Question

A certain airline requires that the total outside dimensions (length + width + height) of a carry-on bag not exceed 44 inches. Suppose you want to carry on a bag whose length is twice its height. What is the largest volume bag of this shape that you can carry on a flight? (Round your answer to the nearest integer.)

Answer 1

L=2h
V = 2h^2w

Answer 2

Also
3h+w <= 44

Answer 3

Height. =x
Length =2x
Then, width=44-3x
Volume =(x)(2x)(44-x)
For maximum
d(V)/dx=0
Then find. X and put in
expression of V

Answer 4

Volume=(x)(2x)(44-3x)