Find and interpret the partial derivative of given problem

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Reference no: EM131801497

Question: 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.

(a) 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 work-hour, what will it cost to produce 1 unit of the product?

(b) Find and interpret the partial derivative of C with respect to x.

Reference no: EM131801497

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