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College Math

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A clarinet factory wants to maximize profits. They can produce 250 clarinets per week at a cost of $300 per clarinet, and sell them for $1000 per clarinet.
And, they can produce 350 clarinets per week at a cost of $275 per clarinet, and sell them for $900 each.
How much profit can they expect to earn if they make 400 clarinets per week?

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