Mathematics, 01.07.2019 02:30 bettylou12504
Abox is contructed out of two different types of metal. the metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs $10 per square foot. find the dimensions that minimize cost if the box has a volume of 15 cubic feet.
Answers: 1
and the total cost for these two squares is 
Then the total cost for sides is 
then ![12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.](/tpl/images/0037/1200/f41b3.png)
![\sqrt[3]{50}\ ft](/tpl/images/0037/1200/b7fd2.png)
![\dfrac{15}{\sqrt[3]{2500}}\ ft.](/tpl/images/0037/1200/77fd7.png)
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Abox is contructed out of two different types of metal. the metal for the top and bottom, which are...
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