The simplex method is the most fundamental tool in linear programming, it is a single algorithm that is able to solve any kinds of linear program regardless of its format, number of variables and constraints. We firstly transform the linear program to a standard form, then we focus on the standard form. The idea of…
Category: Quick Recap
Gross Income for Individuals
Gross Income Gross income is all income from whatever source defined, it includes income realized in any form whether in money, property or services. If receive property or services, use Fair Market Value. Taxpayer recognize gross income when: They receive an economic benefit Increase in net worth (assets minus liabilities) Borrowed funds represent a liability,…
Homogeneous Linear Differential Equations
Linear homogeneous differential equation is the second-order ODEs that has the form below, It is important that the function p and q do not depend on x and any of its derivatives: A second-order homogeneous ODE with constant coefficients takes the form below, where a, b and c are constants. Euler Method for Higher-Order ODEs…
First-Order Differential Equations
Euler Method Euler method is a very simple numerical method that can be used to solve differential equations. For example dy / dx = f(x, y) , there is usually no such a thing as an analytical solution, so one has to solve numerically with an initial condition y(x0) = y0 . Numerical methods approximate…
Administrative Regulations
Administrative Agencies Administrative agencies are government entities that are housed in the executive branch. They make rules, investigate violations, enforce rules. Every administrative agency only has power because Congress passed some statute (called enabling legislation) that gave it power. Executive agencies Firmly housed within the executive branch, do what the president says.E.g.: FBI. Independent agencies…
Probability, Sampling & Inference
In the 1930s, Jerzy Nayman and others made some very important breakthroughs in this area and his work enabled researchers to use random sampling as a technique to measure populations. It means we did not have to measure every single unit in the population to make statements about the population (inference). The first important step…
The Flow of Funds Theory
Hyman Minsky had something called financial instability hypothesis, suggesting that there was something inherently unstable about financial system and that the role of the central banks is to kind of put bounds on that and prevent it from flying off into space. Flow of Funds Flow of Funds is a set of accounts that was…
Vector Calculus: Basics
Vector Calculus is also known as Multivariate Calculus or “Calculus 3”. Calculus 1 and 2 are Differential Calculus and Integral Calculus respectively (both are single variate). Vectors A vector is a quantity that has a length associated with it, and a direction. It is not anchored in any particular spot. Besides, scalars are quantities that…
Linear Algebra in Operations Research
There are 2 perspectives to look at linear equation systems, row view and column view. Both are equivalent, sometimes row view is more intuitive, sometimes column view is easier to understand. Linear Equations (n = 2) By row Each equation represents a straight line on the x-y plane.The intersection is the only point on both…
Debtor-Creditor Relationships
Bank Financing Sureties and Guarantors Sureties and guarantors are people who agree to be liable for a debt in the event that the primary debtor refuses to pay, or is unable to pay. In order to convince a bank to lend you some money, you can either gather up some collateral and pledge it as…
From National Banking System to Federal Reserve
A few things about Allyn Young He goes against economic orthodoxy. There are 3 dimensions where he is engaging with the economics. There are 3 more dimensions where he engages with the outside world: Civil War Finance Government is fighting a foe and it has to mobilize as many resources as possible in order to…
Six Sigma: Basics of Lean
An organization could benefit from Lean in many ways: Customer focus Focus on customers, it is much cheaper to satisfy and keep a customer, than to find new ones. Culture change Change of culture is critically important and difficult. Satisfied engaged employees will in turn satisfy and delight customers. Capacity Increase capacity without addition of…
Corporate Finance
Time Value of Money Money received or paid at different time is like different currencies. You can’t add it. Money has a time unit. You must convert them to a common unit to aggregate. Typically we refer to time 0 as today on the time line. Get in the habit of placing cash flows on…
Six Sigma: Teams
A team is a group of people working together to achieve a common purpose for which they hold themselves mutually accountable. There are many circumstances where teams perform better than individuals. We all have certain skills and abilities. Working on a team allows you to collaborate with others who have different skills and abilities and…
Financial Statement: Company Performance
Financial statements are representations or substitute attributes meant to measure attributes of a company. Income Statement Balance sheet is like a photograph taken on a particularly date. Meanwhile income statement depicts what occurred during the period that changed the company’s position from the beginning of the period to its position at the end of the…