Question 1: Lou operates a cab service specifically tailored to provide safe and comfortable transportation for seniors in his town. He owns five cabs, each staffed by a dedicated driver. Upon receiving a service call, Lou promptly dispatches one of these drivers to pick up the customer. The operational details are as follows: • • • Each driver takes an average of 15 minutes to arrive at the customer's location after being dispatched. The journey from the customer's pickup location to their destination averages 25 minutes. Lou's service receives an average of 2.5 calls per hour. For analytical purposes, you can assume that both the arrival of service calls (demand) and the service times have coefficients of variation (CV) equal to 1. (a) What is the average waiting time for a customer from the moment they place a service call to Lou until a cab arrives to pick them up? (For answering this question carefully think about different stages of processes, and what a customer is doing in each stage. It will be helpful to draw a process flow diagram).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question 2: Maplewood Confections is a wholesale pastry producer that supplies desserts like tarts and cupcakes to a variety of cafes and delicatessens. Sugar is a critical ingredient in most of their recipes, and they use it consistently. Their current strategy involves ordering 16,000 pounds of sugar every four weeks. Since they operate 5 days a week and approximately 250 days a year, this schedule translates to about 20 working days per order cycle. Their supplier offers sugar in 50-pound bags at a cost of $20 per bag. Each time an order is placed, Maplewood incurs a fixed cost of $64. The annual cost of holding inventory is calculated at 25%. a) Determine Maplewood Confections' annual inventory-related costs (both holding and ordering) under their current ordering regime. Also, calculate the inventory costs per unit of demand. Is there a more efficient ordering policy that you can recommend? Due to an expansion in business, Maplewood has gained numerous new contracts, effectively doubling their weekly sugar requirements. The purchasing manager wants to maintain the simplicity of ordering once every four weeks but suggests doubling the order quantity instead. The lead baker prefers a more frequent ordering schedule, recommending an order of 16,000 pounds every two weeks. b) What would be the annual total inventory costs and the per-unit inventory costs under the purchasing manager's plan? What about under the lead baker's plan? c) What is the optimal order quantity for Maplewood Confections? What are the associated annual total inventory costs and per-unit inventory costs under this optimal ordering quantity?
Question 1:
Lou operates a cab service specifically tailored to provide safe and comfortable transportation for
seniors in his town. He owns five cabs, each staffed by a dedicated driver. Upon receiving a service
call, Lou promptly dispatches one of these drivers to pick up the customer. The operational details
are as follows:
•
•
•
Each driver takes an average of 15 minutes to arrive at the customer's location after being
dispatched.
The journey from the customer's pickup location to their destination averages 25 minutes.
Lou's service receives an average of 2.5 calls per hour.
For analytical purposes, you can assume that both the arrival of service calls (demand) and the
service times have coefficients of variation (CV) equal to 1.
(a) What is the average waiting time for a customer from the moment they place a service call to
Lou until a cab arrives to pick them up? (For answering this question carefully think about different
stages of processes, and what a customer is doing in each stage. It will be helpful to draw a process
flow diagram).
Transcribed Image Text:Question 1: Lou operates a cab service specifically tailored to provide safe and comfortable transportation for seniors in his town. He owns five cabs, each staffed by a dedicated driver. Upon receiving a service call, Lou promptly dispatches one of these drivers to pick up the customer. The operational details are as follows: • • • Each driver takes an average of 15 minutes to arrive at the customer's location after being dispatched. The journey from the customer's pickup location to their destination averages 25 minutes. Lou's service receives an average of 2.5 calls per hour. For analytical purposes, you can assume that both the arrival of service calls (demand) and the service times have coefficients of variation (CV) equal to 1. (a) What is the average waiting time for a customer from the moment they place a service call to Lou until a cab arrives to pick them up? (For answering this question carefully think about different stages of processes, and what a customer is doing in each stage. It will be helpful to draw a process flow diagram).
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