Question

Optimization Calculus:

Answer 1

Answer:

170

Step-by-step explanation:

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.