| where Irt = | Laspeyres index value for the r-th region in year t, |
| Prjt = | value of the price proxy of the j-th cost in the r-th region in year t, |
| Prjo = | the value of Prjt in the beginning period t = 0, and |
| wrj = | the j-th cost share of hospitals in the r-th region. |