Algebra
posted by Ariff .
4. A shipping crate has a square base with sides of length x feet, and it is half as tall as it is wide. If the material for the bottom and sides of the box costs $2.00 per square foot and the material for the top costs $1.50 per square foot, express the total cost of material for the box as a function of x.

c = 2(x^2 + 4*x(x/2)) + 1.50x^2 = 15/2 x^2
Respond to this Question
Similar Questions

calculus
A squarebased, boxshaped shipping crate is designed to have a volume of 16ft^3. The material used to make the base costs twice as much (per ft^2) as the material in the sides, and the material used to make the top costs half as much … 
Calculus
A company is designing shipping crates and wants the volume of each crate to be 4 cubic feet, and the crate's base to be a square between 1 and 1.5 feet per side. If the material for the bottom costs $5, the sides $3 and the top $1 … 
calculus
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $4 per square foot and the metal for the sides costs $4 per square foot. Find the dimensions that minimize cost … 
Calculus
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2 per square foot and the metal for the sides costs $7 per square foot. Find the dimensions that minimize cost … 
Calculus
A rectangular box with square base (which is NOT necessarily a cube) and NO top is to be made to contain 9 cubic feet. The material for the base costs $2 per square foot and the material for the sides $3 per square foot. Find the dimensions … 
Calculus
An open top box with a square base is to be made so that it holds 3 cubic feet. Assuming the material on the base costs $3 per square foot and the material on the sides costs $2 per square foot, determine the size of the base that … 
Calculus I
An open box with square base is to be constructed. The material for the base costs $10 per square foot. The material for the sides costs $1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box … 
Math
A rectangular box is to have a square base and volume of 78 feet cubed. If the material for the base costs $.30 per square feet, the material for the sides costs $.10 per square foot, and the material for the top costs $.20 per square … 
Calculus
A box with square base and rectangular sides is being designed. The material for the sides costs 20 cents per square inch and that for the too and bottom costs 10 cents per square inch. The box is to hold 150 cubic inches. What dimension … 
Math
You were assigned to construct qn opentop box with a square base from two materials, one for the bottom and one for the sides. The volume of a box is 78 cubic inches. The cost of the material for the bottom is Php 4 per square inch, …