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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

User Kdgregory
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1 Answer

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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

User Zhe Hu
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