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Profit In an exercise earlier in this chapter, we saw that the profit (in thousands of dollars) that Aunt Mildred's Metalworks earns from producing $x$ tons of steel and $y$ tons of aluminum can be approximated by

$$P(x, y)=36 x y-x^{3}-8 y^{3}$$

Find the average profit if the amount of steel produced varies from 0 to 8 tons, and the amount of aluminum produced varies from 0 to 4 tons. (Hint: Refer to Exercises $61-64 .$ )

1024 thousands $

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Campbell University

Oregon State University

Harvey Mudd College

Boston College

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New Jersey Institute of Technology