A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x – 0.2x2 + 0.001x3. When "x" caculoodles are produced, the price per caculoodle in dollars is p(x) = 50 – 0.025x. a) Write the Profit function, simplified completely. b) Use Calculus to find the production level (x) that maximizes profit. Also find the maximum profit. *Hint: Be sure to use a sign chart with the first derivative or the second derivative test to demonstrate you have a maximum.

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