Question: 1. If y = 255 - x - x2 and y = 180 + (2/3)x2 - 21x, find x and y.
2. Find x and y given the functions
2y + 4x2 + 10x - 36 = 0 and 4y - 10x2 + 24x = 24
3. A monopoly faces the marginal cost function MC = 0.5q2 and the marginal revenue function MR = 200 - 4q, What output will maximize profits?