A poster is to contain 600 cm of printed text

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A poster is to contain 600 cm

^2

of printed text. The margins are to be 2 cm on each side and 4 cm at the top and bottom. What width

w

of the printed region (to the nearest tenth of a centimeter) minimizes the total area of the poster? (a)

20.0\text{ cm}

(b)

17.3\text{ cm}

(c)

24.5\text{ cm}

(d)

12.2\text{ cm}