You have been asked to coordinate staffing for volunteers at the front desk for an open house in the College of Wonderful Resources during one of the home football games. Greeters are needed from 8 am to 5 pm. Specific schedule of needed volunteers is as follows: 2 between 8 am and 10 am, 3 between 10 am and 11 am, 4 between 11 am and 1 pm, 3 between 1 pm and 5 pm. Each greeter will volunteer for 3 consecutive hours except for those who may start at 3 (they would work 2 hours till 5 pm), and those who may start at 4 (they would work 1 hour till 5 pm). Volunteers can start at any hour except lunch time - no volunteer starts a shift at 12 noon.
Develop an LP tableau for determining the optimal schedule of shifts to minimize total number of volunteers needed for this open house.