One of the most important products of a multinational IT company is produced in two of its factories and is mostly available in three main clients of the firm. The two factories will produce over the next period 600 and 400 units of the product respectively. The company is committed with contracts for the sale of 500 units to the first client and at least 200 units to the second. Also the second and third clients both want to buy as many of the remaining units of the product. The net profit from the sale of each unit depends on its origin (factory) and the destination (client) and ranges according to the following table Client Factory 1 2 3 50000 70000 60000 20000 30000 50000 How exactly should the 1000 units of the product be allocate in order to maximize the total profit?
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