There are five types of boxes whose sizes and demands are given in the table below. The unit cost of a box is equal to its size, and there is an initial cost of $100 to produce each type of box. Assume that demand for a box may be satisfied with a larger box. The objective is to determine the number of each box type to minimize the cost of meeting demand. Formulate this problem as the shortest path problem by providing the network flow representation. You do not need to solve the problem.

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Percentage of molecules 20 16 Speed range (m/s) 0- 200 200 – 400 009 - 00 008 - 009 000I - 008 1000 - 1200