Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. (Round your answers to four decimal places.) If no calls are currently being processed, what is the probability that the agent can take 2 minutes for personal time without being interrupted by a call?
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- Next week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from past history that an average of 25 customers (with a standard deviation of 15) cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $125. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round-trip ticket on a future flight. The cost of this free round-tripticket averages $250. Super Discount considers the cost of flying the plane from New York to Los Angeles at a sunk cost. By how many seats should Super Discount overbook the flight?You are working for a large firm that has asked you to attend a career fair at a university that is 185 miles from your office. You need to be there at 9:00 a.m. on a Monday morning. You can drive your personal car and be reimbursed $0.55 per mile, but you would need to leave home at 5:30 a.m. to get to the event and set up on time. Company policy allows you to spend the night if you must leave town before 6:00 a.m. The hotel across the street from campus charges $85 per night. Instead of driving, you could catch a 7:00 a.m. flight with a round-trip fare of $260. Flying would require you to rent a car for $29 per day, and you would have an airport parking fee of $20 for the day. The company pays a per diem of $40 for incidentals if you spend at least 6 hours out of town. (The per diem would be for one 24-hour period for either flying or driving.) As a manager, you are responsible for recruiting within a budget and want to determine which is more economical. Use the information provided to answer these questions. A. What is the total amount of expenses you would include on your expense report if you drive? B. What is the total amount of expenses you would include on your expense report if you fly? C. What is the relevant cost of driving? D. What is the relevant cost of flying? E. What is the differential cost of flying over driving? F. What other factors should you consider in your decision between driving and flying?The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour.a. What is the average arrival time in minutes of customers?b. What is the average service time in minutes of the canteen?c. What is the probability that the canteen has a customer?d. What is the probability that the canteen does not have any customer?e. How long would the line be on average?f. How many people are waiting to be served on average?g. How long in minutes would it take the customer from lining up until he leaves the waiting line?h. How long in minutes would a customer wait to be served on average? i. Find the probability that there are 7 customers in the system.
- You are the manager of accounting for a company that sells computer software packages. You have just received word from the comptroller that there has been a change in the expense allowances for employees using their own cars on business. Previously one rate was applied to all employees, but now there will be different allowance rates for regular and nonregular drivers Effective immediately, regular drivers will receive $1.00 per mile for the first 650 miles driven per month, and 25¢ for each additional mile; nonregular drivers will receive 80¢ per mile for the first 150 miles per month, and 25¢ for each additional mile Regular drivers are those who use their own cars frequently on the job to drive to their sales territories. Nonregular drivers are those employees-such as home-office personnel-who only occasionally use their cars on business. To ensure that these categories are used properly, you have requested that the manager of each department notify Accounts Payable, in writing,…Consider the checkout process of a grocery store with ten identical cashiers performing the checkout process. First, assume that each cashier has her own separate checkout queue and that customers arrive at each case with an average arrival rate of 12 per hour. It takes 4.8 minutes on average to check a customer out. Assume that both the inter-arrival times and service times have a coefficient variation of 1. 1) How long on average does a customer wait from joining the queue in front of a cashier until her checkout is complete? 2) On average, how many customers are waiting in the queue in total? ( Including all queues)? 3) Now suppose the ten queues are pooled together so that there is one common queue. Repeat your calculations for part a and b, compare the results, and explain the differenceBobby, another enterprising barber, is thinking about advertising in the local newspaper since he is idle 45 percent of the time. Currently, customers arrive, on average, every 40 minutes. What does the arrival rate need to be for Bobby to be busy 85 percent of the time? Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.
- A small bank is trying to determine the number of tellersto employ. The total cost of employing a teller is $100 per day, and a teller can serve an average of 160 custom-ers per day. On average, 210 customers arrive per day at the bank, and both service times and interarrival times areexponentially distributed. If the delay cost per customerday is $200, how many tellers should the bank hire?Columbia Pizza and make a pizza in 10 minutes with the one oven that they have. Their late-night business among hungry college students is booming, and they average 5 pizza orders/hour from 9 PM – 11 PM. Between 5 PM and 9 PM, they average 3 pizza orders/hour. Assume that each person orders one pizza, and that people arrive according to a Poisson distribution. The owner of Columbia Pizza has discovered that if customers have to wait for more than 20 minutes from when they enter the shop to when they receive their pizza, they are likely to go next door to University Falafel, meaning that Columbia Pizza loses a $20 sale. The owner is thinking of buying a second oven and register (e.g. a second channel). The owner has analyzed that the total cost of operation (the amortized cost of the additional oven and the salary of the staff) would be $75 per night. What is the total revenue opportunity with one oven, given the 20 minute time constraint from entering the shop to receiving their pizza?…Chocolate Company is interested in cutting the amount of time between when a customer places an order and when the order is completed. For the first quarter of the year, the following data were reported: Inspection Time 0.5 days Process Time 2.8 days Wait Time 16.0 days Queue Time 4.0 days Move Time 0.7 days Compute the throughput time. Answer(days)
- . Electronic computers were coming to Dorothy’s section at Langley to perform more complicated and faster calculations than Dorothy’s all female workers. Normally it could take as long as a month to figure out a problem. With the new machines, how soon could the problem be solved? Group of answer choices A: One hour. B: By the end of two weeks C: As short as one week. D: Within a few hoursPLEASE SHOW YOUR SOLUTIONS PLEASE. THANK YOU! 2. An executive receives an annual salary of P600,000 and his secretary a salary of P180,000. A certain task can be performed by the executive working alone in four hours. If he delegates the task to his secretary it will require him 30 minutes to explain the work and another 45 minutes to check the finished work. Due to the unfamiliarity of the secretary to do the task, it takes her an additional time of 6 hours after being instructed. considering salary cost only, determine the cost of performing the task by each method, if the secretary works P2,400 hours a year and the executive 3,000 hours a year.The main office of a large bank has an annual turnover of 500 office workers. As an employment officer of this bank, discuss the sources you would use in obtaining replacement employees.