Telephone calls arrive at a global airline reservation office in Louisville according to Poisson distribution with a mean of 3.5 calls per minute what is the probability of receiving exactly 3 calls during a one minute interval
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- a. Assume that the cost of goods sold is 60% and that the monthly discount rate is 1%. Looking at the values in the exhibit above, you note that the average monthly revenue for a subscribed customer rises as the company sends more emails. In addition, the average monthly revenue for an unsubscribed customer also rises as the company sends more emails. What could explain both of these patterns? b. Calculate the 6-month LTV for each of the four tested email frequencies. Please show the spreadsheet with your calculations and be clear about any assumptions you are making. c. Based on this test, how many emails-per-week should the company be sending to its customers? This email frequency should apply to all customers; the company doesn't want to implement a different email frequency for different kinds of peopleBrightLine Medical Products delivers medical supplies to small offices across the metro area. The typical BrightLine customer orders $1,200 worth of supplies in the average month. BrightLine believes that the average customer stays with BrightLine for 2.4 years. What is BrightLine's MONTHLY CHURN RATE for these small office customers? (Report your answer as a percent. Report 25.5%, for example, as "25.5". Rounding: tenth of a percent.) ANSWER IS: (3.5), but HOW is that the answer? Please explain.Assume Intervale Railway is considering hiring a reservations agency to handle passenger reservations. The agency would charge a flat fee of $13,000 per month, plus $3 per passenger reservation. What is the total reservation cost if 200,000 passengers take the trip next month? $613,000 $3.07 $600,000 $13,000
- For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. Construct a time series plot. What type of pattern exists in the data? Compare a three-month moving average forecast with an exponential smoothing forecast for α = 0.2. Which provides the better forecasts using MSE as the measure of model accuracy? What is the forecast for next month?Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911 calls is a random variable that can be described by the Poisson distribution. a. What is the expected number of 911 calls in one hour? b. What is the probability of three 911 calls in five minutes? c. What is the probability of no 911 calls during a five-minute period?Analyze Pacific Airways Pacific Airways provides air travel services between Los Angeles and Seattle. Cost information per flight is as follows: Each flight has a capacity of 150 seats, with an average of 125 seats sold per flight at an average ticket price of 180. Assume Pacific Airways is considering a new service that would provide tickets at half price. Passengers would need to fly standby to receive the discount, but would be provided a flight for a given day of travel. An analysis revealed that an average of 8 existing passengers would use the new discounted tickets for travel. In addition, 15 new passengers would be attracted to the offer. a. Determine the contribution margin per passenger for the full-priced ticket. b. Determine the break-even number of seats sold per flight. c. Determine the contribution margin per passenger for discounted tickets. d. Should Pacific Airways offer the discounted ticket plan? Answer the question by computing the incremental contribution margin per flight for the plan.
- Assume that the traffic to the web site of Smileys People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.5 million visitors per day and a standard deviation of 820,000 visitors per day. a. What is the probability that the web site has fewer than 5 million visitors in a single day? b. What is the probability that the web site has 3 million or more visitors in a single day? c. What is the probability that the web site has between 3 million and 4 million visitors in a single day? d. Assume that 85% of the time, the Smileys People web servers can handle the daily web traffic volume without purchasing additional server capacity. What is the amount of web traffic that will require Smileys People to purchase additional server capacity?A hotel having 100 rooms of which 80% are normally occupied in summer and 25% in winter. Period of summer and winter be taken as 6 months each and normal days in a month be assumed to be 30. The total occupied room days will be a. 1525 Room days b. 18900 Room days c. 36000 Room days d. 72000 Room daysPassenger load on a flight Eastern Skies Airlines has three flights that depart from New York City and arrive in Chicago every day. The three flights are as follows: Flight Number Flight Departure Time Flight Frequency 57 8:00 AM 7 days per week 85 10:00 AM 7 days per week 94 11:30 AM 7 days per week Each flight uses a jet with a capacity of 180 seats. The airline measures the utilization of the aircraft by passenger load. Passenger load is the number of seats sold divided by the number of available seats on a flight for a time period. The following operating data are available for June: Flight Number Number of Seats Sold 57 5,130 85 2,592 94 2,376 a. Determine the available seat capacity for each flight number for June.fill in the blank 1 b. Determine the passenger load for each flight number for June. Flight Number Passenger Load 57 % 85 94 c. What recommendations could you provide Eastern Skies…
- Passenger load on a flight Eastern Skies Airlines has three flights that depart from New York City and arrive in Chicago every day. The three flights are as follows: Flight Number Flight Departure Time Flight Frequency 57 8:00 AM 7 days per week 85 10:00 AM 7 days per week 94 11:30 AM 7 days per week Each flight uses a jet with a capacity of 180 seats. The airline measures the utilization of the aircraft by passenger load. Passenger load is the number of seats sold divided by the number of available seats on a flight for a time period. The following operating data are available for June: Flight Number Number of Seats Sold 57 5,130 85 2,592 94 2,376 a. Determine the available seat capacity for each flight number for June.fill in the blank 1 b. Determine the passenger load for each flight number for June. Flight Number Passenger Load 57 fill in the blank 2 % 85 fill in the blank 3 94 fill in the blank 4 c.…The average time that Americans commute to work is 27.7 minutes (Sterlings Best Places, April 13, 2012). The average commute times in minutes for 48 cities are as follows: a. What is the mean commute time for these 48 cities? b. What is the median commute time for these 48 cities? c. What is the mode for these 48 cities? d. What is the variance and standard deviation of commute times for these 48 cities? e. What is the third quartile of commute times for these 48 cities?A hotel pays the phone company $200 per month plus $.15 for each call made. During January 7,000calls were made. In February 8,000 calls were made.Required:1. Calculate the hotel’s phone bills for January and February.2. Calculate the cost per phone call in January and in February.3. Separate the January phone bill into its fixed and variable components.4. What is the marginal cost of one additional phone call in January?5. What was the average cost of a phone call in January?