Question: Find the optimal input combination for the following:
Q= 30X + 2XY -.5X2 -.5Y2 where Q is total output, X is worker hours, and Y is machine tool hours.
Given that the price of X is $25.00 per unit of X and the price of Y is $40.00 per unit of Y and MR is $.50, find the optimal input combination for this production relationship.