$Q(6A)$ Let $V_n$ be the present worth of the project, $n,c_n$ be the investment required for projects $n.K$ be the total capital available for investment and $N$ the number of projects.

Cost $=100$

$\backslash$table$[[n,1,2,3,4,5],[V_n,63,52,32,28,20],[c_n,51,42,32,23,15]]$

a$)$ why all projects cannot be started.

b$)$ write a linear program model for these project allocation.

c$)$ Use Branch and Bound algorithm to find optimum allocation.