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Problem (2) A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p = $5 + 4,800 .3,000 D D2 , for D > 0. where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $2,000 per month and the variable cost (v.) is $35 per unit