MY NOTES The total cost of producing 1 unit of a product is ху C(x, y) = 32 + 8x + 2y + 54 dollars where x is the cost per pound of raw materials and y is the cost per hour of labor. (a) If labor costs are held constant, find the function that describes the rate at which total cost increases for each increase of $1 per pound in material cost. (b) If material costs are held constant, find the function that describes the rate at which total cost increases for each $1 per hour increase in labor costs.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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MY NOTES
The total cost of producing 1 unit of a product is
ху
C(x, y) = 32 + 8x + 2y +
54
dollars
where x is the cost per pound of raw materials and y is the cost per hour of labor.
(a) If labor costs are held constant, find the function that describes the rate at which total cost increases for each increase of $1 per pound in material cost.
(b) If material costs are held constant, find the function that describes the rate at which total cost increases for each $1 per hour increase in labor costs.
Transcribed Image Text:MY NOTES The total cost of producing 1 unit of a product is ху C(x, y) = 32 + 8x + 2y + 54 dollars where x is the cost per pound of raw materials and y is the cost per hour of labor. (a) If labor costs are held constant, find the function that describes the rate at which total cost increases for each increase of $1 per pound in material cost. (b) If material costs are held constant, find the function that describes the rate at which total cost increases for each $1 per hour increase in labor costs.
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