X>0 y>0-x+3>y y<1/3x+1

Use the following constraints and objective function to answer the next 3 questions. Objective function: C=5x−4y Question 1 Using a graphing calculator, find and select all the vertices for the feasible region.(1 point) Responses (0,3) (0,3) (1,0) (1,0) (-3,0) (-3,0) (3,0) (3,0) (1.5,1.5) (1.5,1.5) (0,1) (0,1) (0,0)

What is the maximum value for C

1 answer

To find the maximum value for C, we need to evaluate the objective function at each vertex of the feasible region.

The vertices of the feasible region are (-3,0), (0,0), (0,1), and (1.5,1.5).

Evaluating the objective function at each vertex:

At (-3,0): C = 5(-3) - 4(0) = -15
At (0,0): C = 5(0) - 4(0) = 0
At (0,1): C = 5(0) - 4(1) = -4
At (1.5,1.5): C = 5(1.5) - 4(1.5) = 3

Therefore, the maximum value for C is 3.