MHT CET 2017 Math Solved Paper

(a) The objective function is given as, minimize,
z = 4x1+5x2
Subject to constraints, 2x1+3x2 ≤ 15, x2 ≤ 3 and x1,x2 ≥ 0
For line 2x1+x2 = 7

For line 2x1+3x2 = 15


Now, the value of z at comer points are calculatedas:

Hence, the minimum value of z is 14 at point (3,5,0) which lies on X-axis.