Asked by Math
A manufacture 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 a least $14,000 on the commodity?
-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 a least $14,000 on the commodity?
Answers
Answered by
Henry
-6X^2 + 30X -10 = 14,
-6X^2 + 30X - 24 = 0,
Divide3 both sides by -6:
X^2 - 5X + 4 = 0,
(X-4)(X-1) = 0.
X-4 = 0,
X = 4.
X-1 = 0,
X = 1.
Production Range: 1000 to 4000 Units.
-6X^2 + 30X - 24 = 0,
Divide3 both sides by -6:
X^2 - 5X + 4 = 0,
(X-4)(X-1) = 0.
X-4 = 0,
X = 4.
X-1 = 0,
X = 1.
Production Range: 1000 to 4000 Units.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.