Astorage box with a square base must have a volume of 90 cubic centimeters. the top and bottom cost $0.60 per square centimeter and the sides cost $0.30 per square centimeter. find the dimensions that will minimize cost. (let x represent the length of the sides of the square base and let y represent the height.

Answer-

For side length of 3.56 cm and height of 7.10 cm the cost will be minimum.

Solution-

Let us assume that,

x represents the length of the sides of the square base,

y represent the height.

Given the volume of the box is 90 cm³, so

As the top and bottom cost $0.60 per cm² and the sides cost $0.30 per cm². Total cost C will be,

Then,

As C'' has all positive terms  so, for every positive value of x (as length can't be negative), C'' is positive.

So, for minima C' = 0

Then,

Therefore, for side length of 3.56 cm and height of 7.10 cm the cost will be minimum.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol