Please show each ALL step, step-by-step, including arguments please. I have a hard time following calculations and visualizing steps really helps me follow along and understand. Thank you for your help! A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C = 0.3x² + 7,000. How fast is the cost per month changing when production ischanging at the rate of 18 units per month and the production level is 60 units?Costs are increasing at the rate of $ per month at this production level.(Round to the nearest dollar as needed.)

Answered: Image /qna-images/answer/49a0395c-0524-471f-9dc7-9de3d6a9848c.jpg

A manufacturer of handcrafted wine racks has determined that the cost produce x units per month is given by C=0.3x² +7,000. How fast is the cost per month changing when production is changing at the rate of 18 units per month and the production level is 60 units? Costs are increasing at the rate of $ per month at this production level. (Round to the nearest dollar as needed.)

A manufacturer of handcrafted wine racks has determined that the cost produce x units per month is given by C=0.3x² +7,000. How fast is the cost per month changing when production is changing at the rate of 18 units per month and the production level is 60 units? Costs are increasing at the rate of $ per month at this production level. (Round to the nearest dollar as 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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Question

Please show each ALL step, step-by-step, including arguments please. I have a hard time following calculations and visualizing steps really helps me follow along and understand. Thank you for your help!

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C = 0.3x² + 7,000. How fast is the cost per month changing when production is
changing at the rate of 18 units per month and the production level is 60 units?
Costs are increasing at the rate of $ per month at this production level.
(Round to the nearest dollar as needed.)

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