VI$.(34$ pts in total$)$ Manager John is making decision in the following situation. The three decision alternatives are A$,$ B$,$ and C$.$ Probabilities of unfavorable, so$-$so$,$ and favorable economy are $0\mathrm{.}2,0\mathrm{.}45,$ and $0\mathrm{.}35$ respectively. The payoff table is as below:

Payoff table:

$\backslash$table$[[$Investment alternatives,Economy Development$],[$un$-$favorable,So$-$so$,$favorable$],[$Prob $=0\mathrm{.}2,$Prob $=0\mathrm{.}45,$Prob $=0\mathrm{.}35$