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5. Assume that C is a fixed (real-valued) constant. Find the dimensions of the box having the largest volume that fits inside of the

5. Assume that C is a fixed (real-valued) constant. Find the dimensions of the box having the largest volume that fits inside of the graph of the paraboloid z = x + y and below the plane z = C (with the top side of the box on the plane z = C). A cross-section of the box is illustrated for you below. z = x z = C

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