The cost (in dollars) of manufacturing one item is given by C(x, y) = 20 + 5x + 6y 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 $22, and the material costs $9 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 $20 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $5 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $5 for a $1 increase in y if x is held constant. The cost (in dollars) of manufacturing one item will increase by $6 for a $1 increase in y if x is held constant. O The cost (in dollars) of manufacturing one item will increase by $6 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) = 20 + 5x + 6y 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 $22, and the material costs $9 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 $20 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $5 for a $1 increase in x if y is held constant. The cost (in dollars) of manufacturing one item will increase by $5 for a $1 increase in y if x is held constant. The cost (in dollars) of manufacturing one item will increase by $6 for a $1 increase in y if x is held constant. O The cost (in dollars) of manufacturing one item will increase by $6 for a $1 increase in x if y is held constant.

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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