Gelato (Capacity Analysis with Batching and Setup Times) Bruno Fruscalzo decided to set up a small production facility in Sydney to sell to local restaurants that want to offer gelato on their dessert menu. To start simple, he would offer only three flavors of gelato: fragola (strawberry), chocolato (chocolate), and bacio (chocolate with hazelnut). After a short time he found his demand and setup times to be Fragola| Chocolato 10 3/4 Вacio Demand (kg/hour) Setup time (hours)| 15 1/2 1/6 Bruno first produces a batch of fragola, then a batch of chocolato, then a batch of bacio and then he repeats that sequence. For example, after producing bacio and before producing fragola, he needs 45 minutes to set up the ice cream machine, but he needs only 10 minutes to switch from chocolato to bacio. When running, his ice cream machine produces at the rate of 50 kg per hour no matter which flavor it is producing (and, of course, it can produce only one flavor at a time). 1. Suppose Bruno wants to minimize the amount of each flavor produced at one time while still satisfying the demand for each of the flavors. (He can choose a different quantity for each flavor.) If we define a batch to be the quantity of all flavors produced in a single cycle, how many kilograms should he produce in each batch? 2. Given your answer in part 1, how many kilograms of fragola should he make with each batch? 3. Given your answer in part 1, what is the maximum inventory of chocolato? (Assume production and demand occur continuously at constant rates.)
Gelato (Capacity Analysis with Batching and Setup Times) Bruno Fruscalzo decided to set up a small production facility in Sydney to sell to local restaurants that want to offer gelato on their dessert menu. To start simple, he would offer only three flavors of gelato: fragola (strawberry), chocolato (chocolate), and bacio (chocolate with hazelnut). After a short time he found his demand and setup times to be Fragola| Chocolato 10 3/4 Вacio Demand (kg/hour) Setup time (hours)| 15 1/2 1/6 Bruno first produces a batch of fragola, then a batch of chocolato, then a batch of bacio and then he repeats that sequence. For example, after producing bacio and before producing fragola, he needs 45 minutes to set up the ice cream machine, but he needs only 10 minutes to switch from chocolato to bacio. When running, his ice cream machine produces at the rate of 50 kg per hour no matter which flavor it is producing (and, of course, it can produce only one flavor at a time). 1. Suppose Bruno wants to minimize the amount of each flavor produced at one time while still satisfying the demand for each of the flavors. (He can choose a different quantity for each flavor.) If we define a batch to be the quantity of all flavors produced in a single cycle, how many kilograms should he produce in each batch? 2. Given your answer in part 1, how many kilograms of fragola should he make with each batch? 3. Given your answer in part 1, what is the maximum inventory of chocolato? (Assume production and demand occur continuously at constant rates.)
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...
Related questions
Question
How can i solve this exercise?
Transcribed Image Text:Gelato (Capacity Analysis with Batching and Setup Times)
Bruno Fruscalzo decided to set up a small production facility in Sydney to sell to local restaurants that
want to offer gelato on their dessert menu. To start simple, he would offer only three flavors of gelato:
fragola (strawberry), chocolato (chocolate), and bacio (chocolate with hazelnut). After a short time he
found his demand and setup times to be
Fragola Chocolato
Вacio
Demand (kg/hour)
Setup time (hours)
10
15
5
3/4
1/2
1/6
Bruno first produces a batch of fragola, then a batch of chocolato, then a batch of bacio and then he
repeats that sequence. For example, after producing bacio and before producing fragola, he needs 45
minutes to set up the ice cream machine, but he needs only 10 minutes to switch from chocolato to
bacio. When running, his ice cream machine produces at the rate of 50 kg per hour no matter which
flavor it is producing (and, of course, it can produce only one flavor at a time).
1. Suppose Bruno wants to minimize the amount of each flavor produced at one time while still
satisfying the demand for each of the flavors. (He can choose a different quantity for each
flavor.) If we define a batch to be the quantity of all flavors produced in a single cycle, how many
kilograms should he produce in each batch?
2. Given your answer in part 1, how many kilograms of fragola should he make with each batch?
3. Given your answer in part 1, what is the maximum inventory of chocolato? (Assume production
and demand occur continuously at constant rates.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.