Question

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Answer 1

(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 =
`(-b)/(2a) = (-(1328))/(2(-8)) = (-1328)/(-16)` = 83

(c)

R(83) = -8(83)² + 1328(83)

= -8(6889) + 110,224

= -55,112 + 110,224

= 55,112