Use Linear Programming to Solve Problems
Find the maximum or minimum value of the given objective function of a linear programming problem. The figure
illustrates the graph of the feasible points.
-Objective Function: z = 5x + 6y Find minimum.
A)minimum: 32
B)minimum: 33
C)minimum: 40
D)no minimum

Question

Quizplus · Accepted Answer

To find the minimum value of z, we need to identify the lowest point on the graph where the objective function intersects the feasible region. From the graph, we can see that the lowest point is at (4, 4), which gives a value of z = 5(4) + 6(4) = 32. Therefore, the minimum value of z is 32, and choice A is the correct answer.