"A book editor is trying to decide whether or not to publish a
manuscript she has just received. If published, the manuscript will
either sell 2,000 copies or 5,000 copies. Before deciding whether
or not to publish the manuscript, the editor can send the
manuscript to a reviewer. The reviewer can either LIKE or DISLIKE
the manuscript.
If the book will sell 5,000 copies, there is a 0.68 probability the
reviewer will like the manuscript. If the book will sell 2,000
copies, there is a 0.21 probability the reviewer will like the
manuscript.
If the editor does not ask the reviewer for the reviewer's opinion,
there is a 0.48 probability the manuscript will sell 5,000
copies.
If the manuscript sells 5,000 copies, the editor's company will
EARN $285,000 in profit. If the manuscript sells 2,000 copies, the
editor's company will LOSE $228,000. If the editor decides not to
publish the manuscript, the company does not earn or lose any money
unless the editor asks the reviewer to read the manuscript. In
addition to the profit or loss from publishing the manuscript, the
cost to ask the reviewer for his opinion is $45,000. The editor
wants to maximize the expected value. Provide the expected value of
the optimal alternative for the editor. There are no interest rates
to consider in this problem."
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