Help with one quick question please? #Medal+Fan

Question

anonymous · Answer

sure, whats ur question?

anonymous · Answer

Graph the system of constraints. Name all vertices. Then find the values of x and y that maximize or minimize the objective function. Find the maximum or minimum value.

anonymous · Answer

Maximum **

anonymous · Answer

:e im not good at this stuff im sowwie

anonymous · Answer

@hartnn Tried using desmos to graph but It won't work for this Equation..

anonymous · Answer

what do you think it is?

anonymous · Answer

The online graphing calculator Desmos doesn't support the first line of the equation so Im not sure.

anonymous · Answer

wait

hartnn · Answer

try separating it into 2 equations
$x+y \le 13 \ x+y \ge 6$

anonymous · Answer

do we have x>=0 and y>=0 also?

anonymous · Answer

lol @LetsLearn2000 You got that pic from google XD

anonymous · Answer

Okay I'm about to try @hartnn

anonymous · Answer

@hartnn Here it is. Do you think I would get the same solution though by doing that?

hartnn · Answer

yes, you'd get a same solution

anonymous · Answer

Ok, can you take me through it now that I have the graph just to assure I get this correct.

hartnn · Answer

ok, 
what are the 4 intersection points of the feasible region?

anonymous · Answer

(5,1) (3,3) (3,10) (12,1)

hartnn · Answer

correct!

now plug each of them in P = 4x+3y

hartnn · Answer

like 3,3 

P = 4(3) + 3(3) = 12 + 9 = 21

anonymous · Answer

Okay, then what ever plots result in having the highest number is the maximum.. correct?

anonymous · Answer

and I would put those plots I listed as my "vertices" correct?

hartnn · Answer

yes and yes :)

anonymous · Answer

Ok thanks so much! :)

hartnn · Answer

welcome ^_^