International Widget Co. uses aluminum, iron, and magnesium to produce widgets. The number of widgets that may be produced using x tons of aluminum, y tons of iron, and z tons of magnesium is Q(x, y, z) = xyz. The cost of raw materials is aluminum: $6 per ton; iron: $4 per ton; magnesium: $8 per ton. How many tons of aluminum, iron, and magnesium should be used to manufacture 1000 widgets at the lowest possible cost? Estons of aluminum Estons of iron Etons of magnesium

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