Finite Mathematics Quiz
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LINEAR MODELS AND SYSTEMS
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A recycling center processes two types of materials, Type A and Type B. The center earns a profit of $5 per ton of Type A and $8 per ton of Type B. The center can process a maximum of 100 tons of material per day in total. Processing requires a sorting machine, which can run for at most 8 hours (480 minutes) per day. It takes 3 minutes to sort a ton of Type A and 6 minutes to sort a ton of Type B. Furthermore, due to local regulations, the amount of Type B material processed cannot be less than half the amount of Type A material processed.
Let x be the tons of Type A material and y be the tons of Type B material. The center's goal is to maximize daily profit. Which of the following is the complete set of constraints for this problem?
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