Question

A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square foot to build the base and $0.75 per square foot to build the sides. write the cost c ofconstructing the box as a function of x, y, and z

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is $x$ feet.

- The width is $y$ feet.

- The height is $z$ feet.

2. The box has one base. The cost of the base is:

$c1=4.20xy$

3. It has four sides. The cost of the sides are:

$c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy$

The answer is: The total cost is $c=c1+c2\\ c=4.20xy+1.5yz+1.5xy$