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August 19th, 2017, 03:18 AM  #1 
Newbie Joined: Aug 2017 From: Germany Posts: 2 Thanks: 0  Need help for ax+by =< c, where 0<a<b<c
Hey Guys Could anybody please explain me how this attached exercise works? The correct answer for this would be K Best regards Kevin 
August 19th, 2017, 03:33 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,755 Thanks: 1405 
$ax+by \le c \implies y \le \dfrac{a}{b}x + \dfrac{c}{b}$ Since each coefficient is positive ... slope, $m = \dfrac{a}{b} < 0$, a negative slope for the boundary line $\dfrac{c}{b} > 0$, a positive yintercept region is shaded below the boundary line What may you conclude? 
August 19th, 2017, 06:18 AM  #3 
Newbie Joined: Aug 2017 From: Germany Posts: 2 Thanks: 0 
c/b >=y, therefore the shaded space has to be under the line. y can increase to a certain number but can decrease to any number, because it is always smaller or equal than the postive number c/b. Thanks a lot for your help 