Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 1,000,000 1-lb containers. The setup cost for each production run is $250, and the manufacturing cost is $.20 for each container of cookies. The cost of storing each container of cookies over the year is $.80.
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Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
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Hint: Show that the total production cost is given by the function .
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Then minimize the function ?C on the interval (0, 1,000,000).
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__________ containers of cookies per production run
Fill in the blank(s) with the appropriate word(s).
25,000
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