If the problem is to be solved by linear programming, do only the following: formulate, do only ONE complete pivot (i.e. move from the initial basis to the next basis). Comment on the status of the model at this second basis.

The registration desk for a COVID vaccination clinic has four stations in parallel. For the desk to operate correctly, at least one of the stations must operate successfully. The four employees available (labelled A,B,C,D) have different probabilities of absence depending on the station to which they are assigned due to the working conditions between the stations, as shown in the table below. The clinic will fail to run only if all of the employees are absent. To which station should each employee be assigned to minimize the probability that the clinic will fail to run? Only one optimum solution is needed