(a)
R(p) = -8p² + 1328p
R(50) = -8(50)² + 1328(50)
= -8(2500) + 66,400
= -20,000 + 66,400
= 46,400
R(70) = -8(70)² + 1328(70)
= -8(4900) + 92,960
= -39,200 + 92,960
= 53,760
R(90) = -8(90)² + 1328(90)
= -8(8100) + 119,520
= -64,800 + 119,520
= 54,720
(b) R(p) = -8p² + 1328p NOTE: maximum is the vertex
a=-8, b=1328
p = [tex]\frac{-b}{2a} = \frac{-(1328)}{2(-8)} = \frac{-1328}{-16}[/tex] = 83
(c)
R(83) = -8(83)² + 1328(83)
= -8(6889) + 110,224
= -55,112 + 110,224
= 55,112
