A rectangular advertising billboard must contain of display area

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A rectangular advertising billboard must contain 72 ft272\,\text{ft}^2 of display area. Framing along the top and bottom edges costs $12\$12 per foot, while framing along each side edge costs $20\$20 per foot. Let hh be the height of the billboard in feet. Determine the value of hh that minimizes the total framing cost.

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