Data Warehouse Operation. Hudson Corporation is considering three options for managing its data warehouse: continuing with its own staff, hiring an outside vendor to do the managing, or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand.

a$.$ If the demand probabilities are $0\mathrm{.}2,0\mathrm{.}5,$ and $0\mathrm{.}3,$ which decision alternative will minimize the expected cost of the data warehouse? What is the expected annual cost associated with that recommendation?