74. MEETING PROFIT GOALS A manufacturer of a certain com- modity has estimated that her profit (in thousands of dol- lars) is given by the expression -6x² + 30x - 10 where x (in thousands) is the number of units produced. What production range will enable the manufacturer to realize a profit of at least $14,000 on the commodity?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Meeting Profit Goals

A manufacturer of a certain commodity has estimated that her profit (in thousands of dollars) is given by the expression:

\[ -6x^2 + 30x - 10 \]

where \( x \) (in thousands) is the number of units produced. 

What production range will enable the manufacturer to realize a profit of at least $14,000 on the commodity?
Transcribed Image Text:### Meeting Profit Goals A manufacturer of a certain commodity has estimated that her profit (in thousands of dollars) is given by the expression: \[ -6x^2 + 30x - 10 \] where \( x \) (in thousands) is the number of units produced. What production range will enable the manufacturer to realize a profit of at least $14,000 on the commodity?
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