The owners of a potato processing plant permit nearby farmers to rent their machines during the weekends. The rental fee is $50 per machine plus $30 per hour to rent the plant regardless of the number of machines used. How many machines should a farmer rent to minimize his cost for processing 25,000 bushels of potatoes if each machine can produce 75 bushels per hour?

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The owners of a potato processing plant permit nearby farmers to rent their machines during the weekends. The rental fee is $50 per machine plus $30 per hour to rent the plant regardless of the number of machines used. How many machines should a farmer rent to minimize his cost for processing 25,000 bushels of potatoes if each machine can produce 75 bushels per hour?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anyone help me set up the equations?
Should it all be part of the same equation?
i think its supposed to be two equations. It has to do with optimization and I know i'm supposed to take the derivative of one of the equations.

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Other answers:

What're you working on? What's the classification of this type of problem? I could google it. I honestly am unsure of how to go about this.
calculus. Optimization and Relative Extremas
See if these help you at all: http://www.mathhelpforum.com/math-help/f6/calculus-story-problem-optimization-minimization-91698.html http://en.allexperts.com/q/Advanced-Math-1363/2009/2/Word-Problems-1.htm
anyone else have ideas?i understand how to do it i think my calculus is just off.

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