Solve Questions using R software and preferably with the lpSolve package in R

(a) The following is a linear programming (LP) problem min Z=X: + 3X2 + 3X3 s.t. X1 + X2 3 X2 + X3 > 5 X1 + X3 = 4 (b) The following is a mixed integer programming (MIP) problem max Z=x+y s.t. -3x + 2y21 -8x+10y 5 X1 + X3 = 4 (b) The following is a mixed integer programming (MIP) problem max Z=x+y s.t. -3x + 2y21 -8x+10y