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August 19th, 2017, 04:18 AM   #1
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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
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File Type: jpg Mathexercise.JPG (37.7 KB, 10 views)
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August 19th, 2017, 04:33 AM   #2
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$ax+by \le c \implies y \le -\dfrac{a}{b}x + \dfrac{c}{b}$

Since each coefficient is positive ...

slope, $m = -\dfrac{a}{b} < 0$, a negative slope for the boundary line

$\dfrac{c}{b} > 0$, a positive y-intercept

region is shaded below the boundary line

What may you conclude?
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August 19th, 2017, 07:18 AM   #3
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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
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