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 - 310
Let'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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