Use Lagrange Multipliers to Find the Maximum Value of the Function

question 39

Multiple Choice

Use Lagrange multipliers to find the maximum value of the function subject to the given constraint. $f ( x , y , z ) = 14 x + 8 y + 12 z , x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 101$

• A) \(f ( 14,8,12 ) = 404\)
• B) \(f ( 20,9,18 ) = 568\)
• C) \(f ( 7,4,6 ) = 202\)
• D) \(f ( 18,17,5 ) = 308\)
• E) \(f ( 8,4,12 ) = 212\)

Grasp when and why a company might call callable bonds.

Calculate the stock value conversion rate for convertible bonds.

Determine the concept of buying bonds at a premium or a discount.

Calculate the premium and discount price of bonds.

---

Definitions:

Bounded Rationality

A concept that decision-makers are limited by the information they have, the cognitive limitations of their minds, and the finite amount of time they have to make a decision.

Temporal Immediacy

The urgency or closeness in time of an event, emphasizing the importance of timely action or response.

Rationality Limitations

Constraints on an individual's ability to think and make decisions in a logical and clear-headed manner.

Bounded Rationality

Refers to the concept that in decision-making, an individual's rationality is limited by the information they have, the cognitive limitations of their minds, and the finite amount of time they have to make a decision.