A small market orders copies of a certain magazine for its magazine rack each week. Let X = demand for the magazine, the following pmf. 1 3. 4 6 1 3 2 3 P(x) 15 15 15 15 15 15 Suppose the store owner actually pays $2.00 for each copy of the magazine and the price to customers is $4.00o. If magazines left at the end of the week have no salvage value, is it better to order three or four copies of the magazine? [Hint: For both three and four copies ordered, express net revenue as a function of demand x, and then compute the expected revenue.] What is the expected profit if three magazines are ordered? (Round your answer to two decimal places.) What is the expected profit if four magazines are ordered? (Round your answer to two decimal places.) How many magazines should the store owner order? O 3 magazines 4 magazines 2. %24

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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A small market orders copies of a certain magazine for its magazine rack each week. Let X = demand for the magazine, w
the following pmf.
1
2
1.
3
3
P(x)
15
15
15
15
15
15
Suppose the store owner actually pays $2.00 for each copy of the magazine and the price to customers is $4.00o. If
magazines left at the end of the week have no salvage value, is it better to order three or four copies of the magazine?
[Hint: For both three and four copies ordered, express net revenue as a function of demand X, and then compute the
expected revenue.]
What is the expected profit if three magazines are ordered? (Round your answer to two decimal places.)
$
What is the expected profit if four magazines are ordered? (Round your answer to two decimal places.)
$
How many magazines should the store owner order?
3 magazines
4 magazines
4.
Transcribed Image Text:A small market orders copies of a certain magazine for its magazine rack each week. Let X = demand for the magazine, w the following pmf. 1 2 1. 3 3 P(x) 15 15 15 15 15 15 Suppose the store owner actually pays $2.00 for each copy of the magazine and the price to customers is $4.00o. If magazines left at the end of the week have no salvage value, is it better to order three or four copies of the magazine? [Hint: For both three and four copies ordered, express net revenue as a function of demand X, and then compute the expected revenue.] What is the expected profit if three magazines are ordered? (Round your answer to two decimal places.) $ What is the expected profit if four magazines are ordered? (Round your answer to two decimal places.) $ How many magazines should the store owner order? 3 magazines 4 magazines 4.
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