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1. A mixture is to be made containing x units of food A and y units of food B. Food A weighs three ounce per unit; food B, five ounces per unit. Food A contains 0.5 ounces of nutrient per unit; food B, one ounce o nutrient per unit. The mixture is to have at least eight ounces of nutrient, and the total weight is not to exceed 45 ounces. Find the general solution, showing all permissible combinations of the two foods.
2. It takes two hours to make a unit of A and three hours to make a unit of B. The number of units of B must not be more than twice the number of units of A. If up to 36 hours are available to make A and B, find the permissible combinations of numbers of units of A and B.
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