C(x) = 81,000 + 100x + 6x3/2 a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) ) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) ner 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(x)/x. Consider the cost function C(x) given below.
C(x) = 81,000 + 100x + 6x3/2
(a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.)
2$
(b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.)
per unit
(c) Find the marginal cost at a production level of 1000 units. (Round your answer to the nearest cent.)
per unit
(d) Find the production level that will minimize the average cost. (Round your answer to the nearest whole number.)
units
(e) What is the minimum average cost? (Round your answer to the nearest dollar.)
$
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(x)/x. Consider the cost function C(x) given below. C(x) = 81,000 + 100x + 6x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) 2$ (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) per unit (c) Find the marginal cost at a production level of 1000 units. (Round your answer to the nearest cent.) per unit (d) Find the production level that will minimize the average cost. (Round your answer to the nearest whole number.) units (e) What is the minimum average cost? (Round your answer to the nearest dollar.) $ per unit
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