Question
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
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
Answers
GPT 3.5
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.
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.