Assesment $5-$Problem $1$

a$.$ Solve the following Linear Programming problem and obtain optimum solution. $(x1,x2,x3,x40)$

b$.$ You have been informed that variables $x3$ and $x4$ are integer variables.

Now, solve this mix integer programming problem and obtain optimum solution. $-$ integer$)$

MaxZ$=25x1+32x2+36x3+20x4$

Subject to:

$6x1+7x2+4x3+2x4950$

$3x1+4x2+8x3+3x4900$

$7x1+7x2+8x3+9x42000$