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Creatine and protein are common supplements in most bodybuilding products.Bodyworks,a nutrition health store,makes a powder supplement that combines creatine and protein from two ingredients (X₁ and X₂).Ingredient X₁ provides 20 grams of protein and 5 grams of creatine per pound.Ingredient X₂ provides 15 grams of protein and 3 grams of creatine per pound.Ingredients X₁ and X₂ cost Bodyworks $5 and $7 per pound,respectively.Bodyworks wants its supplement to contain at least 30 grams of protein and 10 grams of creatine per pound and be produced at the least cost.
Determine what combination will maximize profits.
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