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Chemkris wants to mix up 500 pounds of a diet food for aerobic students. There are two principal ingredients in the mixture, x1 and x2, both sources of protein. The first source of protein, x1, costs P15 a pound and x2 costs P12 a pound. Chemical constraints dictate the mixture contain no more than 300 pounds of x1 and at most 200 pounds of x2. Find the optimum product mix and the minimum cost.