this is the 4th one im stuck on

(20) In consumption of two goods at levels (x, y), a consumer has the following utility function and budget constraint u ( x, y ) = (3x2 + 2) (y + 1) B =1 Pra+ Pyy Given that B = $100, Px = $5, Py = $2 (ii) Form the Lagrange function for maximization of the utility subject to the budget constraint, and its 1st order conditions. (iii) Compute the optimal consumption levels of the two good and the value for the Lagrange multiplier. (iii) Verify that the optimal consumption levels satisfy the budget con- straint