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For a certain company, the cost for producing x items is 55x + 300 and the revenue for selling x items is 95x - 0.5x2

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For a certain company, the cost for producing x items is 55x + 300 and the revenue for selling x items is 95x - 0.5x2 The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of x that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x +1; x - 1). The order of the list does not matter. To enter va , type sqrt(a). Part c' Is it possible e for the company to profit of $15 0002

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