The cost per batch of a certain production process is related to the settings x and y of two control instruments. Suppose the total cost per batch is given by f(x, y) = 4x2 + 2y2 + 4xy − 8x − 6y + 35. Determine the settings for the two instruments that will minimise this cost.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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The cost per batch of a certain production process is related to the
settings x and y of two control instruments. Suppose the total cost per
batch is given by
f(x, y) = 4x2 + 2y2 + 4xy − 8x − 6y + 35.
Determine the settings for the two instruments that will minimise this cost.

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