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+900. (a) If the production quota for the total number of items (both types combined) is 36, find the minimum production cost. cost = 9476 (b) Estimate the additional production cost or savings if the production quota is raised to 37 or lowered to 35. production cost or savings = 9476

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...
Question
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+900.
(a) If the production quota for the total number of items (both types combined) is 36, find the minimum production
cost.
cost = 9476
(b) Estimate the additional production cost or savings if the production quota is raised to 37 or lowered to 35.
production cost or savings = 9476
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+900. (a) If the production quota for the total number of items (both types combined) is 36, find the minimum production cost. cost = 9476 (b) Estimate the additional production cost or savings if the production quota is raised to 37 or lowered to 35. production cost or savings = 9476
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