Solve the following questions:1. The cost of producing x units of stuffed alligator toys is C(x)=0.003x2+6x+7000. Find the marginal cost at the production level of 1000 units.2. The graph of f(x)= 2x3+9x2-168x has two horizontal tangents. One occurs at a negative value of x and the other at a positive value x. What is the negative value of x where horizontal tangent occurs? What is the positive value of x where a horizontal tangent occurs?

Answered: 1. The cost of producing x units of…

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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Solve the following questions:

1. The cost of producing x units of stuffed alligator toys is C(x)=0.003x²+6x+7000. Find the marginal cost at the production level of 1000 units.

2. The graph of f(x)= 2x³+9x²-168x has two horizontal tangents. One occurs at a negative value of x and the other at a positive value x. What is the negative value of x where horizontal tangent occurs? What is the positive value of x where a horizontal tangent occurs?

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