Problem $07\mathrm{.}087-$ A beam with triangular distributed loads

Consider the given beam and loading

Problem $07\mathrm{.}087.$b $-$ Location and maximum value of the bending moment

Identify the magnitude and location of the maximum bending moment.

$($multiple choice$)$

Mmax $=1/4($w$0$L$^2),$ at x$=($L$/3)$

Mmax $=1/4($w$0$L$^2),$ at x$=($L$)$

Mmax $=1/27($w$0$L$^2),$ at x$=($L$)$

Mmax $=1/27($w$0$L$^2),$ at x$=($L$/3)$