The size of your carry-on piece is limited by the airline
so that the three measurements add to arrive at a single dimension,which in this case is 45
total “linear” inches. That is, length+width+height=45. For yourluggage, the height is to
be 4 inches less than the width.
(a) Write a function for the volume V as a function of x, the widthof the carry-on.
(b) Graph the function, being sure to label the x-intercepts.Provide your graph as part of
your work. (Hint: Make sure to zoom out enough on yourgraph!)
(c) Determine the dimensions so that the volume is as large aspossible. Round to the
nearest inch