Refer to #$7$ on p$.338-9,$ but use this data instead:

Max $5$U $+8$H

s$.$t$.$

$40$U$+80$H $<=100000$

$0\mathrm{.}6$U$+0\mathrm{.}4$H $<=800$

$1$U $<=500$

U$,$H $>=0$

What is the optimal solution value for U$?$