$(15$ points$)$ Answer the following questions based on the Lindo Output Report for the primal

LP $($above$)$

L$.$ ODTLUUM FOCND AT STE $2$

$4\mathrm{.}000000$

Row stackon stanty detas nacts

$0\mathrm{.}000000$

d$)1\mathrm{.}000000$

$0\mathrm{.}006000$

MO ITL$2$ATHONG$-2$

oss councint awons

R$.$

Row cUast ALtowAat ALtowast

List the basic variables at the optimum solution

b$.$ If the coefficient for $x_2$ was increased by $2,$ what would be the new optimum solution

c$.$ If the first constraint's RHS is increased by $1,$ what would be the new solution for the

objective function.