Question $1)(25$ points$)$ Consider a machine in a manufacturing center that can process multiple types of products. During a day, the machine is available for $8$ hours. We have a set of potential items that can be processed on this machine and after the process, each item can be sold to a customer. Assume that we only can sell one copy of each item. Table below shows the processing times and the potential profit of each item.

$\backslash$table$[[$Item$,$A$,$B$,$C$,$D$,$E$,$F$],[\backslash$table$[[$Processing time$],[($minutes$)]],75,80,95,85,90,100],[$Revenue $($$$),432,412,754,679,545,723]]$