In a Neighborhood Clinic, the Number of Patient Visits Can $f ( x , y ) = 1000 x ^ { 0.6 } y ^ { 03 }$

Essay

In a neighborhood clinic, the number of patient visits can be described as a function of the number of doctors, x, and the number of nurses, y, by $f ( x , y ) = 1000 x ^ { 0.6 } y ^ { 03 }$ .With upcoming budget cuts, the clinic must reduce the number of doctors at the rate of 2 per month.Estimate the rate at which the number of nurses has to be increased in order to maintain the current patient load.Currently there are 30 doctors and 50 nurses.