Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants to serve as many residents as possible, but greater coverage brings greater costs. The cost (in dollars) to deploy a nodes in the network i given by C'(x) = 44000 + 160x+0.012x³ Find the marginal cost function: C'(x) It's suggested that 370 nodes might be enough, but management needs to know what it would cost to deploy one more node in a key area. About how much would it be? $ (round to 4 decimal places if rounding is needed)

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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Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants to serve as many
residents as possible, but greater coverage brings greater costs. The cost (in dollars) to deploy a nodes in the network is
given by C'(x) = 44000 + 160x + 0.012x³
Find the marginal cost function: C'(x)
It's suggested that 370 nodes might be enough, but management needs to know what it would cost to deploy one more
node in a key area. About how much would it be? $ (round to 4 decimal places if rounding is needed)
Transcribed Image Text:Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants to serve as many residents as possible, but greater coverage brings greater costs. The cost (in dollars) to deploy a nodes in the network is given by C'(x) = 44000 + 160x + 0.012x³ Find the marginal cost function: C'(x) It's suggested that 370 nodes might be enough, but management needs to know what it would cost to deploy one more node in a key area. About how much would it be? $ (round to 4 decimal places if rounding is needed)
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