1. Problem 10-05 (Algorithmic) Problem 10-05 (Algorithmic) The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. 2. Problem 10-07 (Algorithmic) In addition to the fuel cost, American Petroleum Supply charges MBC $225 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a 3. Problem 10-21 new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.07 per month, or $0.84 per year; and annual fuel usage is 105,000 4. Problem 11-05 gallons. MBC buses operate 210 days a year. 5. Problem 13-05 (Algorithmic) a. What is the optimal order quantity for MBC? 6. Problem 13-16 (Algorithmic) Q* = b. How frequently should MBC order to replenish the gasoline supply? orders per year c. The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks? Metropolitan Bus Company the capacity of its storage tanks. d. What is the reorder point? r = gallons - needs to expand does not need to expand_ Problem '10-05{Algorlthmic} Pmb'e'\" \"H\" (\"gm-\"'ml\") A large distributor of oilwell drilling equipment operated over the past two years with EOQ _ Problem 1007 (Algorithmic) policies based on an annual holding cost rate of 25%. Under the EDQ policy, a particular product has been ordered with a Q* = 100. A recent evaluation of holding costs shows that 2' _ -9 . . . . . . ' Problem 10 "1 because of an increase In the Interest rate assoaated with bank loans, the annual holding cost P bi 11 0:: rate should be 33%. _ l'CI Efl'l'l ' ._r a. Develop a general expression showing how the economic order quantity changes when the . Problem 1305 (Algorithmic) annual holding cost rate is changed from I to I'. Choose the correct answer below. _ _ Problem '13-'16 (Algorithmic) {i} I {ii} I Q5 = _.Q' Q: g _ Q. I _ I _ {iii} U = i t {iv} U = i t a Q I E Q Q I D W: V. b. Using the formula you derived in part a, compute the new economic order quantity for the product. Round your answer to the nearest whole number. The revised order quantity [2* for the new carrying charge I' is, Q\" = :1. 1. Problem 10-05 (Algorithmic) Problem 10-21 Apply the EOQ model to the following quantity discount situation in which D = 500 units per 2. Problem 10-07 (Algorithmic) year, Co = $40, and the annual holding cost rate is 20%. 3. Problem 10-21 Discount Discount Category Order Size (%) Unit Cost 4. Problem 11-05 1 0 to 99 0 $10.00 5. Problem 13-05 (Algorithmic) 2 100 or more 3 $9.70 6. Problem 13-16 (Algorithmic) What order quantity do you recommend? If required, round your answer to the nearest whole number.- _ Problem 10-05. (Algorithmic) th'e'" \"'05 The reference desk of a university library receives requests for assistance. Assume that a ' Problem 10"]? {Aigbrithmic} Poisson probability distribution with an arrival late of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution ' _ Problem 1021 with a service late of 12 requests per hour. - Problem 11-05 a. What is the probability that no requests for assistance are in the system? If required, round your answer to four decimal places. _ Problem 1305. {Aigorithmici U pa: _ Problem 1315 {Aigorithmic} b. What is the average number of requests that will be waiting for service? If required, round your answer to four decimal places. 3 WC] c. What is the average waiting time in minutes before service begins? If required, round your answer to nearest whole number. d. What is the average time at the reference desk in minutes {waiting time plus service time}? If required, round your answer to nearest whole number. e. What is the probability that a new arrival has to wait for service? If required, round your answer to four decimal places. U Pw= 1. Problem 10-05 (Algorithmic) Problem 13-05 (Algorithmic) The following profit payoff table shows profit for a decision analysis problem with two decision 2. Problem 10-07 (Algorithmic) alternatives and three states of nature. Suppose that the decision maker obtained the probability assessments P(S, ) = 0.65, P(S2) = 0.20, and P(S;) = 0.15. 3. Problem 10-21 State of Nature 4. Problem 11-05 Decision S1 S2 S3 Alternative 5. Problem 13-05 (Algorithmic) d1 150 150 75 6. Problem 13-16 (Algorithmic) d2 100 125 125 Use the expected value approach to determine the optimal decision. d . The optimal decision is