Final answer:
A challenging piece of quantitative analysis in mathematics could be solving a complex optimization problem, such as maximizing the area of a rectangular garden with a limited budget.
Step-by-step explanation:
A challenging piece of quantitative analysis in mathematics could be solving a complex optimization problem. For example, consider a situation where you have a limited budget and need to maximize the area of a rectangular garden. You would need to use quantitative analysis to determine the dimensions of the garden that would yield the maximum area while staying within your budget. This type of problem requires understanding of mathematical concepts such as constraints, inequalities, and optimization algorithms.