Problem 14-07 [alga] Jack and Jill are the only two residents in a neighborhood, and they would like to hire a security guard. The yalue of a security guard is $50 per month to Jack and $00 per month to Jill. lrrespectiye of who pays the guard, the guard will protect the entire neighborhood and charge $120 per month for the seryice.$uppose Jack earns $4,000 per month and Jill earns $0.000 per month. a. With a proportional tart oi1 percent on income, how much would Jack and Jill pay, and would it be enough to pay for the security guard? This tax be enough to pay for the security guard. b. Suppose instead that Jack proposes a payment scheme under which Jack and Jill would each receive the same net benefit from hiring the guard. How much would Jack and Jill pay now? Jack would pay $ Jill would pay $ Would both Jack and Jill vote for this scheme?No. Jill will not vote for it. Yes. Both will vote for it