graph the system of constraints and find the value of x and y that maximize the objective function: x=0 y=0 y

Question

graph the system of constraints and find the value of x and y that maximize the objective function: x>=0 y>=0 y<=3 y<=-x+5 C=-5x+3y answer options in reply

haleyelizabeth2017 · Answer

a. (0, 0)
b. (2, 3)
c. (5, 0)
d. (0, 3)

haleyelizabeth2017 · Answer

@micahm this is what I need help with and 2 others :(

haleyelizabeth2017 · Answer

@TheSmartOne @Haichi

haleyelizabeth2017 · Answer

I don't get this :'(

thesmartone · Answer

@aum @jdoe0001 
can probably help you

haleyelizabeth2017 · Answer

Thank you

aum · Answer

Draw each inequality on the same graph.
Find the solution space.
Evaluate the function at each vertex on the boundary and find which one maximizes C.

haleyelizabeth2017 · Answer

That's still confusing....I'm normally good at math but my brain isn't working and I still have a Gov test to do :'(

haleyelizabeth2017 · Answer

one second. I will try it

aum · Answer

Skip the first two inequalities.  All it means is the first quadrant.

haleyelizabeth2017 · Answer

That's even more confusing

aum · Answer

y >= 0 means above and including the x-axis
x >=0 means to the right and including the y-axis.
That is the first quadrant with both x and y axes included.

haleyelizabeth2017 · Answer

Okay :) thank you......one second....almost done

aum · Answer

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aum · Answer

Find C at (0,0); (5,0); (2,3); (0,3) and see which one maximizes C.

haleyelizabeth2017 · Answer

how? I'm sorry to be taking so much time....this is just really confusing for me and I have no idea why :'( so like plug in x and y and see which on like is greater than c or something?

haleyelizabeth2017 · Answer

I have no idea

aum · Answer

The first four inequalities are the constraints.  You can select x and y values only from the region that satisfies all 4 inequalities.  In the diagram above, the region marked "Solution Space" is the region that satisfies all 4 inequalities.

The points of interest are those that lie on the boundary. Test each point and see which one gives the largest C.
C = -5x + 3y
at (0,0); C = 0
at (5,0); C = -25
at (2,3); C = -10 + 9 = -1
at (0,3); C = 0 + 9 = 0

C is maximum at (0,3)

haleyelizabeth2017 · Answer

Thank you so much! OH!!!! so it it the most like um......biggest amount?

haleyelizabeth2017 · Answer

THANK YOU SO MUCH FOR HELPING ME @aum!

aum · Answer

Yes.  You are welcome.

haleyelizabeth2017 · Answer

:) I got it now

aum · Answer

Good.