To determine which city Richard can drop to avoid overdrawing his account, we first need to calculate the total cost of visiting all cities, and then see how much he would need to drop from that total to stay within his budget of $652.
We can sum the costs of visiting each city:
- Detroit: $196.87
- Pittsburgh: $180.32
- St. Paul: $102.87
- Cincinnati: $155.81
- Richmond: $211.86
Total Cost = $196.87 + $180.32 + $102.87 + $155.81 + $211.86
Now let's do the calculation:
\[ 196.87 + 180.32 + 102.87 + 155.81 + 211.86 = 847.73 \]
The total cost of visiting all five cities is $847.73.
Next, we find out how much overbudget Richard is:
\[ 847.73 - 652 = 195.73 \]
Richard is $195.73 over budget, so he needs to drop one of the cities to save at least that much.
Now we'll check the costs of each city:
- Richmond: $211.86
- Detroit: $196.87
- Pittsburgh: $180.32
- Cincinnati: $155.81
If he drops each city's cost:
- Dropping Richmond saves $211.86 (so he's under budget)
- Dropping Detroit saves $196.87 (so he's under budget)
- Dropping Pittsburgh saves $180.32 (still over budget)
- Dropping Cincinnati saves $155.81 (still over budget)
The cheapest city he can drop that will bring him under budget is Cincinnati with a cost of $155.81.
Therefore, the answer is: C. Pittsburgh, as dropping this city saves sufficient funds to bring Richard under budget, making it the optimal choice.
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