There are three groups of patients as described below:

Group 1 (well children without a need for vaccination): 30% of the patients

Group 2 (well children with a need for vaccination): 20% of the patients

Group 3 (ill children): 50% of the patients

There are four resources: front desk, nurses for physical exam, physicians, and nurses for vaccination. All patients first need to check-in at the front desk, and then proceed to a nurse for physical exam that includes measuring weight and body temperature. Then, all patients are examined by a physician, followed by a final visit to the vaccination nurse (those that don't need a vaccination get their records checked). There are

2 front desk agents,

2 nurses for physical exam,

6 physicians

1 nurse for vaccination.

However, the time required for each of these activities varies depending on the group of the patient. All of the following activity times are expressed in minutes per patient (assume the information is steady throughout the day):

\f