Please work out this problem in full, will upvote

QUESTION ONE (a) Mr. Sakala is interested in developing and marketing a new drug. The cost of extensive research to develop the drug would be K100,000. The manager of research programme said that there is 60% chance that the drug will be developed successfully. The market potential is assessed as follows with present value of profit: 1 The present value figures do not include the cost of research. While Mr. Sakala was considering this proposal, another similar proposal came up which also required the investment of K100,000 . The present value of profit for the second proposal was K120,000 . The return on the investment in the second proposal is almost certain. i. Draw a decision tree for Mr. Sakala indicating all choices and events ii. What decision Mr. Sakala should take regarding the investment of K100,000 ? iii. If Mr. Sakala is a risk averter, should he change the decision given by you? (b) A tax consulting firm has 5 counters in its office to receive people who have problems concerning their income, wealth and sales taxes. On the average 75 persons arrive in an 8hour day. Each tax adviser spends 25 minutes on an average on an arrival. If the arrivals are Poissonly distributed and service times are according to exponential distribution, find i. The probability of there being no customer in the system ii. The average number of customers in the system iii. Average number of customers waiting to be served iv. Average time a customer spends in the system v. Average waiting time for a customer