A Rectangular Box Is Resting on The $x y$ -Plane with One Vertex at the Origin

Multiple Choice

A rectangular box is resting on the $x y$ -plane with one vertex at the origin. The opposite lies in the plane Find the dimensions that maximize the volume. (Hint: Maximize $V = x y z$ subject to the constraint $2 x + 3 y + 5 z - 90 = 0$ ) .

A) 15 units $\times$ 12 units $\times$ 5 units
B) 11 units $\times$ 9 units $\times$ 5 units
C) 10 units $\times$ 9 units $\times$ 6 units
D) 15 units $\times$ 10 units $\times$ 6 units
E) 12 units $\times$ 11 units $\times$ 7 units