**The feasible region shown below is bounded by lines – x + 3y = 3, x + y = 4, and y = 0.**

**Find the coordinates of corner point A. Show work.**

**Answer:**

Solve the two equations below to determine the coordinates of corner point A.

-x+3y =3 … (1)

x+y =4 … (2)

Express equation (2) in terms of y.

y = 4-x …(3)

Substitute 4-x for y in equation (1).

-x+3(4-x)=3

-x+12-3x=3

4x=9

x=9/4

Substitute 9/4 for x in equation (3).

y=4 - (9/4)

y=(16-9)/4

y=7/4

Therefore the coordinates of corner point A is (9/4 , 7/4).