A rectangular wooden beam 8 meters long must have a cross-sectional perimeter of meter

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A rectangular wooden beam 8 meters long must have a cross-sectional perimeter of

0.60

meter. If the cross section has width

w

meters and height

h

meters with

2w+2h=0.60

, which width

w

maximizes the volume of the beam? (a)

w=0.25\text{ m}

(b)

w=0.10\text{ m}

(c)

w=0.15\text{ m}

(d)

w=0.20\text{ m}