Problem 4 A bakery needs to evaluate two oven solutions for its renovations. It is currently considering two possible ovens, a small one for $1,250 and a large one for $2,500. Its operating requirements are as follows Item Small Oven Large Oven 125 Batch size (units) Processing time (min/unit) Cleaning time (min) Heating time (min) 50 1 0.5 20 30 10 15 According to operating instructions, both the small and large ovens must be cleaned after each batch and properly heated before each batch can be processed. The bakery estimates the demand for the next few years to remain steady at 300,000 units per year. Currently, the company operates 8 hours a day (with no overtime allowed) and 300 days a year. a. Calculate the daily production capacity of each oven (small and large). b. How many of the small ovens are needed to meet the production demand? What is the total cost? c. How many of the large ovens are needed to meet the production demand? What is the total cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
icon
Related questions
icon
Concept explainers
Topic Video
Question
Problem 4
A bakery needs to evaluate two oven solutions for its renovations. It is currently considering two
possible ovens, a small one for $1,250 and a large one for $2,500. Its operating requirements are
as follows
Item
Small Oven Large Oven
50
Batch size (units)
Processing time (min/unit)
Cleaning time (min)
Heating time (min)
125
0.5
20
30
10
15
According to operating instructions, both the small and large ovens must be cleaned after each
batch and properly heated before each batch can be processed. The bakery estimates the demand
for the next few years to remain steady at 300,000 units per year. Currently, the company operates
8 hours a day (with no overtime allowed) and 300 days a year.
a. Calculate the daily production capacity of each oven (small and large).
b. How many of the small ovens are needed to meet the production demand? What is the total
cost?
c. How many of the large ovens are needed to meet the production demand? What is the total
cost?
d. Calculate the rate of utilization of each option?
e. Considering the information calculated, which option is best in your opinion? Is there a third
option you could implement?
Transcribed Image Text:Problem 4 A bakery needs to evaluate two oven solutions for its renovations. It is currently considering two possible ovens, a small one for $1,250 and a large one for $2,500. Its operating requirements are as follows Item Small Oven Large Oven 50 Batch size (units) Processing time (min/unit) Cleaning time (min) Heating time (min) 125 0.5 20 30 10 15 According to operating instructions, both the small and large ovens must be cleaned after each batch and properly heated before each batch can be processed. The bakery estimates the demand for the next few years to remain steady at 300,000 units per year. Currently, the company operates 8 hours a day (with no overtime allowed) and 300 days a year. a. Calculate the daily production capacity of each oven (small and large). b. How many of the small ovens are needed to meet the production demand? What is the total cost? c. How many of the large ovens are needed to meet the production demand? What is the total cost? d. Calculate the rate of utilization of each option? e. Considering the information calculated, which option is best in your opinion? Is there a third option you could implement?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Inventory management
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,