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The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y 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 $23, and the material costs $3 per pound, what is the cost of manufacturing one of these items? $ (b) Find the partial derivative of C with respect to x. Cx = Interpret the partial derivative of C with respect to x. ○ The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in y if x is held constant. ○ The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in y if x is held constant. The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in x if y is held constant. O The cost (in dollars) of manufacturing one item will increase by $10 for a $1 increase in x if y is held constant.

The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y 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 $23, and the material costs $3 per pound, what is the cost of manufacturing one of these items? $ (b) Find the partial derivative of C with respect to x. Cx = Interpret the partial derivative of C with respect to x. ○ The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in y if x is held constant. ○ The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in y if x is held constant. The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in x if y is held constant. O The cost (in dollars) of manufacturing one item will increase by $10 for a $1 increase in x if y is held constant.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y 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 $23, and the material costs $3 per pound, what is the cost of manufacturing one of these items? $ (b) Find the partial derivative of C with respect to x. Cx = Interpret the partial derivative of C with respect to x. O The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in x if y is held constant. O The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in y if x is held constant. O The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in y if x is held constant. ○ The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $10 for a $1 increase in x if y is held constant.
Transcribed Image Text:The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y 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 $23, and the material costs $3 per pound, what is the cost of manufacturing one of these items? $ (b) Find the partial derivative of C with respect to x. Cx = Interpret the partial derivative of C with respect to x. O The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in x if y is held constant. O The cost (in dollars) of manufacturing one item will increase by $9 for a $1 increase in y if x is held constant. O The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in y if x is held constant. ○ The cost (in dollars) of manufacturing one item will increase by $7 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $10 for a $1 increase in x if y is held constant.
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