A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x - 0.2x + 0.001x. 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.