Intel and AMD are duopolists in the CPU market. Their products (Intel Core(R) and AMD RyzenTM) are slightly different, and the demand functions for their products are qI = 10 - 2PI + PA qA = 10 - 2PA + PI Notice that, the demand for each firm's product is higher if its own price is lower or if it's competitor's price is higher. Assuming marginal cost of CPU is 4 for both Intel and AMD. Derive the (Cournot) equilibrium production for Intel and AMD. (a) find the inverse demand function PI, PA as functions of qI and qA. (Hint: AMD's demand function implies PI = 2PA + qA - 10. Substitute PA out using Intel's demand function. You then have Intel's inverse demand function with PI on the left-hand-side, and qA and qI on the right-hand-side. Apply the similar procedure to find AMD's inverse demand function with PA on the left-hand-side, and qA and qI on the right-hand-side.) (b) Find the equilibrium price of CPU given the inverse demand functions from part (a),