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Break-even analysis can also provide data that can be useful to the marketing department of a business as well, as it provides financial goals that the business can pass on to marketers so they can try to increase sales. Break-even analysis can also help businesses see where they could re-structure or cut costs for optimum results.
In nuclear fusion research, the term break-even refers to a fusion energy gain factor equal to unity; this is also known as the Lawson criterion. The notion can also be found in more general phenomena, such as percolation. In energy, the break-even point is the point where usable energy gotten from a process equals the input energy.
Payback period in capital budgeting refers to the time required to recoup the funds expended in an investment, or to reach the break-even point. [1]For example, a $1000 investment made at the start of year 1 which returned $500 at the end of year 1 and year 2 respectively would have a two-year payback period.
GNU MCSim a simulation and numerical integration package, with fast Monte Carlo and Markov chain Monte Carlo capabilities. ML.NET is a free-software machine-learning library for the C# programming language. [4] [5] NAG Library is an extensive software library of highly optimized numerical-analysis routines for various programming environments.
The field of numerical analysis predates the invention of modern computers by many centuries. Linear interpolation was already in use more than 2000 years ago. Many great mathematicians of the past were preoccupied by numerical analysis, [5] as is obvious from the names of important algorithms like Newton's method, Lagrange interpolation polynomial, Gaussian elimination, or Euler's method.
A critical part of CVP analysis is the point where total revenues equal total costs (both fixed and variable costs). At this break-even point, a company will experience no income or loss. This break-even point can be an initial examination that precedes a more detailed CVP analysis.
Genius (also known as the Genius Math Tool) is a free open-source numerical computing environment and programming language, [2] similar in some aspects to MATLAB, GNU Octave, Mathematica and Maple. Genius is aimed at mathematical experimentation rather than computationally intensive tasks. It is also very useful as just a calculator.
Two break even points are produced with the iron butterfly strategy. Using the following formulas, the break even points can be calculated: Upper Breakeven Point = Strike Price of Short Call + Net Premium Received; Lower Breakeven Point = Strike Price of Short Put − Net Premium Received [5]