3. A manufacturer can produce digital recorders at a cost of $175 apiece and estimates that...

 

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3. A manufacturer can produce digital recorders at a cost of $175 apiece and estimates that if they are sold for x dollars apiece, consumers will buy approximately 1,000e002x cach week. a. Express the profit P as a function of x. Sketch the graph of P(x). b. At what price should the manufacturer sell the recorders to maximize profit? 3. A manufacturer can produce digital recorders at a cost of $175 apiece and estimates that if they are sold for x dollars apiece, consumers will buy approximately 1,000e002x cach week. a. Express the profit P as a function of x. Sketch the graph of P(x). b. At what price should the manufacturer sell the recorders to maximize profit?