Final answer:
The question pertains to solving a nonlinear programming problem to find values that maximize a specific mathematical expression while respecting a constraint. The information provided in the question does not align with the problem, hindering the provision of a definite solution. Normally, such problems are approached with optimization techniques like the Lagrangian multiplier method.
Step-by-step explanation:
The subject question revolves around solving a nonlinear programming problem, which falls under the realm of mathematics, specifically within an advanced level that could be encountered in college courses. The objective is to maximize the expression 400 - 3x2 - 4y2 while satisfying the constraint 2x + 4y ≥ 500. However, the provided information in the question seems to be either out of context or part of different problems, as it does not directly relate to the maximization question stated. Therefore, it is challenging to provide an accurate solution without additional relevant information pertaining to the problem's constraints and objective function.
Normally, to solve such a problem, one would apply techniques such as the Lagrangian multiplier, or numerical methods if an analytical solution is not feasible. The solution would involve finding the values of x and y that maximize the objective function while adhering to the given constraints.