Menu Close

Question-209123




Question Number 209123 by Spillover last updated on 02/Jul/24
Answered by A5T last updated on 02/Jul/24
max(1000x+600c) given c≥4x and x+c≤200  4x−c≤0 and x+c≤200⇒x≤40  ⇒max(1000x+600c)=1000×40+600×160  =136000.
$${max}\left(\mathrm{1000}{x}+\mathrm{600}{c}\right)\:{given}\:{c}\geqslant\mathrm{4}{x}\:{and}\:{x}+{c}\leqslant\mathrm{200} \\ $$$$\mathrm{4}{x}−{c}\leqslant\mathrm{0}\:{and}\:{x}+{c}\leqslant\mathrm{200}\Rightarrow{x}\leqslant\mathrm{40} \\ $$$$\Rightarrow{max}\left(\mathrm{1000}{x}+\mathrm{600}{c}\right)=\mathrm{1000}×\mathrm{40}+\mathrm{600}×\mathrm{160} \\ $$$$=\mathrm{136000}. \\ $$
Commented by Spillover last updated on 02/Jul/24
thank you
$${thank}\:{you}\: \\ $$
Answered by Spillover last updated on 02/Jul/24

Leave a Reply

Your email address will not be published. Required fields are marked *