This time, our immune system is the best defense. With this, a dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs50 per kg to purchase Food A and Rs70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture.

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