A dietician wishes to mix two types of food in such a way that the vitamin contents of the mixture contain at least `8` `units` of Vitamin A and `10` `units` of vitamin C, Food I contains `2` `units` `per` `kg ` of vitamin A and `1` `unit` `per` `kg` of vitamin C while food II contains `1` `unit` `per` `kg` of vitamin A and `2` `units` `per` `kg` of vitamin C. It costs `Rs` `50.00` `per` `kg` to purchase food I and `Rs.` `70.00` `per` `kg` to produce food II. Formulate the above linear programming problem to minimize the minimize the cost of such a mixture.