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A pharmaceutical company has 100 kg of A, 180 kg of B and 120 kg of C ingredients available per month. The company can use these materials to make three basic pharmaceutical products namely 5-10-5, 5-5-10 and 20-5-10, where the numbers in each case represent the percentage of weight of A, B and C, respectively in each of the products. Further, in each of the products, the remaining ingredient (apart from the ingredients A, B and C) is an inert ingredient. The cost of these raw materials is as follows: Ingredient Cost per kg (Rs) A 80 B 20 C 50 Inert ingredient 20 The selling price of these products are Rs 40.5, Rs 43 and 45 per kg, respectively. There is a capacity restriction of the company for product 5-10-5, because of which the company cannot produce more than 30 kg per month. Determine how much of each of the products the company should produce in order to maximize its monthly profits. Solve the problem using Simplex method.
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