The tea company aimed to pack 200g packets for a 30% profit margin but ended up with a 25% profit due to incorrect machine settings. The equations established are: for a 30% profit, the selling price is defined as $p = 1.3(200c)$, and for a 25% profit, it is $p = 1.25[(200+x)c]$. By dividing these equations, the relationship between the profit margins and the additional tea can be analyzed, leading to the conclusion that the extra tea per packet can be calculated by solving the equation $1 = \dfrac{1.3(200)}{1.25(200+x)}$.
PREREQUISITESBusiness analysts, financial planners, and anyone involved in pricing strategies or profit margin analysis in retail environments.