Individual Problems $21-6$

A convenience store manager earns a base salary plus a small bonus of $$80$ for each of ten different possible monthly milestones he meets. If the manager meets a milestone, the full bonus is paid. However, if the manager falls even one penny short, none of that bonus is paid. Suppose each of the ten milestones requires $20$ hours of effort to meet, and that the manager has $160$ hours of effort to allocate to work each month.

In order to maximize the total monthly bonus, the manager should allocate $$ hours toward meeting each of $q,$ milestones and hours toward meeting each of the remaining $$ sales milestones.