Question

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 _____(# of hours) hours toward meeting each of ( 2/3/4/5/6/7/or8)milestones and ______ (# of hours) hours toward meeting each of the remaining______(2/3/4/5 or 6) sales milestones.

Answer 1

Answer: Please refer to Explanation

Step-by-step explanation:

The Manager has only 160 hours to allocate to all the milestones. However he cannot slack in any milestone as missing even a penny means he won't get a benefit and each milestone takes 20 hours to do.

With 160 hours what can he accomplish,

= 160/20

= 8 milestones.

Answer therefore is,

In order to maximize the total monthly bonus, the manager should allocate ____20____ hours toward meeting each of ____8____milestones and ___0____ hours toward meeting each of the remaining___2___ sales milestones.

He will have to forego 2 milestones but at least he will have been able to complete 8 milestones effectively.