The monthly marketing and automated equipment cost (in millions of dollars) for a car company is given by C(x, y) = 3x2 + 2xy + 2y2 -18x - 16y + 356, where x is the amount spent per month for marketing and y is the amount spent per month on automated equipment (both in millions of dollars). Determine how much should be spent on each per month to minimize the total cost.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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The monthly marketing and automated equipment cost (in millions of dollars) for a car company is given by
C(x, y) = 3x2 + 2xy + 2y-18x - 16y + 356,
where x is the amount spent per month for marketing and y is the amount spent per month on automated equipment (both in millions of dollars).

Determine how much should be spent on each per month to minimize the total cost.

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