Each worker w has a bound h$($w$)0$ on how many hours they are available to work. Each job is specified by a set of workers S$($J$)$ W $$ who must all be assigned in order to work the job $$ and a value v$($J$)$ that we get for completing the job. Each job takes one hour to complete, but, we can pause the job early and still get a fraction of the value. For instance, if J is specified by $\{$Alice$,$ Bob$\}$ and v$($J$),$ then we could assign Alice and Bob to work J for an hour to get v$($J$)$ units of value, or$,$ we could also work J for a fraction of an hour and get the corresponding fraction of the total value $($e$.$g$.$ a half hour of work receives v$($J$)/2$ value$).$ The overall goal is to choose which jobs to assign to workers in order to maximize the total value. There is no limit on how many jobs that a worker can be assigned, as long as the total amount of time the worker works is below h$($w$)$