Question
Mathematics Question on Relations and functions
Maximize Z=4x+9y, subject to the constralnts x=0, y =0,x+5y≤200,2x+3y≤134.
A
(A) 359
B
(B) 856
C
(C) 382
D
(D) 756
Answer
(C) 382
Explanation
Solution
Explanation:
Given:Z=4x+9y, subject to the constralnts x=0, y =0,x+5y≤200,2x+3y≤134.
The corner points of feasible region are A(10,38),B(0,40),C(0,0),D(67,0).The values of Z at the following polnts isCorner PointZ=4x+9yA(10,38)382MaximumB(0,40)360C(0,0)0D(67,0)268The maxlmum value of Z Is 382 at polnt A(10,38).Hence, the correct option is (C).