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:
Rituals
Established patterns of behavior or ceremonies that are performed by an organization or its members, often symbolic in nature.
Observable Culture
Aspects of an organization's culture that can be seen or felt, such as rituals, ceremonies, dress codes, and physical layout, offering insights into the organization's values.
Marketing Director
A professional responsible for overseeing and guiding a company's marketing strategy, campaigns, and team.
Environmental Culture
The collective practices, beliefs, and values regarding environmental conservation and sustainability within an organization or society.
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