Finding the Price to Maximize Profit

A company that makes toy firetrucks has a price-demand function given by \(p(x)=-0.02x+45,\) where \(x\) is the number of trucks sold at a price of \(\$p\) each. The company has a weekly cost function, in dollars, given by \(C(x)=12x+1000,\) where \(x\) is the number of trucks manufactured each week. Determine the selling price of each truck that will maximize the company's profit.

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