A manufacturer determines that the number of drills it can sell is given by the formula D=-3p^2+180p-285, where p is the price of the drills in dollars.
a. At what price will the manufacturer sell the maximum number of drills? (This is the x value of the vertex.)
b. What is the maximum number of drills that can be sold? (This is the y value of your vertex.)
A. $60; 285 drills
B. $90; 8,385 drills
C. $31; 2,418 drills
D. $30; 2,415 drills