The cost, in dollars, of producing æ units of a certain item is given by C (z) = 5x – 4/7 – 1. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Number

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.7P
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Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is the cost function function C(x), the cost of producing x items (of whatever they are selling). This question deals with just the cost function C(x).

 

Problem Set question:

 

The cost, in dollars, of producing x units of a certain item is given by

C(x)=5x−4x−1−−−−√.

 

Find the production level that minimizes the average cost per unit.

 

 

The number of units that minimizes the average cost is .

Introduction to Calculus in Economics:
Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is
the cost function function C (x), the cost of producing æ items (of whatever they are selling). This question deals with just the cost function C (x).
Problem Set question:
The cost, in dollars, of producing æ units of a certain item is given by
C (x) = 5x – 4/ – 1.
Find the production level that minimizes the average cost per unit.
The number of units that minimizes the average cost is Number
Transcribed Image Text:Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is the cost function function C (x), the cost of producing æ items (of whatever they are selling). This question deals with just the cost function C (x). Problem Set question: The cost, in dollars, of producing æ units of a certain item is given by C (x) = 5x – 4/ – 1. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Number
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