The original advertisement was produced by the Massey Harris company, before the merger with Harry Ferguson, as the name does not appear on the farm equipment. It was produced between the years 1901 and 1909.This is because the American President that is pictured is Theodore Roosevelt, who led the country from 1901 to 1909.
Based on this timeline, it is likely that the method used to produce the poster was a technique called lithography (shown above). This is a technique that is still in use to this day. It involves treating a piece of paper with ink repelling solution, so that only the areas with a design will allow ink (History of Poster Printing 2015). In the early 1900s, printers would use a stone block that would provide pressure and ensure the image is placed on the paper.
This poster was also reprinted by Orchard & Ind Limited, which was located in Gloucester England. The company was founded in 1987 and went out of business around 2010. Based on this timeline, it is likely the reprint was done through a more modern method, such as laser printing (History of Printing Timeline 2016). This method uses water based ink, and has a laser beam that moves back and forth over the page (History of Printing Timeline 2016).