Question

Find the values of x and y that maximize the objective function P =3x +2y for the graph. What is the maximum value?

Answer 1

x = 9, y = 0 is the maximum value for this function. hence it is 27.

Answer 2

Sure why not :)

Answer 3

If you simplify the second equation, you get -3(3x+3y) = -30
which is 3x+3y = 10.
Both the equations are the exact same values. hence any value working for the first would work for the second.

Answer 4

So there is no specific answer?

Answer 5

@Mathbreaker

Answer 6

No not really. you cant conclude from these equations cause they're the same.
however they basically also mean that x + y = 10/3
now we know that 1/3 + 9/3 = 10/3 hence this could be x and y
but also 2/3 + 8/3 = 10/3 so this could work as well.
even 1.3/3 + 8.7/3 = 10/3... This concludes infinite solutions within the system.

Answer 7

Thank You!
Last One?

Answer 8

@Mathbreaker

Answer 9

x = 3.4, y = 0.4, z = -4

Answer 10

Thanks!! If you can, can you quickly tell me how you got that....?

Answer 11

z= 7 - 3x - 2y
replace it in the other 2 equations
you get 2 simultaneous equations for x and y
solve them
then when you have x and y, solve one equation for z. I wouldn't written more on this but i really need to go. I hope you get it from this...:)

Answer 12

Thank that really helped!

Answer 13

You're welcome :)