The cost (in dollars) of manufacturing one item is given by C(x, y) = 70 + 4x + 9y where x is the cost of 1 hour of labor and y is the cost of 1 pound of material. (a) If the hourly cost of labor is $25, and the material costs $6 per pound, what is the cost of manufacturing one of these items? 2$ (b) Find the partial derivative of C with respect to x. Cx =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
Question
The cost (in dollars) of manufacturing one item is given by
C(x, y) = 70 + 4x + 9y
where x is the cost of 1 hour of labor and y is the cost of 1 pound of material.
(a) If the hourly cost of labor is $25, and the material costs $6 per pound, what is the cost of manufacturing one of these items?
2$
(b) Find the partial derivative of C with respect to x.
Cx =
Transcribed Image Text:The cost (in dollars) of manufacturing one item is given by C(x, y) = 70 + 4x + 9y where x is the cost of 1 hour of labor and y is the cost of 1 pound of material. (a) If the hourly cost of labor is $25, and the material costs $6 per pound, what is the cost of manufacturing one of these items? 2$ (b) Find the partial derivative of C with respect to x. Cx =
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