Champion manufactures winter fleece jackets for sale in the US. Demand for jackets during the season is normally distributed with a mean of 20,000 and standard deviation 10,000. Each jacket sells for $60 and costs $30 to produce. All leftover jackets at the end of the season are sold for $25 at the season-end clearance sale. Holding jackets until the season-end sales adds another $5 to their cost.

What is the optimal order quantity for Champion?

If they follow the optimal policy, how many jackets can they expect to sell at the regular price?

If they follow the optimal policy, how many jackets can they expect to sell atthe clearance price?

If they follow the optimal policy, how much profit can they expect?