Reference no: EM131580348

Question: The Board of Trustees of a small hospital assumes that the daily operating expenses E can be expressed by the formula E = a + bx + cy, where a is the overhead, b is the cost per patient, c is the cost per resident physician, x is the number of patients, and y is the number of resident physicians. When there are 50 patients and 5 physicians in the hospital, the expense is found to be $6,050. When there are 40 patients and 2 physicians, the expense is $4,840. When there are 30 patients and 1 physician, the expense is $3,770. Find a, b, and c.