Find the maximum value of

P = 5x + 6y

subject to the following constraints:

X + y = 6

2x + 3y = 16

X>0

y20

P = [?]

Enter

Hi!

So,

x+y=6 = > x=6-y

Now you subtitute x with 6-y in the following equation:

2x+3y=16 = > 2 * (6-y) + 3y=16

2*6-2y+3y=16

12+y=16

y=16-12

y=4

Now, we know that y=4, so we use the first equation to find x:

x=6-y

x=6-4

x=2

We jut found out that x=2 and y=4, so we will be calculating P:

P=5x+6y

P=5*2+6*4

P=10+24

P=34