kindly solve it plz

6. [10 points] An agent's utility (satisfaction) function takes the form of u(x1, X2) = X, x2 where x, is the demand for good 1 and x2 is the demand for good 2. The agent wants to maximize utility but faces a budget constraint: 2x, + x2 = 400. Find an expression for the optimal demands for good 1 and for good 2, i.e. determine the quantities x, and x2 that maximize the agent's utility subject to the budget constraint