Solve the Problem $f ( x , y ) = 2 x ^ { 2 } + 10 x y + 9 y ^ { 2 }$

question 19

Multiple Choice

Solve the problem.
-Maximize $f ( x , y ) = 2 x ^ { 2 } + 10 x y + 9 y ^ { 2 }$ subject to $x + y = 1$ and $x + 4 y = 9$ .

• A) \(\frac { 226 } { 9 }\)
• B) \(- \frac { 58 } { 3 }\)
• C) \(\frac { 26 } { 9 }\)
• D) \(\frac { 142 } { 3 }\)

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Definitions:

Current Ratio

A measure of a business's capability to meet its obligations due in less than one year, focusing on its short-term financial health.

Company

A legal entity formed by individuals, stockholders, or shareholders, with the purpose of operating for profit.

Working Capital

The difference between a company's current assets and current liabilities, indicating the liquidity available to fund day-to-day operations.

Company

An organized entity formed for the purpose of conducting business, wherein it can earn revenues, incur expenses, and operate with the aim of profit.