Linear algebra

4 The Simplex Method As we have seen, a linear programming problem forms a convex polygon in the best possible scenario. It is imperative to obtain a process that would assist in determining the optimal solution without the need to examine the graphical representation. The need for an algorithm that would perform such process was essential in the early days of the formulations of linear programming problems. Although challenging, the task was accomplished by a mathematician of the twentieth…

Figure 3 shows the voter turnout in the dataset years as the lines are representation of the countries Figure 4 shows an easier explanation of average of voter turnout for the countries in the dataset. This shows the overall to give the average turnout because figure 4 gives an understanding of this. The countries that have higher turnout are more of List PR and the lower ones are FPTP. An interesting outcome of this looking at the Scandinavian countries all have mostly higher turnout comparing…

T.T.M Kannan et al. [2014] performed the experiment on AISI 316 Austenite stainless steel to investigate the heat partition, tool wear and tool life. In their investigation they found that CBN cutting inserts has been damaged in moderate cutting velocity and produce good machinability and higher cutting temperature decreases the yield strength of produced white layer. [11] R.Suresh et al. [2014] studied the effect of various cutting parameters in hard turning of AISI H13 steel at 55 HRC with…

The Transverse Mercator Projections is a transverse cylindrical conformal projection also known as the Gauss-Kruger, it is one of the well-known projections in the world for its variation of the Mercator projections (Chang, 2010). The Transverse Mercator Projection (TMS) is similar to the Mercator projection which uses Standard Parallel whereas TMS uses the Standard Meridian. This means that it is longitudinal in the meridians not in the Equator, making it to be conformal and not preserving a…

Supply chains that are complex are commonly modeled as linear programs (LPs). They can effectively trade off broad range of criteria. To model FMCG supply chains accurately, one must include discrete aspects of decision making, which requires solving a mixed-integer program (MIP). It has become significantly important for managers, given the widespread use of linear models today, to be able to develop good, efficient models to aid them in the decision-making process. Three important factors;…

PROCEDURE: Hirko, R. Chemistry 112L General Chemistry I Laboratory, Ninth Edition; bluedoor: Minneapolis, 2015; Experiment 4. Trial P/ppm Abs @ 400 nm / AU Volume beverage / mla Volume dilution water / mla Total volume of diluted sample / mla P in soda / ppm 1 0 .001 2 1.333 .160 3 3.333 .280 4 6.667 .585 U1 2.560 .228 .870 45.610 46.480 205.153 U2 2.607 .232 1.020 50.266 51.386 197.005 U3 3.374 .298 1.196 43.252 49.448 209.244 Ave 204 Unc ±12 RESULTS: The recorded…

Moreover, assumption of a linear relationship between the independent and dependent variables is necessary because standard multiple regression can only accurately estimate the linear relationship. The last assumption need to be satisfied is the assumption of homoscedasticity. A residual analysis and a fitness test are conducted to verify the assumption before the analysis…

A0130036Y Method 1: Box Plot The question asks if Road Handling is part and parcel of Practicality, i.e. whether road handling is an essential component influencing/affecting another data group, practicality. Thus, road handling is taken to be the independent variable, x, and is ranked from the lowest to the highest score. The data is split into 5 groups, Group 1 and 5 containing the lowest-ranked and highest-ranked road handling scores, respectively. Group 1 2 3 4 5 Median 4.58 4.585 4.455…

Short Paragraph on A Rainy Day Question: Write a paragraph in about 100-120 words on ‘a rainy day’. You have to use the following questions in writing this paragraph: What is a rainy day? How does the sky look on a rainy day? What is the appearance of a rainy day? What do animals do on this day? What are the conditions of roads? What happens to poor people? How do students and some people spend the day? Answer: If it so happens that it rains all day long, we call it a rainy day. In such a day,…

an increase from the projected sales by $8000 dollars. This increase would equate to a 2.7% change from the forecast and within the 3.6% standard error percentage. The data in this forecast model is built the correlation between the seasonal and linear yearly growth of sales for C’mon Back Restaurant. This model assumes no other independent variable which could impact sales. As Puerto Rico is a Caribbean nation, it is subject to severe weather patterns, hurricanes. The impact of a hurricane…