The OA provided is totally useless

This is a data interpretation problem based on the provided bar chart and enrollment table.

The goal is to find the required reduction in average tuition per student at College D, given an extra $\(\$ 50,000,000\)$ grant, assuming expenses remain constant.

1. Determine College D's Current Annual Revenue and Enrollment

From the provided chart and table (for the year 2006):
- Enrollment (N) for College D: 36,000 students.
- Current Net Tuition Revenue per Student (from the bar chart): The Net Tuition portion is the lowest, solid bar segment for College D. It is about \(\$9,000\) (or \$9 thousand dollars).

2. Calculate College D's Total Current Net Tuition Revenue

Total Net Tuition Revenue $=$ Enrollment $\(\times\)$ Net Tuition per Student

Total Net Tuition Revenue $\(=36,000 \times \$ 9,000=\$ 324,000,000\)$

3. Calculate College D's Total Expenses (Assuming Revenue = Expenses)

The problem states that expenses remain "about the same" in 2007 as they were in 2006. Since the revenue per student bar goes up to \$38,000 (\$38 thousand dollars), the total revenue per student is $\(\$ 38,000\)$.

Total Annual Revenue per Student $\(=\$ 38,000\)$

Total Annual Revenue (Expenses) $\(=36,000 \times \$ 38,000=\$ 1,368,000,000\)$

4. Determine the New Required Total Net Tuition Revenue

If College D receives a new grant of $\(\$ 50,000,000\)$, this grant will offset the total expenses, allowing the college to reduce the amount they need to collect through tuition.

New Required Revenue from Tuition $=$ Total Expenses - New Grant Amount

New Required Revenue from Tuition $\(=\$ 1,368,000,000-\$ 50,000,000=\$ 1,318,00\)$

5. Calculate the New Required Net Tuition per Student

$$
\(\begin{gathered}
\text { New Tuition per Student }=\frac{\text { New Required Revenue from Tuition }}{\text { Enrollment }} \\
\quad \text { New Tuition per Student }=\frac{\$ 1,318,000,000}{36,000} \approx \$ 36,611.11
\end{gathered}\)
$$


This value represents the total revenue required from all sources other than the new grant. This is not the required tuition reduction.

6. Calculate the Reduction in Average Tuition per Student

The grant of $\(\$ 50,000,000\)$ is intended to reduce the tuition burden. To find the maximum possible tuition reduction, we divide the new grant amount by the number of students:

$$
\(\begin{gathered}
\text { Tuition Reduction per Student }=\frac{\text { New Grant Amount }}{\text { Enrollment }} \\
\text { Tuition Reduction per Student }=\frac{\$ 50,000,000}{36,000} \\
\text { Tuition Reduction per Student } \approx \$ 1,388.89
\end{gathered}\)
$$


The correct option is A. \(\$1388.89\).