Solve clearly

Given these production functions and per unit input and output prices, and assuming fixed costs equal zero: a. Y = 36 + 81x1 + 72x2 - 0.45x12 - 0.3x22 p = $2.00; V1 = $72; v2 = $90 D. Y = 36 + 81x1 + 72x2 - 0.45x12 - 0.3x22 + 0.1x1X2 p = $2.00; v1 = $72; v2 = $90 1. Calculate the profit-maximizing input levels and the profit-maximizing output level for each production function. (Show your work.) Check the second-order conditions to verify the critical values satisfy requirements for a maximum. Calculate profit