The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 750 cubic inches. The material for the top costs $0.21 per square inch and the material for the sides and bottom costs $0.06 per square inch. Find the dimensions that will make the cost a minimum.
A) Dimensions are 15" by 10" by 4" (high).
B) Dimensions are 22" by 44" by 4" (high).
C) Dimensions are 5" by 10" by 15" (high).
D) Dimensions are 15" by 30" by 5" (high).
E) Dimensions are 4" by 8" by 22" (high).

Question

The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 750 cubic inches. The material for the top costs $0.21 per square inch and the material for the sides and bottom costs $0.06 per square inch. Find the dimensions that will make the cost a minimum. ​​
A) Dimensions are 15" by 10" by 4" (high).
B) Dimensions are 22" by 44" by 4" (high).
C) Dimensions are 5" by 10" by 15" (high).
D) Dimensions are 15" by 30" by 5" (high).
E) Dimensions are 4" by 8" by 22" (high).

Quizplus · Accepted Answer

The Answer of The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 750 cubic inches. The material for the top costs $0.21 per square inch and the material for the sides and bottom costs $0.06 per square inch. Find the dimensions that will make the cost a minimum. ​​
A) Dimensions are 15" by 10" by 4" (high).
B) Dimensions are 22" by 44" by 4" (high).
C) Dimensions are 5" by 10" by 15" (high).
D) Dimensions are 15" by 30" by 5" (high).
E) Dimensions are 4" by 8" by 22" (high).

The Base of a Rectangular Box Is to Be Twice