You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 800 cm3. the material for the base of the box costs 5 cents/cm2 and the material for the sides of the box costs 7 cents/cm2. find the dimensions for a box that will minimize the cost of the materials used to construct box.

Step-by-step explanation:

Given

Volume of box is 800 cm^3

Let the dimension of base is and height of box be h

cost base

cost of sides

Total Cost

differentiate C w.r.t L to get maximum/minimum Value

d. vertex

step-by-step explanation:

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this