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The cost of producing x units of a certain commodity is C(x) = 1x² + 5x+8 dollars. If the price is p(x) = (47 − x) dollars per unit, determine the level of production that maximizes profit. O x = 2, so therefore 2 units

The cost of producing x units of a certain commodity is C(x) = 1x² + 5x+8 dollars. If the price is p(x) = (47 − x) dollars per unit, determine the level of production that maximizes profit. O x = 2, so therefore 2 units

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The cost of producing x units of a certain commodity is C(x) = 1x² + 5x+8 dollars. If the price is p(x) = (47 - x) dollars per unit, determine the level of production that maximizes profit. O x = 2, so therefore 2 units O x = 10.5 so therefore 11 units O x = 6.3 so therefore 6 units O x = 4 so therefore 4 units
Transcribed Image Text:The cost of producing x units of a certain commodity is C(x) = 1x² + 5x+8 dollars. If the price is p(x) = (47 - x) dollars per unit, determine the level of production that maximizes profit. O x = 2, so therefore 2 units O x = 10.5 so therefore 11 units O x = 6.3 so therefore 6 units O x = 4 so therefore 4 units
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