C. How many units does Victory expect to have to send to the outlet store at the end of the season? d. Victory is considering another option under which any leftover jackets at the end of the season will be shipped to South America and sold there. Inclusive of all costs, Victory expects the salvage (discount) value to increase to $75 with this option (because this is inclusive of all costs the salvage value is $75 and the inventory holding costs and shipping costs to South America and set equal to zero under this option). How will this change affect the quantity ordered and the expected profit? What will be the expected number sent to South America under this option? Finally, do you recommend that Victory use the South American option? Why or why not