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categoryالاقتصاد والأعمال schoolبكالوريوس event_available2026-07-15

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A uranium processor has two sources of uranium ore, Albuquerque and Bainsville. In order to keep his plant running, at least four 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 4 lbs of uranium per ton, and ore from Bainsville yields 3 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? 1. Assign variables and use them to state the objective equation and the constraints. 2. Neatly graph the constraints, shade the feasibility region, and find its corner points. 3. Find the solution and state it fully in the context of the problem.

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