1. **Problem Statement:** We need to analyze the financial gap between the annual scholarship cost, household income, and living expenses. 2. **Given Data:** - Scholarship cost per year: $30,900$ - Household income per month: $1,463.35$ - Household income per year: $1,463.35 \times 12 = 17,560.20$ - Monthly living expenses: $1,050$ - Annual living expenses: $1,050 \times 12 = 12,600$ 3. **Calculate the financial gap:** The financial gap is the difference between the scholarship cost and the household income. $$\text{Gap} = \text{Scholarship Cost} - \text{Household Income} = 30,900 - 17,560.20 = 13,339.80$$ 4. **Calculate remaining income after living expenses:** $$\text{Remaining Income} = \text{Household Income} - \text{Annual Living Expenses} = 17,560.20 - 12,600 = 4,960.20$$ 5. **Interpretation:** - The household income is insufficient to cover the scholarship cost by $13,339.80$ annually. - After paying living expenses, only $4,960.20$ remains, which is far less than the scholarship cost. - Savings are reserved for critical needs and cannot be used for educational expenses. **Final conclusion:** There is a significant financial shortfall of $13,339.80$ annually to cover the scholarship cost given the current income and expenses.