The value and interpretation of ∂ M ∂ c and ∂ M ∂ f when the fraction of Mazda car owners who chose another new Mazda can be modeled by the function M ( c , f , g , h , t ) = 1.1 − 3.8 c + 2.2 f + 1.9 g − 1.7 h − 1.3 t . Here, c is the fraction of Chrysler car owners who remained loyal to Chrysler, f is the fraction of Ford car owners remaining loyal to Ford, g is the corresponding figure for General Motors, h is the corresponding figure for Honda, and t for Toyota.
The value and interpretation of ∂ M ∂ c and ∂ M ∂ f when the fraction of Mazda car owners who chose another new Mazda can be modeled by the function M ( c , f , g , h , t ) = 1.1 − 3.8 c + 2.2 f + 1.9 g − 1.7 h − 1.3 t . Here, c is the fraction of Chrysler car owners who remained loyal to Chrysler, f is the fraction of Ford car owners remaining loyal to Ford, g is the corresponding figure for General Motors, h is the corresponding figure for Honda, and t for Toyota.
Solution Summary: The author explains how the value and interpretation of partial c and
To calculate: The value and interpretation of ∂M∂c and ∂M∂f when the fraction of Mazda car owners who chose another new Mazda can be modeled by the function M(c,f,g,h,t)=1.1−3.8c+2.2f+1.9g−1.7h−1.3t. Here, c is the fraction of Chrysler car owners who remained loyal to Chrysler, f is the fraction of Ford car owners remaining loyal to Ford, g is the corresponding figure for General Motors, h is the corresponding figure for Honda, and t for Toyota.
(b)
To determine
To calculate: The percentage of Mazda owners who remained loyal to Mazda when one year it was observed that c=0.56,f=0.56,g=0.72,h=0.50 and t=0.43 if the fraction of Mazda car owners who chose another new Mazda can be modeled by the function M(c,f,g,h,t)=1.1−3.8c+2.2f+1.9g−1.7h−1.3t where c is the fraction of Chrysler car owners who remained loyal to Chrysler, f is the fraction of Ford car owners remaining loyal to Ford, g is the corresponding figure for General Motors, h the corresponding figure for Honda, and t for Toyota.
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