Solve the problem $-$ Report the optimal value

Max $8x+4Y+2Z$

ST$.$

$2x+4Y10$

$5x+Y+2Z20$

$x+Y+Z5$

$x,Y,Z0$

$32\mathrm{.}86$

$31\mathrm{.}54$

$35\mathrm{.}42$

$33\mathrm{.}91$

$30\mathrm{.}05$