$10\mathrm{.}13$A project has $11$ activities that can be accomplished either by one person working alone or by several people working together. The activities, precedence constraints, and time estimates are given in Table $10\mathrm{.}16.$ Suppose that you have up to five people who can be assigned on any given day. A person must work full days on each activity, but the number of people working on an activity can vary from day to day.