Review Table $9\mathrm{.}1$ from your textbook, which is copied below. Choose one of the Barriers that has a role for government $($Number $1,3,4,$ or $5)$ and answer the questions that follow.

$\backslash \backslash$table$[[$Table $9\mathrm{.}1,$Barriers to Entry,$],[$Barrier to Entry,Government Role?,Example$],[1)$ Natural monopoly,$\backslash \backslash$table$[[$Government often responds$],[$with regulation $($or ownership$)]],$Water and electric companies$],[\backslash \backslash$table$[[2)$ Control of a physical$],[$resource$]],$No$,$DeBeers for diamonds$],[3)$ Legal monopoly,Yes,$\backslash \backslash$table$[[$Post office, past regulation of$],[$airlines and trucking$]]],[\backslash \backslash$table$[[4)$ Patent, trademark,$],[$and copyright$]],\backslash \backslash$table$[[$Yes$,$ through protection of$],[$intellectual property$]],$New drugs or software$],[\backslash \backslash$table$[[5)$ Intimidating potential$],[$competitors$]],$Somewhat,$\backslash \backslash$table$[[$Predatory pricing; well$-$known$],[$brand names$]]]]$

a$)$ Why is government intervention needed? $($Are there inefficiencies or costs that might result if the monopolist were allowed to retain its monopoly position?$)$

b$)$ Are there any benefits to society that might result from allowing the monopolist to retain its monopoly position? If so$,$ describe them.

c$)$ Briefly describe the nature of the government's role. Does it correct the problem you described in part $4a?$