C2 Application of Differentiation!Watch
Show that the volume, V cm^3, of the tray is give by: V=4x(x^2-45x+500). State the range of possible values of x and find the value of x for which V is a maximum.
V=max at dV/dx=0
V=4x^3 - 180x^2 + 2000x
x=7.3623... as x<20 (since otherwise x will have chopped all and more of the 40cm side of the card)