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There are three major competators in the hot cereal market are General Mills, g, Kellogs, k, and Quaker,q. The equation below demonstrates a customers brand loyalty, described as a fraction of their existing customers. An equation represeting General Mills brand loyalty is below: g(k, q) = 11 + 8k + 4k² – 40q – 20kg + 40q² Calculate the critical points for this function. g(k, q) has a relative minimum v o at (g, k, q) :

There are three major competators in the hot cereal market are General Mills, g, Kellogs, k, and Quaker,q. The equation below demonstrates a customers brand loyalty, described as a fraction of their existing customers. An equation represeting General Mills brand loyalty is below: g(k, q) = 11 + 8k + 4k² – 40q – 20kg + 40q² Calculate the critical points for this function. g(k, q) has a relative minimum v o at (g, k, q) :

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 1E
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There are three major competators in the hot cereal market are General Mills, g, Kellogs, k, and Quaker,q. The equation below demonstrates a customers brand loyalty, described as a fraction of their existing customers. An equation represeting General Mills brand loyalty is below: g(k, q): 11 + 8k + 4k2 – 40q – 20ką + 40q? Calculate the critical points for this function. g(k, q) has a relative minimum o at (g, k, q) Interpreting the answer: At the very worst of General Mills hot cerial eaters would remain loyal to the brand. This would occur when customers remain loyal to Kellogs, and customers remain loyal to Quaker.
Transcribed Image Text:There are three major competators in the hot cereal market are General Mills, g, Kellogs, k, and Quaker,q. The equation below demonstrates a customers brand loyalty, described as a fraction of their existing customers. An equation represeting General Mills brand loyalty is below: g(k, q): 11 + 8k + 4k2 – 40q – 20ką + 40q? Calculate the critical points for this function. g(k, q) has a relative minimum o at (g, k, q) Interpreting the answer: At the very worst of General Mills hot cerial eaters would remain loyal to the brand. This would occur when customers remain loyal to Kellogs, and customers remain loyal to Quaker.
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