[FONT=q_serif]Given that 5r + 4s + 3t + 6u = 100, where r ≥ s ≥ t ≥ u ≥ 0 are real numbers, find the sum of the maximum and minimum possible values of r + s + t + u. Please shed some light on how to solve this. I know you may not write the steps but can you at least explain how to do it. I have no idea how to even start - so dont ask me what i know ... please. This is not homework. This is an olympiad question, which I need to know how to do so please help me[/FONT]
[FONT=q_serif]Given that 5r + 4s + 3t + 6u = 100, where r ≥ s ≥ t ≥ u ≥ 0 are real numbers, find the sum of the maximum and minimum possible values of r + s + t + u.[/FONT]
[FONT=q_serif]Given that 5r + 4s + 3t + 6u = 100, where r ≥ s ≥ t ≥ u ≥ 0 are real numbers, find the sum of the maximum and minimum possible values of r + s + t + u.[/FONT]