I want the answer of question in the picture uploaded. TIA!

3. A consumer has the following utility function U (x, y, z) = x + y + 2. He must maximise his utility subject to his budget constraint m 2 pax + pyy + pzz and non-negativity constraints x 2 0, y 2 0 and z 2 0. a. Write out the Lagrangian for this maximization problem b. Write the first order conditions for this problem. c. Find the optimal values of consumption of x, y and z conditional on values of the exogenous variables (p,, p,, pz, m). Clearly state which of the constraints are binding in each case