A food grocery purchases mooncakes for seasonal selling. The agent pays $25-per box to the mooncake brand owner for purchasing the mooncakes and sells it to the market at $75 per box. Any unsold stock can be returned to the mooncake brand owner for $10 per box. The mooncake brand owner can reuse the materials for making dim-sum. The food grocery makes the buying decision based on the following observations: Demand 40 50 60 70 80 90 100 110 120 130 Probability 0.04 0.06 0.16 0.18 0.2 0.1 0.1 0.08 0.04 0.04 What is the optimal order quantity and the expected profit for the food grocery?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A food grocery purchases mooncakes for seasonal selling. The agent pays $25-per box to the mooncake brand owner for purchasing the mooncakes and sells it to the market at $75 per box. Any unsold stock can be returned to the mooncake brand owner for $10 per box. The mooncake brand owner can reuse the materials for making dim-sum. The food grocery makes the buying decision based on the following observations:

Demand 40 50 60 70 80 90 100 110 120 130
Probability 0.04 0.06 0.16 0.18 0.2 0.1 0.1 0.08 0.04 0.04


What is the optimal order quantity and the expected profit for the food grocery?

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