A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 2y² + 800. (a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.

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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A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function
C = 3x² + 2xy + 2y² + 800.
(a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost.
cost =
(b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.
production cost or savings =
Transcribed Image Text:A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 2y² + 800. (a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41. production cost or savings =
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