Larry Ellison starts a company that manufactures high-end custom leather bags. He hires two employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is 1.7 days, with a standard deviation of 3 days. Larry expects to receive one customer order per day on average. The interarrival times of orders have a coefficient of variation of one. X Answer Is complete but not entirely correct. (Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.) What is the expected duration, in days, between when an order is received and when production begins on the bag? 30.39 8 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.Larry Ellison starts a company that manufactures high-end custom leather bags. Hehires two employees. Each employee only begins working on a bag when a customerorder has been received and then she makes the bag from beginning to end. The average production time of a bag is 1.8 days, with a standard deviation of 2.7 days. Larryexpects to receive one customer order per day on average. The interarrival times oforders have a coefficient of variation of one. What is the expected duration, in days,between when an order is received and when production begins on the bag?The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine shouldthe department rent to minimize expected total cost per hour?
- In a furniture manufacturing facility, there is a drilling shop with semi-automated machines. For an operator, it takes 20 seconds for a worker to move from one machine to the other. To load a drilling job to the machines a worker spends 3 minutes. Once loaded machines finish the drilling job in 4 minutes. The worker spends 40 seconds to conduct a quality check for the finished parts. If two machines are allocated to a worker which of the following will be true? Machines will have idle time Neither machines nor the worker will have idle time The worker and the machines both will have idle time Worker will have idle timeCalls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2.5per minute. The average time to handle each is 10seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. a) The probability that the operator is busy = enter your response here (round your response to two decimal places). b) The average time that a caller must wait before reaching the operator = enter your response here minutes (round your response to two decimal places). c) The average number of calls waiting to be answered = enter your response here calls (round your response to two decimal places).Consider an Erlang loss system. The average processing time is 3 minutes. The average interarrival time is 2 minutes. The number of servers is 4. What is the probability that all servers are busy?
- The Decision Sciences Department is trying todetermine whether to rent a slow or a fast copier. Thedepartment believes that an employee’s time is worth$15 per hour. The slow copier rents for $4 per hour,and it takes an employee an average of 10 minutes tocomplete copying. The fast copier rents for $15 per hour,and it takes an employee an average of six minutes tocomplete copying. On average, four employees per hourneed to use the copying machine. (Assume the copyingtimes and interarrival times to the copying machineare exponentially distributed.) Which machine shouldthe department rent to minimize expected total cost perhour?Based on Jacobs (1954). The Carter Caterer Company must have the following number of clean napkins available at the beginning of each of the next four days: day 1, 1500; day 2, 1200; day 3, 1800; day 4, 600. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs 50 cents per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs 30 cents per napkin, and these napkins can be reused two days after they are last used. New napkins can be purchased for a cost of 95 cents per napkin. Determine how to minimize the cost of meeting the demand for napkins during the next four days. (Note: There are at least two possible modeling approaches, one network and one nonnetwork. See if you can model it each way.)Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2.0 per minute. The average time to handle each is 15 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation. The probability that the operator is busy = 0.500.50 (round your response to two decimal places).The average time that a caller must wait before reaching the operator = 0.250.25 minutes (round your response to two decimal places). c) The average number of calls waiting to be answered = calls (round your response to two decimal places).
- Telephone calls come into an office at random. The time between calls is the following discrete distribution: Service time Probability 6 .40 7 .30 8 .20 9 .10 When the receptionist is busy, a telephone message tells the caller that the call is important and to please wait on the line until the next reservation agent becomes available. We can assume that customers don’t hang up once they join the call queue. The service time for call follows a normal distribution with a mean of 8 mins and standard deviation of 2.5 mins Simulate the operation of the office telephone system for 1100 customers. Discard the first 100 customers and use data over the next 1000 customers to answer the following questions: What is the average waiting time for customers? What is the utilization of the receptionist? What is the probability that a customer waits for longer than 1 min before their call is answered?During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.My home uses two light bulbs. On average, a light bulblasts for 22 days (exponentially distributed). When a lightbulb burns out, it takes an average of 2 days (exponentiallydistributed) before I replace the bulb.a Formulate a three-state birth–death model of thissituation.b Determine the fraction of the time that both lightbulbs are working.c Determine the fraction of the time that no light bulbsare working.