Zora, a fashion retailer, is getting ready to order a new dress for the upcoming season. Zora sells the dress at $349 during the season and marks down unsold dresses to $59 at the end of the season. Demand for this dress is very uncertain before the start of the season, but after observing sales over the first few days of the season, Zora can perfectly forecast total-season demand. Zora shares its initial forecast with its supplier, ClothingSource. The supplier offers two ordering opportunities, on day five of the season (at which point Zora has perfect knowledge of total-season demand) at a wholesale price of $130 per dress, and four weeks before the start of the season, with an advance purchase discount of 20% per dress. Dresses ordered before the season are delivered to Zora before the start of the season. Dresses ordered on day five of the season are delivered to Zora two days later. ClothingSource's production cost equals 60% of the net wholesale price charged to Zora. That is, producing in season is more expensive than producing before the season. For dresses that ClothingSource produces for Zora but cannot sell to Zora, ClothingSource can recover $39 per dress. a) What is the optimal service level for Zora's first order? (Assume that Zora will not run out of inventory before receiving the second order.) b) Suppose that Zora places a first order that is consistent with your answer in a). Should ClothingSource produce more dresses before the season than the quantity that Zora orders before the season? Why or why not? Please be specific in your answer and give a measure of how much ClothingSource should produce before the season.