A seller stocks at the beginning of the day an item that perishes that same day. On any given day the demand is either 1, 2, 3 or 4 items with probabilities 0.02, 0.05, 0.33 and 0.6. Each item costs to the seller $1 and he sells them for $1.16 each. If an item cannot be sold in the same day, the item perishes and it is a total loss for the seller. Compute the number of items that should be stocked at the beginning of the day to maximize seller's expected daily profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
A seller stocks at the beginning of the day an item that perishes that same day. On
any given day the demand is either 1, 2, 3 or 4 items with probabilities 0.02, 0.05,
0.33 and 0.6. Each item costs to the seller $1 and he sells them for $1.16 each. If an
item cannot be sold in the same day, the item perishes and it is a total loss for the
seller. Compute the number of items that should be stocked at the beginning of the
day to maximize seller's expected daily profit?
Transcribed Image Text:A seller stocks at the beginning of the day an item that perishes that same day. On any given day the demand is either 1, 2, 3 or 4 items with probabilities 0.02, 0.05, 0.33 and 0.6. Each item costs to the seller $1 and he sells them for $1.16 each. If an item cannot be sold in the same day, the item perishes and it is a total loss for the seller. Compute the number of items that should be stocked at the beginning of the day to maximize seller's expected daily profit?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,