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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 $.30 for each container of cookies. The cost of storing each container of cookies over the year is $.20. 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?
Hint: Show that the total production cost is given by the function .
Then minimize the function on the interval (0, 1,000,000) .
Distinction
A mark of difference or a characteristic that sets someone or something apart from others.
Gender Role
Social and behavioral norms that are considered appropriate for individuals of a particular gender within a societal context.
Gender Identity
A person's internal perception of their gender identity, which might not align with their birth-assigned sex.
Parents
Adults who have fathered or mothered a child, encompassing a wide range of roles and responsibilities related to the nurturing and care of offspring.
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