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Mathematics 19 Online
OpenStudy (anonymous):

help, picture attached. Show working thanks.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

sry about the long wait, what's on your mind?

OpenStudy (anonymous):

well i need help with mainly c and d

jimthompson5910 (jim_thompson5910):

is there a typo in the problem? I see a line with a negative slope in the graph, but all of the equations have positive slopes.

OpenStudy (anonymous):

nope the negative one is inequality 5

OpenStudy (anonymous):

if u rearrange it to y on the left side u can see that x is negative

jimthompson5910 (jim_thompson5910):

oh totally missed that one lol, one sec

OpenStudy (anonymous):

yeh kk thanks

jimthompson5910 (jim_thompson5910):

with part C), you simply plug x = 10 and y = 5 into each inequality and see if it satisfies every inequality

jimthompson5910 (jim_thompson5910):

so x > 0 ---> 10 > 0 ... which is true y > 0 ----> 5 > 0 ... which is true y <= x/2 -----> 5 <= 10/2 ---> 5 <= 5... which is true etc etc Do you see where this is going? Once you've shown that all inequalities are true, this will show us that they are complying with the restraints

OpenStudy (anonymous):

kk got it.

OpenStudy (anonymous):

how about d) ?

jimthompson5910 (jim_thompson5910):

have you plotted every inequality?

OpenStudy (anonymous):

yeh

jimthompson5910 (jim_thompson5910):

hmm I'm not entirely sure, but does it give you an objective function to maximize or minimize?

OpenStudy (anonymous):

nope, all they said is required in part d)

jimthompson5910 (jim_thompson5910):

alright one second

jimthompson5910 (jim_thompson5910):

I guess you don't need the objective function in this case. In this case, all you need to do is find the corner points of the feasible region and determine which ones have the max and min value of x.

OpenStudy (anonymous):

but it says min=17 & max=18 how are those answers obtained?

jimthompson5910 (jim_thompson5910):

hmm not exactly sure, but it looks like they found the max value of 18 by testing the point (18,6). But the issue here is that there isn't an objective function to go by.

OpenStudy (anonymous):

yeh so I am still confused as how they got 17 & 18??

OpenStudy (saifoo.khan):

I have to read this whole thing again! D:

OpenStudy (anonymous):

lol, please help! It's urgent!

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