An electronics firm has a contract to deliver thefollowing number of radios during the next three months;month 1, 200 radios; month 2, 300 radios; month 3, 300radios. For each radio produced during months 1 and 2, a$10 variable cost is incurred; for each radio produced duringmonth 3, a $12 variable cost is incurred. The inventory costis $1.50 for each radio in stock at the end of a month. Thecost of setting up for production during a month is $250. Radios made during a month may be used to meet demandfor that month or any future month. Assume that productionduring each month must be a multiple of 100. Given thatthe initial inventory level is 0 units, use dynamicprogramming to determine an optimal production schedule.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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An electronics firm has a contract to deliver the
following number of radios during the next three months;
month 1, 200 radios; month 2, 300 radios; month 3, 300
radios. For each radio produced during months 1 and 2, a
$10 variable cost is incurred; for each radio produced during
month 3, a $12 variable cost is incurred. The inventory cost
is $1.50 for each radio in stock at the end of a month. The
cost of setting up for production during a month is $250.

Radios made during a month may be used to meet demand
for that month or any future month. Assume that production
during each month must be a multiple of 100. Given that
the initial inventory level is 0 units, use dynamic
programming to determine an optimal production schedule.

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