Blooper Industries must replace its magnoosium purification system. Quick & Dirty Systems sells a relatively cheap purification system for $$15$ million. The system will last $5$ years. Do$-$It$-$Right sells a sturdier but more expensive system for $$20$ million; it will last for $10$ years. Both systems entail $$1$ million in operating costs; both will be depreciated straight$-$line to a final value of zero over thelr useful lives; neither will have any salvage value at the end of its life. The firm's tax rate is $30\%,$ and the discount rate is $13\%.$

a$.$ What is the equivalent annual cost of investing in the cheap system?

Note: Do not round intermediate calculations. Enter your answer as a positive value. Enter your answer in million$$ rounded to $2$ decimal places.

b$.$ What is the equivalent annual cost of investing in the more expensive system?

Note: Do not round intermediate calculations. Enter your answer as a positive value. Enter your ansifer in millions rounded to $2$ decimal places.

c$.$ Which system should Blooper install?

$\backslash$table$[[$a$.$ Equivalent annual cost,$(4\mathrm{.}66),$millions$],[$b$.$ Equivalent annual cost,,millions$],[$c$.$ Which system should Blooper install?,Do$-$It$-$Right,$]]$W