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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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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