The minimum value of z = 10x + 25y subject to `0lexle3,0leyle3,x+yle5` is …….

Options

A. 80
B. 95
C. 105
D. 30

Answer

A

Explanation

Given, Z=10x+25y
and subject to `0lexle3,0leyle3,x+yge5`
On taking given constraints as equation, we get the following graph.

Here, intersecting point of lines x=3 and x+y=5 is A(3,2), intersecting point of lines y=3 and x+y=5 is B(2,3) and intersecting point of lines, x=3 and y=3 is C(3,3).
Here, ABCA is the feasible region whose corner points are A(3,2),B(2,3) and C(3,3)