Please solve Problem 1,Q1

Problem 1 1 max u = log(g) + log(c) subject to 4 + s = w C = (1+r)s (budget constraint in period 1), (budget constraint in period 2). where u is the utility function, and w is the wage income in period 1, and 1+r is the interest rate between period 1 and period 2. and c and cy are the consumption level in period 1 and 2, respectively. S is the saving in period 1. 1/B is the discount factor. Solve the following maximization problem and derive the following. Q1: Derive the optimal values of c. Q2: Derive the optimal value of cz. Q3: Derive the optimal value of s