I need help with the two problems I have attached below.Please show work so I can see where I am messing up.. Thank you for any help you can provide...

10) Use the simplex method to maximize the given function. Assume all variables are nonnegative

Maximize F= 8x+9y Subject to

X+2Y =10

X + Y =7

(x.y)=_______

F=__________

11.) Use the simplex method to maximize the given function. Assume all variables are nonnegative.

Maximize

f = 2x + 6y

subject to the following.

2x + 5y = 50

X + 5y= 45

X + Y = 15

(x,y) = _______

F= _________