The graph to the right shows a region of feasible solutions. Use this region to find maximum and minimum values of the given objective functions, and the locations of these values on the graph. AY a. z = 5x + 4y b. z = 6x + 9y c. Z = 4x + 5y d. z = x + 2y

a. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value of the objective function z = 5x + 4y is ◻️and is located only at the point(s)◻️ (Type exact answers. Use a comma to separate answers as needed.) O B. The maximum value of the objective function z= 5x + 4y is.◻️It is located at the points◻️ and at all points on the line segment connecting them. (Type exact answers. Use a comma to separate answers as needed.) O C. The maximum does not exist. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The minimum value of the objective function z = 5x + 4y is ?and is located only at the point(s)? (Type exact answers. Use a comma to separate answers as needed.) O B. The minimum value of the objective function Z= 5x + 4y is? (Type exact answers. Use a comma to separate answers as needed.) .It is located at the points ?and at all points on the line segment connecting them. •C. The minimum does not exist. …….. b. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value of the objective function z = 6x + 9y is? (Type exact answers. Use a comma to separate answers as needed.) and is located only at the point(s)? © B. The maximum value of the objective function z = 6x +9y is? (Type exact answers. Use a comma to separate answers as needed.) . It is located at the points and at all points on the line segment connecting them O C. The maximum does not exist. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. © A. The minimum value of the objective function z= 5x + 4y is? (Type exact answers. Use a comma to separate answers as needed.) and is located only at the point(s)? ………. C. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value of the objective function z= 4x + 5y is? (Type exact answers. Use a comma to separate answers as needed.) and is located only at the point(s)? O B. The maximum value of the objective function z= 4x + 5y is ?. It is located at the points ? (Type exact answers. Use a comma to separate answers as needed.) O C. The maximum does not exist. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The minimum value of the objective function z= 4x + 5y is ?and is located only at the point(s)? (Type exact answers. Use a comma to separate answers as needed.) O B. The minimum value of the objective function Z= 4x + 5y is? It is located at the points? (Type exact answers. Use a comma to separate answers as needed.) © C. The minimum does not exist. O B. The minimum value of the objective function Z = 6x + 9y is? . It is located at the points? (Type exact answers. Use a comma to separate answers as needed.) and at all points on the line segment connecting them. © C. The minimum does not exist. ………… D. A. The maximum value of the objective function Z = x + 2y is? (Type exact answers. Use a comma to separate answers as needed.) and is located only at the point(s) ?O B. The maximum value of the objective function z = x+ 2y is? (Type exact answers. Use a comma to separate answers as needed. It is located at the points? O C. The maximum does not exist. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The minimum value of the objective function z = x + 2y is? (Type exact answers. Use a comma to separate answers as needed.) and is located only at the point(s) O B. The minimum value of the objective function Z = x + 2y is? (Type exact answers. Use a comma to separate answers as needed.) It is located at the points O C. The minimum does not exist.