a. Jordan's budget constraint is $120 T + $40 B ≤ $600. See attached graph.
Where T = number of train trips
B = number of bus trips
Jordan cannot exceed 9 trips in total because of the budget constraints of $600 travel budget and 3 train trips that she must take.
b. Based on Jordan's travel budget of $600 and the cost of train trips of $120 per trip, Jordan can take 3 train trips and 6 bus trips totaling 9 trips.
c. Jordan's budget constraint is $120 T + $40 B ≤ $360. See attached graph.
Where T = number of train trips
B = number of bus trips
d. The number of train trips that Jordan can take not to reduce the total number of trips she takes each year is 0 train trip.
In the previous analysis, Jordan could take a total of 9 trips per year. The new budget cannot allow her to take 9 trips if she takes any train trip.
Thus, Jordan's trips will be all bus trips with the new budget constraint.
Data and Calculations:
Total travel budget for Jordan = $600
Cost of train per trip = $120
Cost of bus per trip = $40
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