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您好,手边有一提动态规划的问题解不出来想请大家帮我看一下,题目如下: Jack sells and manufactures smart phones. Every period, he can manufacture new phones using brand new components or he can manufacture refurbished phones using recycled components.Every period, Jack has to determine how many new phones to produce (Q3), how many refurbished phone to produce (Q2), and how many components to recycle (Q1). The quality of recycled component varies a lot. 60% of the chance all the components acquired is usable, and 40% of the chance 100 components out of total components acquired are not usable. The market price of the phone depends on how many phones are available to sell (Q) and is evaluated as following: The phones will be manufactured and recycled in a batch of 100 and the total capacity Jack have is 300 phones per period new and refurbished combined. The space of component inventory can only store 400 units of components. The unit cost of brand new component is $120, the unit cost to acquire a recycled component is $50, and the holding cost to hold a recycled component for one period is $0.25. The unit remanufacturing cost to produce a refurbished phone is $50. The unit manufacturing cost to produce a brand new phone is $20. (a) Formulate this problem as stochastic optimization problem. Clearly define the stages, decision variables, states, state transition, and recursive function. (b) If the planning horizon is 3 period, list all necessary tables used in calculation. Report your decisions and optimal profit. --



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