The first THREE questions pertain to the following linear program:

Max $2A+1\mathrm{.}5B$

Subject to:

$4A+6B24$

$5A+5B15$

$A2$

$A,B0$

The optimal solution & total profit of the LP are :

a$)(2,1)$&$$5\mathrm{.}50$

b$)(3,0)$&$$6\mathrm{.}00$

c$)(0,3)$&$$4\mathrm{.}50$

d$)(4,0)$&$$8\mathrm{.}00$

e$)(6,0)$&$$12\mathrm{.}00$