2. MATH (20 points) 2a) Suppose a commodity Q has an inverse demand function p = 3q z and 100 units are being sold. What is the total consumer surplus from that commodity? 2b)Suppose a company that makes widgets has a total revenue function TR(x) = - 1000 r + 10 x and a total cost function TC(x) = 5,000 + 3x t x = number of widgets. Assume the company wishes to maximize profits. How many dgets should the company sell to maximize its profits