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A convenience store manager earns a base salary plus a small bonus of $140 for each...

A convenience store manager earns a base salary plus a small bonus of $140 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 _____milestones and hours toward meeting each of the remaining sales _____milestones.

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Answer #1

Manager earns bonus of $140 for 10 different milestones he meets monthly.

20 hours of effort is required to achieve 10 different milestones in order to get bonus.

Manager has 160 hours of effort monthly to allocate to work each month.

Calculation

Manager to meet 160/20 = 8 sales milestones.

after that manager has no more hours to allocate. So, the manager will spend no time trying to meet the remaining 10-8 = 2 sales milestone.

In order to maximize the total monthly bonus, the manager should allocate 20 hours towards meeting each of 8 milestones and 0 hours towards meeting each of the remaining sales 2 sales milestones.

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