An analyst considers a $2$ period binomial lattice model. The first $3$ nodes of the European call option's nodes were as follows $25\mathrm{.}5,5\mathrm{.}3,28\mathrm{.}3$ Determine the options payoffs at nodes $N4,N5,N6$ given that for the call at node N$7$ is $54$ payoff. $(4$ marks$)$