# Math Help - Meeting Profit Goals

1. ## 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? 2. Originally Posted by clari 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?
Solve $-6x^2 + 30x - 10 > 14 \Rightarrow -6x^2 + 30x - 24 > 0 \Rightarrow x^2 - 5x + 4 < 0$.