Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
As the owner of a pizza delivery restaurant, you are constantly looking for ways to keep costs low while maintaining quality service. Because your profit margins are thin, you'd like the number of delivery drivers to be as low as possible. You receive orders from customers at an interarrival time of 6 minutes exponentially distributed. A driver can pick up one order, deliver it to a customer, and return back to the restaurant in 20 to 60 minutes, equally distributed. The corporate office mandates that you must have an average order delivery time of under 60 minutes. Some deliveries can be more than 60 minutes and some can be under 60 minutes, but on average they must be below one hour. You may hire as many drivers as you like. But hiring too many drivers will cause your payroll to be unnecessarily high and too few drivers will put you over the 60 minute delivery requirement. Assume that a driver can only deliver one order per round trip. Question: How many drivers are needed in order to keep average delivery times under one hour? 2/2014 - Pizza Delivery - 8 drivers

As the owner of a pizza delivery restaurant, you are constantly looking for ways to keep costs low while maintaining quality service. Because your profit margins are thin, you'd like the number of delivery drivers to be as low as possible. You receive orders from customers at an interarrival time of 6 minutes exponentially distributed. A driver can pick up one order, deliver it to a customer, and return back to the restaurant in 20 to 60 minutes, equally distributed. The corporate office mandates that you must have an average order delivery time of under 60 minutes. Some deliveries can be more than 60 minutes and some can be under 60 minutes, but on average they must be below one hour. You may hire as many drivers as you like. But hiring too many drivers will cause your payroll to be unnecessarily high and too few drivers will put you over the 60 minute delivery requirement. Assume that a driver can only deliver one order per round trip. Question: How many drivers are needed in order to keep average delivery times under one hour? 2/2014 - Pizza Delivery - 8 drivers

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
As the owner of a pizza delivery restaurant, you are constantly looking for ways to keep costs low while maintaining quality service. Because your profit margins are thin, you'd like the number of delivery drivers to be as low as possible. You receive orders from customers at an interarrival time of 6 minutes exponentially distributed. A driver can pick up one order, deliver it to a customer, and return back to the restaurant in 20 to 60 minutes, equally distributed. The corporate office mandates that you must have an average order delivery time of under 60 minutes. Some deliveries can be more than 60 minutes and some can be under 60 minutes, but on average they must be below one hour. You may hire as many drivers as you like. But hiring too many drivers will cause your payroll to be unnecessarily high and too few drivers will put you over the 60 minute delivery requirement. Assume that a driver can only deliver one order per round trip. Question: How many drivers are needed in order to keep average delivery times under one hour? 2/2014 - Pizza Delivery - 8 drivers
Transcribed Image Text:As the owner of a pizza delivery restaurant, you are constantly looking for ways to keep costs low while maintaining quality service. Because your profit margins are thin, you'd like the number of delivery drivers to be as low as possible. You receive orders from customers at an interarrival time of 6 minutes exponentially distributed. A driver can pick up one order, deliver it to a customer, and return back to the restaurant in 20 to 60 minutes, equally distributed. The corporate office mandates that you must have an average order delivery time of under 60 minutes. Some deliveries can be more than 60 minutes and some can be under 60 minutes, but on average they must be below one hour. You may hire as many drivers as you like. But hiring too many drivers will cause your payroll to be unnecessarily high and too few drivers will put you over the 60 minute delivery requirement. Assume that a driver can only deliver one order per round trip. Question: How many drivers are needed in order to keep average delivery times under one hour? 2/2014 - Pizza Delivery - 8 drivers
With flu season upon us, each of us has important decisions to make if and when we fall ill. In the interest of discussing decision trees, let's assume that you've picked up an illness but you're not sure if it is just a cold virus, a more severe flu virus, or a penicillin treatable bacterial infection. There are two alternatives for you to consider:1.) Whether or not to see the doctor and have the doctor run the test to determine if the illness is a cold, flu, or bacterial.2.) Whether or not to treat the illness with penicillin (which will only be effective against a bacterial illness). The cost to go to the doctor and have the test is $200 and the cost of a penicillin prescription is $50. The chance of the illness being a cold is 50%, flu is 20%, and bacterial is 30%. The test results also match these ratios. If the test indicates that it is a cold, then there is a 80% likelihood that it is a cold. If the test indicates a flu virus, then there is a 90% likelihood that it is the flu. If the test indicates that it is bacterial, then there is a 95% likelihood that it is a bacterial illness. The alternative outcomes are evenly divided among the likelihood balance. If the illness is a cold then you will miss 5 days of work which is a cost to you of $500. If the illness is the flu then you will miss 8 days of work at a cost to you of $800. If the illness is bacterial and is not treated you will miss 12 days of work at a cost of $1200. If you correctly treat the bacterial illness you will only miss 2 days of work at a cost of $200. Question: Should you see the doctor? 2/2008 - Decision Trees - Yes, $252.25
Transcribed Image Text:With flu season upon us, each of us has important decisions to make if and when we fall ill. In the interest of discussing decision trees, let's assume that you've picked up an illness but you're not sure if it is just a cold virus, a more severe flu virus, or a penicillin treatable bacterial infection. There are two alternatives for you to consider:1.) Whether or not to see the doctor and have the doctor run the test to determine if the illness is a cold, flu, or bacterial.2.) Whether or not to treat the illness with penicillin (which will only be effective against a bacterial illness). The cost to go to the doctor and have the test is $200 and the cost of a penicillin prescription is $50. The chance of the illness being a cold is 50%, flu is 20%, and bacterial is 30%. The test results also match these ratios. If the test indicates that it is a cold, then there is a 80% likelihood that it is a cold. If the test indicates a flu virus, then there is a 90% likelihood that it is the flu. If the test indicates that it is bacterial, then there is a 95% likelihood that it is a bacterial illness. The alternative outcomes are evenly divided among the likelihood balance. If the illness is a cold then you will miss 5 days of work which is a cost to you of $500. If the illness is the flu then you will miss 8 days of work at a cost to you of $800. If the illness is bacterial and is not treated you will miss 12 days of work at a cost of $1200. If you correctly treat the bacterial illness you will only miss 2 days of work at a cost of $200. Question: Should you see the doctor? 2/2008 - Decision Trees - Yes, $252.25
Expert Solution
steps

Step by step

Solved in 3 steps with 17 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS