Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.1 Surfaces and Level Curves, #31 · Multivariable Calculus · Partial derivatives

The hours in a day are limited by

The hours in a day are limited by $x + y = 24$ . Write $x^{2} y$ as $x^{2} (24 - x)$ and maximize to find the optimal number of hours to stay awake.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.1 Surfaces and Level Curves, #31

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