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A manufacturer believes that the cost function C(x) = (3/2)x^2 84x 600 approximates the dollar cost of producing x units ofa product. The manufacturer believes it cannot make a profit whenthe marginal cost goes beyond 270. What are the mostunits the manufacturer can produce and still make a profit? What isthe total cost at this level of production?The manufacturer can make up to units and still make aprofit. This leads to a total cost of

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