
Introduction to Management Science 12th Edition by Bernard Taylor
النسخة 12الرقم المعياري الدولي: 978-0133778847
Introduction to Management Science 12th Edition by Bernard Taylor
النسخة 12الرقم المعياري الدولي: 978-0133778847 تمرين 1
Draper, where Tech is located, does not have a commercial airport; instead residents who are flying on an airline must travel to the airport in Roanoke 40 miles away. The town council is considering a joint economic development plan with the local Chamber of Commerce and the university to start a bus service from the town to the airport in Roanoke with other stops on the way and back, that will operate 365 days per year. In order to have continuous daily service for the 1.5 hour round trip, 3 passenger buses, each with a seating capacity of 55 passengers, will need to be purchased at a cost of $400,000 apiece. Each bus will make 4 trips spread out during the day starting at 5 a.m. in order to deliver passengers to the airport in time for the first flight of the day, and they will pick up passengers up at the airport after the last scheduled flight of the day lands. Passengers who are going to work or school will also embark and disembark at various stops along the route. The operating cost per hour (including fuel and driver salary) for each bus is estimated to be $90 per hour per trip. The planned fare per rider is $4, regardless of where they get on or off the bus. Based on customer surveys, it is estimated that an average of 37 passengers will ride the buses each trip in the first year.
A. The town anticipates that the service will lose money the first year; how much will it lose
B. How many years will it take the service to break-even, if at all, during the 6-year life span of the buses
C. What would be the effect if the bus service ridership averages 45 passengers per trip 50 passengers per trip
D. If the trips per day per bus were reduced to 3 with a corresponding increase in passengers to 50 (due to increased demand for the fewer trips), what effect would this have
E. Because the bus service project has a "green" footprint by taking cars off of the road, and will also spur economic development by providing low-cost regular transportation from Draper to Roanoke, and from Roanoke to the university, the town believes it can get a federal grant to pay for the purchase of the buses. How would this effect the financial loss in the first year of operation, and the years it might take to break even
A. The town anticipates that the service will lose money the first year; how much will it lose
B. How many years will it take the service to break-even, if at all, during the 6-year life span of the buses
C. What would be the effect if the bus service ridership averages 45 passengers per trip 50 passengers per trip
D. If the trips per day per bus were reduced to 3 with a corresponding increase in passengers to 50 (due to increased demand for the fewer trips), what effect would this have
E. Because the bus service project has a "green" footprint by taking cars off of the road, and will also spur economic development by providing low-cost regular transportation from Draper to Roanoke, and from Roanoke to the university, the town believes it can get a federal grant to pay for the purchase of the buses. How would this effect the financial loss in the first year of operation, and the years it might take to break even
التوضيح
A.
The time taken by a bus to complete one round of the trip is 1.5 hours. There are 3 passenger buses available. Each bus makes 4 trips in a day.
Total number of hours spent by 3 buses in making 4 trips each day
hours.
Operating cost per hour for each bus
Cost of operating 3 buses in a day
Total cost of operating 3 buses for 365 days
Cost of purchasing a bus
Total cost of purchasing 3 buses
Total cost of purchasing and operating the buses for 365 days
Estimated number of passengers to travel in the bus
Planned fare per rider
Number of buses available
Number of trips made by each bus
Revenue earned by 3 buses that make 4 trips per day and carry an estimated 37 passengers with $4 fare per rider
Total revenue earned in 365 days
Thus, the town will lose
B.
Revenue earned by 3 buses in 365 days
Operating cost of 3 buses for 365 days
Amount of money earned over the operating cost in 365 days
Fixed cost spent in purchasing 3 buses
Amount of time required to pay for the cost of 3 buses
Thus, a total of 21 year would be required for the town to break even and the town will not be able to break even during the life span of 6 years of the buses.
C.
In case the bus ridership averages 45 passengers, the revenue earned will be
Total revenue earned in 365 days
Amount of money earned over the operating cost in 365 days
Fixed cost spent in purchasing 3 buses
Amount of time required to pay for the cost of 3 buses
Thus, the town would be able to break even in 6.08 years in case the ridership averages 45 passengers.
In case the bus ridership averages 50 passengers, the revenue earned will be
Total revenue earned in 365 days
Amount of money earned over the operating cost in 365 days
Fixed cost spent in purchasing 3 buses
Amount of time required to pay for the cost of 3 buses
Thus, the town would be able to break even in 4.21 years in case the ridership averages 50 passengers.
D.
The time taken by a bus to complete one round of the trip is 1.5 hours. There are 3 passenger buses available. Each bus makes 3 trips in a day.
Total number of hours spent by 3 buses in making 3 trips each day
hours.
Operating cost per hour for each bus
Cost of operating 3 buses in a day
Total cost of operating 3 buses for 365 days
Cost of purchasing a bus
Total cost of purchasing 3 buses
Total cost of purchasing and operating the buses for 365 days
Estimated number of passengers to travel in the bus
Planned fare per rider
Number of buses available
Number of trips made by each bus
Revenue earned by 3 buses that make 3 trips per day and carry an estimated 50 passengers with $4 fare per rider
Total revenue earned in 365 days
Amount of money earned over the operating cost in 365 days
Fixed cost spent in purchasing 3 buses
Amount of time required to pay for the cost of 3 buses
Thus, the town would be able to break even in 18.26 years in case the ridership averages 50 passengers and the number of trips per bus is 3.
E.
In case the town is able to get federal grant to pay for the buses, then the fixed cost spent in purchasing the buses will be eliminated.
Thus, the town will be no longer required to pay for the fixed cost which amounts to $1,200,000.
Thus, in the first year revenue earned is $648,240 and the town would be required to pay only for the operating cost which is $591,300.
Hence, the town will earn a profit of
The town would be able to break even in the first year itself.
The time taken by a bus to complete one round of the trip is 1.5 hours. There are 3 passenger buses available. Each bus makes 4 trips in a day.
Total number of hours spent by 3 buses in making 4 trips each day

Operating cost per hour for each bus













Revenue earned by 3 buses in 365 days





C.
In case the bus ridership averages 45 passengers, the revenue earned will be





In case the bus ridership averages 50 passengers, the revenue earned will be





D.
The time taken by a bus to complete one round of the trip is 1.5 hours. There are 3 passenger buses available. Each bus makes 3 trips in a day.
Total number of hours spent by 3 buses in making 3 trips each day

Operating cost per hour for each bus















E.
In case the town is able to get federal grant to pay for the buses, then the fixed cost spent in purchasing the buses will be eliminated.
Thus, the town will be no longer required to pay for the fixed cost which amounts to $1,200,000.
Thus, in the first year revenue earned is $648,240 and the town would be required to pay only for the operating cost which is $591,300.
Hence, the town will earn a profit of

Introduction to Management Science 12th Edition by Bernard Taylor
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