If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C), Consider the cost function C(x) given below. (Round your answers to the nearest cent.) C(x) = 24,000 + 120x + 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. 2$ 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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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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), Consider the cost function C(x) given below. (Round your answers to the nearest cent.)
C(x) = 24,000 + 120x + 6x3/2
(a) Find the total cost (in dollars) at a production level of 1,000 units.
24
(b) Find the average cost (in dollars per unit) at a production level of 1,000 units.
$4
per unit
(c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units.
$4
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
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), Consider the cost function C(x) given below. (Round your answers to the nearest cent.) C(x) = 24,000 + 120x + 6x3/2 (a) Find the total cost (in dollars) at a production level of 1,000 units. 24 (b) Find the average cost (in dollars per unit) at a production level of 1,000 units. $4 per unit (c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units. $4 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
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