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The-maximum-value-of-Z-4x-2y-subject-to-constraints-2x-3y-18-x-y-10-and-x-y-0-is-




Question Number 60257 by rahul 19 last updated on 19/May/19
The maximum value of Z=4x+2y  subject to constraints 2x+3y≤18 ,  x+y≥10 and x,y≥0 is ?
$${The}\:{maximum}\:{value}\:{of}\:{Z}=\mathrm{4}{x}+\mathrm{2}{y} \\ $$$${subject}\:{to}\:{constraints}\:\mathrm{2}{x}+\mathrm{3}{y}\leqslant\mathrm{18}\:, \\ $$$${x}+{y}\geqslant\mathrm{10}\:{and}\:{x},{y}\geqslant\mathrm{0}\:{is}\:? \\ $$
Commented by rahul 19 last updated on 19/May/19
Ans: we cannot find max. value of Z !
$${Ans}:\:{we}\:{cannot}\:{find}\:{max}.\:{value}\:{of}\:{Z}\:! \\ $$
Commented by ajfour last updated on 19/May/19
True, unbounded region.
$$\mathrm{True},\:\mathrm{unbounded}\:\mathrm{region}. \\ $$
Commented by ajfour last updated on 19/May/19
Commented by rahul 19 last updated on 20/May/19
thanks sir.
$${thanks}\:{sir}. \\ $$

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