Shampooch is a mobile dog grooming service firm that has been quite successful developing a client base in the Dallas area. The firm plans to expand to other cities in Texas during the next few years. Shampooch would like to use its Dallas subscription data shown below to develop a model for forecasting service subscriptions in cities 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. 
Definitions:
Strategic HR Application
Involves aligning human resource management strategies with the business strategy to achieve competitive advantage.
Succession Management
The strategic process of identifying and developing potential future leaders or senior managers, as well as planning for the continuity of key roles within an organization.
Automation Capabilities
The extent to which a process, task, or job can be completed with minimal human intervention, through the use of technology or machines.
Artificial Intelligence
The simulation of human intelligence processes by machines, especially computer systems, including learning, reasoning, and self-correction.
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