Chemkris wants to mix up 500 pounds of a diet food for aerobic students. There are two principal ingredients in the mixture, x 1 and x 2 , both sources of protein. The first source of protein, x 1,...

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, x_1,costs $15 a pound and x₂costs $12 a pound. Chemical constraints dictate the mixture contain no less than 300 pounds of x₁and at most 200 pounds of x_2. Find the optimum product mix and the minimum cost.