9. Find the values of (Q₁, Q₂) which maximize the following profit function π = 8Q₁ +4Q₂ +20₁0₂-07-07 under the constraint: Q₁ +Q₂ = 20. (Hint: Use Lagrange Multiplier Method) a. (8,4) V. (4,20) c. (10.5,9.5) d. (7.5,12.5) e. None 10. X and Y represent the outputs of two goods. The total cost function is TC = 2+3X² + 2Y²-0.5XY The market prices for X and Y are 10 and 15 per unit of the good, respectively. Determine the outputs that give the maximum profit. a. X-2, Y-4 X-4, Y-4 c. X-1, Y-2 d. X-5.Y-2 e. None
