5. (25pts) Suppose a quality manager is to make a decision between two manufacturing processes for the manufacture of a certain component. Process A costs 150 dollars per unit to manufacture a component. Process B costs 160 dollars per unit to manufacture a component. Components have an exponential time to failure distribution with mean time to failure of 300 hours for process A, while components from process B have a mean time to failure of 350 hours. Because of a warranty clause, if a component lasts less than 400 hours, the manufacturer must pay a penalty of 75 dollars. Based on the expected cost, would the quality manager select Process A? Explain why or why not? Show your work