SOLUTION: Jesse Manufacturing estimates that its profit P in hundreds of dollars is P=-2x^2+20x-2 where x is the number of units produced in thousands. How many units must be produced to obt

Question 277941: Jesse Manufacturing estimates that its profit P in hundreds of dollars is P=-2x^2+20x-2 where x is the number of units produced in thousands. How many units must be produced to obtain maximum profit?
a.500 units
b.5000 units
c.50 units
d.5 units

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The graph of is a parabola (because of the x squared) which opens downward (because of the minus in front of the x squared). It looks like this:

The maximum of P will be at the vertex of the parabola. So we want to find the x coordinate of the vertex.

For a parabola in the form , the x coordinate of the vertex is (-b)/2a. Since your b is 20 and your a is -2, the x coordinate of the vertex will be:

So the answer is (d) 5 units.
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