A company separates iron, zinc, and kryptonite from ore by the floatation separation process, which has three steps: oiling, mixing, and separation. These steps must be applied for 4, 5, and 1 hour respectively to produce one unit of iron; 4, 4, and 1 hour respectively to produce one unit of zinc; and 1, 1, 5 hours respectively to produce one unit of kryptonite. Because of limited access to equipment, the oiling and separation phases can each be in operation for a maximum of 38 hours per week, and the mixing process can be in operation for a maximum of 39 hours per week. The company makes a profit of $20 per unit of iron, $35 per unit of zinc, and $25 per unit of kryptonite. Assuming that the demaind for each metal is unlimited, how many units of each metal should the company produce each week to maximize its profit?
Number of units of iron = 0
Number of units of zinc = ?
Number of units of kryptonite = ?
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