Find the Point at Which the Function $f ( x , y , z ) = 2 x + y - 2 z$

question 136

Multiple Choice

Find the point at which the function $f ( x , y , z ) = 2 x + y - 2 z$ has the maximum value subject to the constraint that $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ .

• A) \(\left( \frac { 4 } { 3 } , \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)\)
• B)
• \(\left( \frac { 4 } { 3 } , \frac { 2 } { 3 } , - \frac { 4 } { 3 } \right)\)
• C) \(\left( \frac { 4 } { 3 } , - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)\)
• D) \(\left( \frac { 4 } { 3 } , - \frac { 2 } { 3 } , - \frac { 4 } { 3 } \right)\)
• E) \(\left( - \frac { 4 } { 3 } , - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)\)
• F) \(\left( - \frac { 4 } { 3 } , - \frac { 2 } { 3 } , - \frac { 4 } { 3 } \right)\)
• G) \(\left( - \frac { 4 } { 3 } , \frac { 2 } { 3 } , - \frac { 4 } { 3 } \right)\)
• H)None of these

Recognize the importance of consistency and accuracy in financial record-keeping.

Understand the role and ordering of various types of accounts in the general ledger.

Grasp the purpose and process of posting transactions from the journal to the ledger.

Learn the guidelines for choosing account names for the chart of accounts.

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Definitions:

NPV

Net Present Value - a calculation used to assess the profitability of a project or investment by summing the present values of all cash flows associated with it.

IRR

Internal rate of return. A capital budgeting technique that rates projects according to their expected return on invested funds. The higher the return the better.

MIRR

Modified Internal Rate of Return (MIRR) is a financial metric that evaluates the profitability of investments, adjusting the internal rate of return (IRR) to account for the reinvestment of cash flows at a different rate.

Present Value

The current value of a future amount of money or stream of cash flows, discounted at a certain interest rate.