The Material for Constructing the Base of an Open Box $x = y = 5.77$

Multiple Choice

The material for constructing the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. For a fixed amount of money $150.00, find theDimensions of the box of largest volume that can be made.

A) base dimensions: $x = y = 5.77$ ; height $: z = 4.33$
B) base dimensions: $x = y = 4.33$ ; height $: z = 5.77$
C) base dimensions: $x = y = 7.75$ ; height $: z = 4.33$
D) base dimensions: $x = y = 4.33$ ; height: $z = 7.75$
E) base dimensions: $x = y = 7.75$ ; height: $z = 3.06$