Use Lagrange Multipliers to Find the Maximum Value of F $f \left( \frac { 3 } { 4 } , \frac { 9 } { 4 } \right) = \frac { 243 } { 16 }$

question 6

Multiple Choice

Use Lagrange multipliers to find the maximum value of f (x,y) = 9xy subject to the constraint 9x + 3y = 27.

• A)f (0,0)= 0
• B)f (3,9)= 243
• C) \(f \left( \frac { 3 } { 4 } , \frac { 9 } { 4 } \right) = \frac { 243 } { 16 }\)
• D) \(f \left( \frac { 3 } { 2 } , \frac { 9 } { 2 } \right) = \frac { 243 } { 4 }\)

Grasp language acquisition, bilingualism, and linguistic theories.

Understand the role of heritability in psychological traits.

Recognize the significance of creativity and strategies to enhance it.

Comprehend the impact of stereotypes on performance and intelligence perceptions.

---

Definitions:

Book Value

The net value of a company's assets minus its liabilities, often used to assess the company's financial health and value.

Excess Amount

The surplus or amount by which a sum exceeds what is necessary or required.

Outstanding Common Shares

The shares of a corporation that are issued and owned by shareholders, representing ownership in the company.

Net Assets

The difference between a company's total assets and its total liabilities, representing the equity value that shareholders would theoretically receive if all assets were liquidated and all debts paid.