If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x). Consider the cost function C(x) given below. (Round your answers to the nearest cent.) X C(x) = 81,000+ 100x + 6x³/2 (a) Find the total cost (in dollars) at a production level of 1,000 units. $ (b) Find the average cost (in dollars per unit) at a production level of 1,000 units. per unit (c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units. $ per unit (d) Find the production level (in units) that will minimize the average cost. units (e) What is the minimum average cost (in dollars per unit)? $ per unit
If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x). Consider the cost function C(x) given below. (Round your answers to the nearest cent.) X C(x) = 81,000+ 100x + 6x³/2 (a) Find the total cost (in dollars) at a production level of 1,000 units. $ (b) Find the average cost (in dollars per unit) at a production level of 1,000 units. per unit (c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units. $ per unit (d) Find the production level (in units) that will minimize the average cost. units (e) What is the minimum average cost (in dollars per unit)? $ per unit
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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![If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x)
C(x) = 81,000 + 100x + 6x³/2
(a) Find the total cost (in dollars) at a production level of 1,000 units.
$
(b) Find the average cost (in dollars per unit) at a production level of 1,000 units.
$
per unit
(c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units.
$
per unit
(d) Find the production level (in units) that will minimize the average cost.
units
(e) What is the minimum average cost (in dollars per unit)?
$
per unit
C(x)
X
Consider the cost function C(x) given below. (Round your answers to the nearest cent.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9763047e-9567-4a9b-b6af-b6a297414ad2%2F25ada00e-8761-4dd0-b0fc-071ee54d6d85%2Fgemwn5_processed.png&w=3840&q=75)
Transcribed Image Text:If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x)
C(x) = 81,000 + 100x + 6x³/2
(a) Find the total cost (in dollars) at a production level of 1,000 units.
$
(b) Find the average cost (in dollars per unit) at a production level of 1,000 units.
$
per unit
(c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units.
$
per unit
(d) Find the production level (in units) that will minimize the average cost.
units
(e) What is the minimum average cost (in dollars per unit)?
$
per unit
C(x)
X
Consider the cost function C(x) given below. (Round your answers to the nearest cent.)
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