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(7 points) For the given cost function C(x) = 3200 + 250x + 0.5x2 and the demand function p(x) = 750, where p(x) is the

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(7 points) For the given cost function C(x) = 3200 + 250x + 0.5x2 and the demand function p(x) = 750, where p(x) is the price charged to sell x units. Find the production level that will maximaze profit. Note that the above production level may not be a whole number, which in reality doesn't make sense. Thus to truly answer this question, you should look at the production levels that are whole numbers on either side of your answer, and figure out which one gives you the bigger profit for your answer. The realistic production level that will maximize profit is ' units. (If your first answer is a whole number, just re-enter it here.)

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