Question 221208
Let {{{t}}} = price/ticket in dollars to charge
Let {{{P}}} = profit for school
Write 2 equations, 1 for each band
(1){{{P = 300t - 250 - 300t/2}}}
(1){{{2P = 600t - 500 - 300t}}}
(1){{{2P = 300t - 500}}}
(1){{{P = 150t - 250}}} 
and
(2){{{P = 300t - 550}}}
If the profits from the 2 bands were equal,
{{{150t - 250 = 300t - 550}}}
{{{150t = 300}}}
{{{t = 2}}}
If the ticket price were $1.99
(1){{{P = 150*1.99 - 250}}} 
(1){{{P = 298.50 - 250}}}
(1){{{P = 48.50}}}
and
(2){{{P = 300*1.99 - 550}}}
(2){{{P = 597 - 550}}}
(2){{{P = 47}}}
1st band is more profitable
If the ticket price were $2.01
(1){{{P = 150*2.01 - 250}}}
(1){{{P = 301.50 - 250}}}
(1){{{P = 51.50}}}
and
(2){{{P = 300*2.01 - 550}}}
(2){{{P = 603 - 550}}}
(2){{{P = 53}}}
Band (2) becomes more profitable for the
school, when the ticket price goes over
$2.00, so the ticket price has to be 
under $2.00 to make more profit from 1st band