Question
We need to make an open topped box with a square base and fixed volume of 8 cubic feet.
The material for the base costs $ 6 per square foot and the material for the side costs $4 per square foot. Write a function for the cost as a function of the length and side of the base
The material for the base costs $ 6 per square foot and the material for the side costs $4 per square foot. Write a function for the cost as a function of the length and side of the base
Answers
each side of the base ---- x ft
height of box ------------ y ft
x^2 y = 8
y = 8/x^2
cost = 6x^2 + 4xy
= 6x^2 + 4x(8/x^2)
cost = 6x^2 + 32/x
height of box ------------ y ft
x^2 y = 8
y = 8/x^2
cost = 6x^2 + 4xy
= 6x^2 + 4x(8/x^2)
cost = 6x^2 + 32/x
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