a) A manufacture of truck producer you need 4 truck tires (x) for 1 frame (y). The demand function

for t is X=126 - 0.5Px and the demand function for f is y=120 -2/3py. The total cost of the firm is:

TC=2x^2 + 2xy + 2y^2 + 380 . Use the Lagrange Multiplier method of constrained optimization optimize the profit, and find all the optimal values.