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D1 Linear Programming

Hi, i can normally do linear programming on D1 quite well however this question is really confusing me.

Here is the question:

sdsdsds.png

The answer I got for the top constraint was x = 2y + 15, but the actual answer is x = 2y + 30 (The sign should be greater than or equal to but idk how to put that in)

Thanks!

edit: added more info
(edited 10 years ago)
Reply 1
Original post by ali.s1002
Hi, i can normally do linear programming on D1 quite well however this question is really confusing me.

Here is the question:

sdsdsds.png

The answer I got for the top constraint was x = 2y + 15, but the actual answer is x = 2y + 30 (The sign should be greater than or equal to but idk how to put that in)

Thanks!

edit: added more info


Equation for a line is y=mx+cy=mx+c, where m is the gradient and c is the y-intercept.

The gradient is 1/2, and the y-intercept is 15, so the equation of the line is:

y=12x+15y=\frac{1}{2}x + 15

2y=x+302y = x +30
Reply 2
Original post by justinawe
Equation for a line is y=mx+cy=mx+c, where m is the gradient and c is the y-intercept.

The gradient is 1/2, and the y-intercept is 15, so the equation of the line is:

y=12x+15y=\frac{1}{2}x + 15

2y=x+302y = x +30


Ah of course I should have noticed that, thank you!
Reply 3
so would they be y < 1/2 x + 15 and y > 1/4 x?
(edited 10 years ago)
Original post by MrDobney
so would they be y < 1/2 x + 15 and y > 1/4 x?


I'd think you want <= and >=, but other than that, yes.

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