Ate Guy sells a particular model of fans, with most of the sales being made in the summer months. Ate Guy makes a one-time purchase of the fans prior to each summer season at a cost of P40 each and sells each fan for P60. Any fans unsold at the end of the summer season are marked down to P29 and sold in a special rainy season sale. Virtually all marked-down fans are sold. The following is the number of sales of fans during the past summers: 30, 50, 30, 60, 10, 40, 30, 30, 20, 40. (a) Estimate the mean and variance of the demand for fans each summer. (b) Assume that the demand for fans each summer follows a normal distribution, with mean and variance given by what you obtained in (a). Determine the optimal number of fans for Ate Guy to buy prior to each summer season.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

Ate Guy sells a particular model of fans, with most of the sales being made in the
summer months. Ate Guy makes a one-time purchase of the fans prior to each summer
season at a cost of P40 each and sells each fan for P60. Any fans unsold at the end
of the summer season are marked down to P29 and sold in a special rainy season sale.
Virtually all marked-down fans are sold. The following is the number of sales of fans
during the past summers: 30, 50, 30, 60, 10, 40, 30, 30, 20, 40.
(a) Estimate the mean and variance of the demand for fans each summer.
(b) Assume that the demand for fans each summer follows a normal distribution, with
mean and variance given by what you obtained in (a). Determine the optimal
number of fans for Ate Guy to buy prior to each summer season.

Expert Solution
steps

Step by step

Solved in 4 steps

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, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman