MarcKrishke1600Project13-14

# MarcKrishke1600Project13-14 - Chapter 14 Functions of...

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Chapter 14: Functions of Several Variables To model sales of its tires, the manufacturer of GRIPPER tires used the quadratic equation S = a o + a 1 x + a 2 x + b 1 y , where S is regional sales in millions of dollars, x is TV advertising expenditures in millions of dollars, and y is other promotional expenditures in millions of dollars. Although this model represents the relationship between advertising and sales dollars for small changes in advertising expenditures, it is clear to the vice president of advertising that it does not apply to large expenditures for TV advertising on a national level. He knows from experience that increased expenditures for TV advertising result in more sales, but at a decreasing rate of return for the product. The vice president is aware that some advertising agencies model the relationship between advertising and sales by the function S = b 0 + b 1 (1 – e - ax ) + c 1 y where a > 0, S is sales in millions of dollars, x is TV advertising expenditures in millions of dollars, and y is other promotional expenditures in millions of dollars. The equation

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