the expected profit : f$($u$)-(3$a$+$s$+4)$

$(0,0)$ expected reward is $0$

$(0,1)$ expected reward is f$(1)-(3*1+0+4)=6-7=-1$

$(0,2)$ expected reward is f$(2)(3*2+0+4)=810=-2$

$(0,3)$ expected reward is f$(3)(3*3+0+4)=813=-5$