A magazine seller buys and sells magazines. The seller buys the magazines for 33 cents each and sells them for 50 cents each. Magazines not sold at the end of the day are sold as scrap for 5 cents each. Magazines can be purchased in bundles of 10. Thus, the magazine seller can buy 50, 60, and so on. There are three types of “magazine-days” (i.e. depicting sales performance or distribution) which are: ‘good’, ‘fair’, and ‘poor’, with probabilities of 0.35, 0.45, and 0.20, respectively. The distribution of magazines demanded on each of these days is given in the table below. Determine the optimal number of magazines the magazine seller should purchase by simulating demands for 20 days and recording profits from sales each day. Current policy stipulates that 70 magazines must be bought a day. N/B: The profits are given by the following relationship: Profit = Revenue - Cost of magazines - Lost profit from excess demand + Salvage from sale of scrap magazines.