An operations manager is performing a factor$-$rating analysis to help her choose anoutsourcing provider. She is focusing on three factors: A$,$ B$,$ and C$,$ with weights of$0\mathrm{.}50,0\mathrm{.}20,$ and $0\mathrm{.}30,$ respectively. She has scored one potential outsourcing provider,Linko Services, on each of the factors using a scale of $10-50.$ Linko Services receiveda score of $30$ for factor A$,46$ for factor B$,$ and $22$ for factor C$.$ What is the factor$-$rating score for Linko Services?$029\mathrm{.}2021\mathrm{.}8030\mathrm{.}8032\mathrm{.}7$