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Published byLucy Carr Modified over 2 years ago

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**Simulation of Inventory Systems EXAMPLE 2: The Newspaper Seller's Problem**

A classical inventory problem concerns the purchase and sale of newspapers. The paper seller buys the papers for 33 cents each and sells them for 50 cents each. Newspapers not sold at the end of the day are sold as scrap for 5 cents each. Newspapers can be purchased in bundles of 10. Thus, the paper seller can buy 50, 60, and so on. There are three types of newsdays, .good,. .fair,. and .poor,. with probabilities of 0.35, 0.45, and 0.20, respectively. The distribution of papers demanded on each of these days is given in Table 1. The problem is to determine the optimal number of papers the newspaper seller should purchase. This will be accomplished by simulating demands for 20 days and recording profits from s The profits are given by the following relationship: Profit= revenue from sales - cost of newspapers- lost profit from excess demand + salvage from sale of scrap paper sales each day.

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Day R.D. For type of newspaper Type of newspaper R.D. for Demand Demand Revenue from sale Lost profit from excess Salvage from sale of scrap Day profit 1 94 80 2 77 20 3 49 15 4 45 88 5 43 98 32 65 86 00 73 16 24 60 31 29 14 18 41 90

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