Question

a manufacturer determines that the numbe of drills it can sell is given by formula
d=-4p^2+160p-260, where p is price of drills
A. at what price will manufacturer sell the maximum of drills?
B.what is max number of drills can be sold.

show work please :)

Answer 1

d' = -4* 2 * p + 160 = first differetiate
now we take the 1st one and say that d' equals zero
0 = -8p +160
-160 = -8p
p = 20
into d(p)
d = -4 * 20^2 +160 * 20 - 260
d = -1600 + 320 - 260
d = -1540
At the price of 1540 i would say if im not wrong