The time to complete an activity will vary between the teams because of the

different number of team members, the skills of the team, and the physical make$-$

up of the team because most projects involve manual labor. Following are the time

estimates $($in hours$)$ submitted by the six teams available to work on the projects

for the $12$ activities for the first Saturday in the event:

The DHCS$\text{'}$s primary objective is to complete all $12$ activities, if possible. Each team

can work on multiple projects but cannot work more than $8$ hours on Saturday. The

DHCS wants each team to be involved by working on at least one activity.

Questions $(50$ pts each$)$

A$.$ Determine the optimal assignment of teams to activities that will maximize

the number of activities completed.

B$.$ Determine the assignment of teams to activities if the DHCS wants to

complete all $12$ activities while minimizing the total time required for all six teams.

What, if any, is the difference between the two solutions. What is the average time

per team?