Textbook prices have a seasonal structure on Ebay. At the end of a term, the supply of used books outstrips demand, and the price is lower. Near the start of a term, many students are looking for books, and the price is higher. Suppose we can classify sales for a particular chemistry textbook into these two time periods and an "other" time period in the proportions shown below. We have also listed the average price the textbook sells for in each of these three time periods

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Textbook prices have a seasonal structure on Ebay. At the end
of a term, the supply of used books outstrips demand, and
the price is lower. Near the start of a term, many students
are looking for books, and the price is higher. Suppose we can
classify sales for a particular chemistry textbook into these
two time periods and an "other" time period in the
proportions shown below. We have also listed the average
price the textbook sells for in each of these three time
periods
Start-of-
End-of-
Other
term
term
Sales
0.45
0.31
0.24
proportion
Average price
$82.52
$49.12
$65.23
For example, about 45% of Ebay auctions for this chemistry
textbook occur at the start of the term and the books sell for
an average of $82.52 during this time. Using the information
above, compute the average price of the textbook over all
seasons. (Do not put a dollar sign in your answer.)
Transcribed Image Text:Textbook prices have a seasonal structure on Ebay. At the end of a term, the supply of used books outstrips demand, and the price is lower. Near the start of a term, many students are looking for books, and the price is higher. Suppose we can classify sales for a particular chemistry textbook into these two time periods and an "other" time period in the proportions shown below. We have also listed the average price the textbook sells for in each of these three time periods Start-of- End-of- Other term term Sales 0.45 0.31 0.24 proportion Average price $82.52 $49.12 $65.23 For example, about 45% of Ebay auctions for this chemistry textbook occur at the start of the term and the books sell for an average of $82.52 during this time. Using the information above, compute the average price of the textbook over all seasons. (Do not put a dollar sign in your answer.)
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