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A manufacturer believes that the cost function $C(x)=25?x_{2}+115x+800$ approximates the dollar cost of producing $x$ units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $$415$. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production? The manufacturer can make up to units and still make a profit. This leads to a total cost of $$$

Cost function - C(x)=52x2+115x+800Mar