11.3-1. The owner of a chain of three grocery stores has purchased five crates of fresh strawberries. The estimated probability distribution of potential sales of the strawberries before spoilage differs among the three stores. Therefore, the owner wants to know how to allocate five crates to the three stores to maximize expected profit. For administrative reasons, the owner does not wish to split crates between stores. However, he is willing to distribute no crates to any of his stores. The following table gives the estimated expected profit at each store when it is allocated various numbers of crates: Store Crates 1 2 3 CESAT 5 9 14 17 061522 11 19 21 22 9 148382 20 Use dynamic programming to determine how many of the five crates should be assigned to each of the three stores to maximize the total expected profit. 2 012345
11.3-1. The owner of a chain of three grocery stores has purchased five crates of fresh strawberries. The estimated probability distribution of potential sales of the strawberries before spoilage differs among the three stores. Therefore, the owner wants to know how to allocate five crates to the three stores to maximize expected profit. For administrative reasons, the owner does not wish to split crates between stores. However, he is willing to distribute no crates to any of his stores. The following table gives the estimated expected profit at each store when it is allocated various numbers of crates: Store Crates 1 2 3 CESAT 5 9 14 17 061522 11 19 21 22 9 148382 20 Use dynamic programming to determine how many of the five crates should be assigned to each of the three stores to maximize the total expected profit. 2 012345
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:11.3-1. The owner of a chain of three grocery stores has purchased five crates of fresh
strawberries. The estimated probability distribution of potential sales of the strawberries
before spoilage differs among the three stores. Therefore, the owner wants to know how to
allocate five crates to the three stores to maximize expected profit.
For administrative reasons, the owner does not wish to split crates between stores. However,
he is willing to distribute no crates to any of his stores.
The following table gives the estimated expected profit at each store when it is allocated
various numbers of crates:
Store
Crates
1
2
3
CESAT
5
9
14
17
061522
11
19
21
22
9
148382
20
Use dynamic programming to determine how many of the five crates should be assigned to
each of the three stores to maximize the total expected profit.
2
012345
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