$10-28.($Capital rationing$)$ Kanye Company Ltd$.$ is considering five capital investment proposals for which the total funds available are limited to a maximum of $$10$ million. The projects are independent and have the following costs and profitability indexes associated with them:

$\backslash$table$[[$PROJECT$,$COST,PROFITABILITY INDEX$],[$A$,$$$4$ million,$1\mathrm{.}20],[$B$,$$$3$ million,$1\mathrm{.}80],[$C$,$$$5$ million,$1\mathrm{.}50],[$D$,$$$2$ million,$2\mathrm{.}20],[$E$,$$$6$ million,$1\mathrm{.}50]]$

a$.$ Under strict capital rationing, which projects should be selected?

b$.$ What problems are there with capital rationing?