Help with Analytics

[dmcgraw23]

I'm running analytics and need help setting up my formula. I remember from my calculus days there is a formula to find the optimal output but I cant remember, here is what I'm looking for:

I have a total rev per patient and I have total number of patients seen. Ive noticed as the number of patients increase the rev per patient decreases. I'm trying to find the optimal number of patients seen to have the highest rev per patient.

 

rev per patient tot patients

248.89 906

240.19 851

227.03 947

252.67 896

276.60 772

261.17 864

286.15 752

282.75 843

280.70 845

274.36 873

239.12 980