A uranium processor has two sources of uranium ore, Albuquerque andBainsville. In order to keep his plant running, at least three tons of ore mustbe processed each day. Ore from Albuquerque costs $20 per ton to process,and ore from Bainsville costs $10 per ton to process. Costs must be kept toless than $100 per day. Moreover, a business arrangement requires that theamount of ore from Bainsville cannot exceed twice the amount of ore fromAlbuquerque. Ore from Albuquerque yields 3 lbs of uranium per ton, and orefrom Bainsville yields 2 lbs of uranium per ton. Subject to these constraints,how many tons of ore from each source must be processed each day tomaximize the amount of uranium extracted? What is that maximumamount?
A uranium processor has two sources of uranium ore, Albuquerque and
Bainsville. In order to keep his plant running, at least three tons of ore must
be processed each day. Ore from Albuquerque costs $20 per ton to process,
and ore from Bainsville costs $10 per ton to process. Costs must be kept to
less than $100 per day. Moreover, a business arrangement requires that the
amount of ore from Bainsville cannot exceed twice the amount of ore from
Albuquerque. Ore from Albuquerque yields 3 lbs of uranium per ton, and ore
from Bainsville yields 2 lbs of uranium per ton. Subject to these constraints,
how many tons of ore from each source must be processed each day to
maximize the amount of uranium extracted? What is that maximum
amount?
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