Solve for D & E

Handi Inc., a cell phone manufacturer, procures a standard display from LCD Inc. via an options contract. At the start of quarter 1 (Q1), Handi pays LCD \$4.70 per option. At that time, Handi's forecast of demand in Q2 is normally distributed with a mean of 33,000 and a standard deviation of 10,000. At the start of Q2, Handi learns exact demand for Q2 and then exercises options at the fee of $3.00 per option, (for every exercised option, LCD delivers one display to Handi). Assume Handi starts Q2 with no display inventory and displays owned at the end of Q2 are worthless. Should Handi's demand in Q2 be larger than the number of options held, Handi purchases additional displays on the spot market for $9.40 per unit. For example, suppose Handi purchases 39,000 options at the start of Q1, but at the start of Q2 Handi realizes that demand will be 44,000 units. Then Handi exercises all of its options and purchases 5,000 additional units on the spot market. If, on the other hand, Handi realizes demand is only 35,000 units, then Handi merely exercises 35,000 options. a. Suppose Handi purchases 39,000 options. What is the expected number of options that Handi will exercise? (Use the appropriate table(s) from Appendix B (Distribution, Inventory or Loss Function tables) along with the round-up rule. Do not round intermediate calculations. Round your final answer to the nearest whole number.) d. How many options should Handi purchase from LCD? (Use the appropriate table(s) from Appendix B (Distribution, Inventory or Loss Function tables) along with the round-up rule. Do not round intermediate calculations. Round your final answer to the nearest whole number.) Answer is complete but not entirely correct. Number of options Handi should purchase from LCD is 16,8001. e. What is Handi's expected total procurement cost given the number of purchased options from part d? (Use the appropriate table(s) from Appendix B (Distribution, Inventory or Loss Function tables) along with the round-up rule. Do not round intermediate calculations. Round your final answer to the nearest whole number.)