I need help on Analysing multiple response categorical outcome

Dear all,

I am interested to learn the effect of my predictors [ Categorical and continuous ] on the outcome variable [ multiple categorical variable]. My study is to investigate whether socioeconomic variables of my respondents have any effect on the type of welfare assistance they applied, respondents can apply more than one type of assistance {e.g A1, A2, A3,A4). My question is, can I used logistic regression and analyse the effect of predictors on each assistance? For example (1) Effect of socioeconomic factors to apply A1 (2) Effect of socioeconomic factors to apply A2 and so on..

Thanks for your help and time