IS KIND OF CONFUSING

Question

THE REVENUE OF A CHARTED BUS DEPENDS ON THE NUMBER OF UNSOLD SEATS. If the revenue in dollars.R(X) is given by

R(X)=-X^2 +50X+5000

Answer 1

the max occurs at x= -b/(2a) = -50/(-2) = 25

the max is 25^2 + 50*25 + 5000 = 625 + 1250 + 5000

= 1875 + 5000

= 6875

solutions are:

x = [-50 +or- sqrt ( 2500 - 4*-1*5000)] / -2

= [ -50 +or- sqrt( 2500 + 20000)]/ -2

= [ -50 +or- sqrt(22500)]/-2

= 25 +or- 150/-2

= 25 +or- -75

= 25 + -75 or 25 - -75

= -50 or 100

You can finish it from there