If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = CA) Consider the cost function C(x) given below. (Round your answers to the nearest cent.) C(x) = 3,000 + 110x + 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

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) = CA). Consider the cost function C(x) given below. (Round your answers to the nearest cent.)
C(x) = 3,000 + 110x + 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
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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) = CA). Consider the cost function C(x) given below. (Round your answers to the nearest cent.) C(x) = 3,000 + 110x + 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 Need Help? Read It Watch It
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