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?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...
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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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