The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C ( x , y , z ) = 10 + 8 x + 3 y + z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

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Answer 1

Question

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

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Answer 2

Question

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

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Answer 3

Question

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

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Answer 4

Question

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

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Answer 5

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

Answer 6

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

Answer 7

Chapter 14.3, Problem 2E

(a)

To determine

To calculate: The cost to produce 1 unit of the product if the cost of the first raw material is $16 per pound, the cost of the second raw material is $8 per pound, and labor costs $18 per hour. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor.

Answer 8

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

Answer 9

(b)

To determine

To calculate: The partial derivative of C with respect to x. The manufacture of 1 unit of a product has a cost (in dollars) given by C(x,y,z)=10+8x+3y+z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. Interpret the answer.

Answer 10

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Answer 11

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Answer 13

Ch. 14.1 - CHECKPOINT 1. Find the domain of the function Ch. 14.1 - CHECKPOINT 2. (a) If . (b) If . Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E

Solution Summary: The author calculates the cost to produce 1 unit of a product if the first raw material costs 16 per pound, the second is 8, and the third is 18 per hour.

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