Linear Programming Question 117
Question: The maximum value $ z=5x+2y, $ subject to the constraints $ x+y\le 7,x+2y\le 10,x,y\ge 0 $ is
Options:
A) 10
B) 26
C) 35
D) 70
Show Answer
Answer:
Correct Answer: C
Solution:
Change the inequalities into equations and draw the graph of lines, thus we get the required feasible region as shown below.
The region bounded by the vertices A (0, 5), B (4, 3), C (7, 0).
The objective function is maximum at C (7, 0) and Max $ z=5\times 7+2\times 0=35. $
BETA
