Blue Lotus is a bike shop located near a beach resort, which rents its bikes to guests staying in the resort. When a customer requests to rent a bike and no bikes are available (they are either with another customers or being cleaned for rental), customer waits until a bike is available. Once a bike rented out to a customer, the customer keeps it for an average of 1 day. Upon return, the bike is cleaned and tuned-up, which takes half a day (0.5 day). Suppose Blue Lotus has 7 bikes, and demand for bike rental is 4.1 per day. What is the average amount of time a customer waits to receive a bike? (Hint: From the perspective of customer waiting time, 0.5 day of cleaning time would be part of the processing time" so, p = 1+0.5 =1.5 days. Assume CVa = CVp = 1 in your calculations). O 1.197 days O 2.134 days O 0.761 days O 5.380 days
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.Ashley’s department store in Kansas City maintains a successful catalog sales department in which four clerk takes orders by telephone. If four clerks are occupied on four-lines, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party that has waited for the longest is transferred and answered first. Calls come in an average of 3 minutes. The clerk is capable of taking an order in an average of 10 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. a. λ= μ= b. Calculate P0 c. How many callers, on average, are waiting to place an order under the current operating system?A copier is able to operate for an average of 200 hours between repairs, and the mean repair time is two hours. Determine the availability of the copier.
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