Question: Quiz 5) Consider the following nonlinear maximization problem with the nonlinear constraint (1), and suppose we want to solve it via dynamic programming. max0.25x3+y2+4.5zS.t.xyz=4x,y,z{1,2,4} a)

Quiz 5) Consider the following nonlinear

Quiz 5) Consider the following nonlinear maximization problem with the nonlinear constraint (1), and suppose we want to solve it via dynamic programming. max0.25x3+y2+4.5zS.t.xyz=4x,y,z{1,2,4} a) Clearly define stages, states, actions at each stage, and state transition function (relation between Sn and Sn+1)(+20 points) b) Use dynamic programming to solve this problem by constructing the usual tables. State the optimal solution. (+80 points)

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