A company manufactures z 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 = 5x² + 4xy + 7y² + 1000. (a) If the production quota for the total number of items (both types combined) is 104, find the minimum production cost. 8. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 105 or lowered to 103. production cost or savings =

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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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 = 5x² + 4xy + 7y² + 1000.
(a) If the production quota for the total number of items (both types combined) is 104, find the minimum production cost.
cost =
(b) Estimate the additional production cost or savings if the production quota is raised to 105 or lowered to 103.
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 = 5x² + 4xy + 7y² + 1000. (a) If the production quota for the total number of items (both types combined) is 104, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 105 or lowered to 103. production cost or savings =
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