Optimizing Long-term Incentive Plans

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.

attains its optimized value when

solves the linear equation:

We can distinguish the following steps in finding the maximum of Equation 4^⁷:

Give the start value.
. If, then stop.
Choose the step size
Set, and k=k+1. Go to step 1

[***Classified***]
The Lagrange multiplier method is used to find extreme values of a function whose domain is restricted and lies within a particular subset of the domain. The Lagrange multiplier method [9]:

Such that

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