Posted by Math on Thursday, May 26, 2011 at 4:34pm.
A manufacture of a certain commodity has estimated that her profit in thousands of dollars is given by the expression
6x^2+30x10
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?

Math  Henry, Saturday, May 28, 2011 at 8:21pm
6X^2 + 30X 10 = 14,
6X^2 + 30X  24 = 0,
Divide3 both sides by 6:
X^2  5X + 4 = 0,
(X4)(X1) = 0.
X4 = 0,
X = 4.
X1 = 0,
X = 1.
Production Range: 1000 to 4000 Units.