Let F(x, Y) = $x ^ { 2 }$ + 2xy

question 117

Multiple Choice

Let f(x, y) = $x ^ { 2 }$ + 2xy + $5 y ^ { 2 }$ + 2x + 10y - 3. At which point(s) does f(x, y) have possible maximum/minimum values?

• A) (-1, 17) and (0, 5)
• B) (-1, 0) and (0, 1)
• C) (0, -1)
• D) (1, 0)
• E) none of these

---

Definitions:

Government Expenditures

The total amount spent by the government on goods, services, and public projects.

State and Local Governments

Governmental authorities below the national level, responsible for local administration and governance within their respective areas.

Direct Income Transfers

Financial payments given by the government to individuals without any requirement for goods or services in return, often aimed at reducing income inequality.

Government Spending

The total amount of public sector expenditure, including salaries of public servants, social security benefits, and investment in infrastructure.