Math 229 Lab 15: Section 13.3 Name. 2. The cost function to produce q electric cat brushes is given by C(q) = -10q2 + 250q. The demand equation is given by p = -q2 - 3q + 299, where p is the price in dollars. (a) Find and simplify the profit function. Profit =P (b) Using the Second Derivative Test find the number of brushes that will produce the maximum profit. (c) Find the price that produces the maximum profit. (d) Find the maximum profit. (e) Find the point of diminishing returns for the profit function. age 2Math 229 Lab 15: Section 13.3 Name: Use good notation and show all of your work. Write solutions to word problems in a sentence. 1. The revenue R(x) generated from sales of an automatic treat thrower for pets is related to the amount x spent on advertising by R(x) = 15006 (600x2 - x3), 0