Manpower Scheduling SteelCo has decided to hire temporary workers for a five day period to clear…

Manpower Scheduling SteelCo has decided to hire temporary workers for a five day period to clear out some unexpected orders. Each temporary worker can work either a two day shift or a three day shift for this period (shifts must be consecutive days). At least 10 workers are needed on days 1, 3, 5, and at least 15 workers are needed on days 2 and 4. A worker on a two day shift gets paid $125/day, while those on a three day shift get paid $100/day.

(a) Formulate the problem of hiring temporary workers to minimize cost while meeting the demand for workers. Also define your decision variables.

(b) Due to a limited number of training personnel, no more than 10 workers can start their shift on any day. Update your formulation in (a) to take this into account.

(c) Union regulations require that at least half of all money spent on workers go to those who work three day shifts. Update your formulation in (a) to handle this requirement.

(d) There are four people who are willing to work a shift consisting of days 1, 2, and 5, for a payment of $110/day. Update your formulation in (a) to handle this possibility