The graph of the feasible region is shown. Locate the corners of the feasible region in order to find the maximum of the given objective function (if it exists).
A)240
B)360
C)70
D)100
E)does not exist

Question

The graph of the feasible region is shown. Locate the corners of the feasible region in order to find the maximum of the given objective function (if it exists). ​  ​  ​
A)240 
B)360 
C)70 
D)100 
E)does not exist

Quizplus · Accepted Answer

We can identify the corners of the feasible region by looking at the intersection points of the lines. From the graph, we see that the corners are (0,20), (20,10), (30,40), and (0,40). 
Next, we need to evaluate the objective function at these corners to find the maximum value. Substituting the coordinates into the objective function, we get:

Corner (0,20): 240 
Corner (20,10): 360 
Corner (30,40): 700 
Corner (0,40): 400

The maximum value is 700, which occurs at the corner (30,40). Therefore, the answer is B) 360.

The Graph of the Feasible Region Is Shown