A manufactureer determines that the number of drills it can sell is given by the formula D= -3p^2 + 174p - 310 where p is the price of the drills in dollars

Hi Robert;

D= -3p

^{2}+ 174p - 310Let's take the derivative and set it equal to zero.

0=-6p+174

-174=-6p

29=p

The answer is $29.

This is the vertex of the downward parabola. We know it is downward because 3p

^{2}is negative. The vertex is the point at which rate of change is zero.
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