Let the side of the square base be x, and the height of the box be h.
<span>The material of the base is x^2, and the material of the four sides is 4xh. </span>
<span>4000 = hx^2 </span>
<span>h = 4000/x^2 </span>
<span>The total material is </span>
<span>M = x^2 + 4x(4000/x^2) = x^2 + 16000/x </span>
<span>Take the first derivative of M and set equal to 0. </span>
<span>M' = 2x - 16000/x^2 = 0 </span>
<span>Multiply by x^2: </span>
<span>2x^3 = 16000 </span>
<span>x^3 = 8000 </span>
<span>x = 20; h = 10; M = 1200</span>
Answer:
I believe it is -2 1 minimum. I'm so sorry if it's wrong!
Answer:Terry need to purchase 
of tile and 
of carpet for a total area of 
Step-by-step explanation:
step 1
Find the square feet of tile
The area of the tile is equal to
step 2
Find the square feet of carpet
Remember that
The area of the carpet is equal to
10
1240 x 10 = 12400
12400 = 12400
