Consider a manufacturer of a seasonal good. Based on extensive market research, the manufacturer estimates that demand X for the product will be
x={200 with probailitiy 0.2
{600 with probailitiy 0.3
{900 with probailitiy 0.4
{1600 with probailitiy 0.1
Suppose that the unit production cost is $50, the unit selling price is $120. In addition, when we reach the end of the selling season, each unsold item can be sold to discount stores at $20. Based on above information, how many units should the manufacturer produce?