I’ll give brainiest answer : ) [image]

20

Step-by-step explanation:

Step 1: Find the vertices (intersections) of the constraints by either graphing or solving the system of equations. I graphed them and found two of the vertices: (0, 1) and (4,0) but needed to solve the system to find the third vertex (point of intersection).

-x + 3 = + 1

+x   -1     +x  -1

      2 =

  (3)2 =

      6 = 4x

   ÷4   ÷4

      =  x

y = + 1

  = + 1

  =   + 1

   =

Third vertex is at

Step 2: Input the vertices into the objective function: C = 5x - 4y

(0, 1): C = 5(0) - 4(1)

            =   0   -  4

            =      -4

: C = 5 - 4

            = -

            =      

            =      1.5

(4, 0): C = 5(4) - 4(0)

            =  20   -  0

            =      20

Step 3: Evaluate the answers above to find the maximum: 20

Don’t worry about it

Ithink is a. true, but not sure