Under the assumptions that (1) as simulator training increases, required aircraft training decreases to some non-negative minimum and that (2) at any point, the rate at which required aircraft training decreases is a fixed proportion of the difference between present required training and the minimum required training achievable, the function relating x, the simulation training received, with y, the subsequent training required in the actual aircraft to attain criterion, will be of the form y = ae^-bx + c. This formulation has tremendous utility in allowing the training analyst to calculate the most cost effective mixes of simulator and aircraft training. This approach was applied in the U.S. Army's acceptance tests of the AH-1 flight simulator {AH1FS}. Non-linear regression analysis of data collected on some 30 individual maneuvers indicates the methodology is viable. A straightforward methodology for incorporating these results into analysis of the combined cost and training effectiveness of the AH1FS and similar training devices is presented.