Shampooch Is a Mobile Dog Grooming Service Firm That Has

question 14

Essay

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. $$\begin{array} { c c c } \text { Month } & \text { Subscribers St } & \text { Cum. Subscribers } C _ { t } \\1 & 0.42 & 0.42 \\2 & 2.56 & 2.98 \\3 & 3.81 & 6.79 \\4 & 4.47 & 11.26 \\5 & 3.54 & 14.80 \\6 & 2.61 & 17.41 \\7 & 1.90 & 19.31 \\8 & 0.83 & 20.14 \\9 & 0.59 & 20.73\end{array}$$

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Definitions:

Compression

A force that acts to compress or squeeze materials together.

Deposition

The geological process in which sediments, soil, and rocks are added to a landform or land mass, typically influenced by water, wind, or ice.

Crustal Material

Any geological materials that make up the crust of the Earth, encompassing rocks, minerals, and sediments.

Lithosphere

The lithosphere is the rigid, outer layer of the Earth, comprising the crust and the upper part of the mantle.