Benetton has entered into a flexible quantity contract with a retailer for a seasonal product. If the retailer orders Q units. Benetton's cost of production is $ 20 and it charges the retailer a wholesale price of $ 36. The retailer sells the product to its customers at a price of $ 55 per unit each. For each unit that the retailer has leftover, the units are sold for $ 8 at the end of the season. The retailer forecasts that demand will be normally distributed, with a mean of 4,000 and a standard deviation of 1,600.

1-How many units should the retailer order from Benetton? 2-What is the expected quantity that the retailer will sell? 3-What is the retailer's expected surplus? 4-What is the retailer's expected profit? 5-What is the expected profit for Benetton?