Cutting Edge Yard Care Is a Residential and Commercial Lawn

Essay

Cutting Edge Yard Care is a residential and commercial lawn service company that has been in business in the Atlanta metropolitan area for almost one year. Cutting Edge would like to use its Atlanta service subscription data below to develop a model for forecasting service subscriptions in other metropolitan areas where it might expand. The first step is to estimate values for p (coefficient of innovation) and q (coefficient of imitation). Formulate the appropriate nonlinear program. $$\begin{array} { c c c } \text { Month } & \text { Subscribers } S _ { t } & \text { Cum. Subscribers } C _ { t } \\1 & 0.53 & 0.53 \\2 & 2.04 & 2.57 \\3 & 3.37 & 5.94 \\4 & 4.85 & 10.79 \\5 & 5.14 & 15.93 \\6 & 3.90 & 19.83 \\7 & 2.26 & 22.09 \\8 & 1.43 & 23.52 \\9 & 0.98 & 24.50 \\10 & 0.42 & 24.92\end{array}$$