The bus company charges $120 for each passenger up to 100. They charge $0.50 less per person over 100. This means for 101 passengers they charge $119.50, for 102 passengers they charge $119 etc. The total revenue for the bus company will be the price of each ticket times the number of passengers. This is shown below in the table.
Passengers Revenue
100 100*120 = 12000
101 101*119.50 = 12069.5
102 102*119 = 12138
103 103*118.50 = 12205.5
104 104*118 = 12272
105 105*117.50 = 12337.5
....
150 150*95 = 14250
....
170 170*85 = 14450
....
175 175* 82.5= 14437.5
The max revenue the company receives is 170 passengers.
