The cost function for a specified production process in terms of quantities u and v of the two process inputs is given by C(u, v) = 5u3 - 2u2v +3v2 + 800 dollars. (a) Write down the Gradient Vector of C(u,v) when u = 10 and v = 15 and estimate the change in the cost of the process if u increases from 10 to 10.4 and v decreases from 15 to 14.7.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 function for a specified production process in terms of quantities u and v of the two process inputs is given by C(u, v) = 5u3 - 2u2v +3v2 + 800 dollars.

(a) Write down the Gradient Vector of C(u,v) when u = 10 and v = 15 and estimate the change in the cost of the process if u increases from 10 to 10.4 and v decreases from 15 to 14.7.  

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