स्वयं पञ्चमुखः .. How will Shiva survive if Annapurna not at home?

This is verse amusing prayer to Annapurna

पञ्चमुख शिवः

अन्नपूर्णा

षडाननः

गजाननः

स्वयं पञ्चमुखः पुत्रौ गजाननषडाननौ । 

दिगम्बरः कथं जीवेत् अन्नपूर्णा न चेद्गृहे ॥

svayaṃ pañcamukhaḥ putrau gajānanaṣaḍānanau । 

digambaraḥ kathaṃ jīvet annapūrṇā na cedgṛhe ॥

स्वयं = (Shiva) Himself, पञ्चमुखः = Five faced, पुत्रौ = two sons are , गजानन = One with elephant face (Ganesha) , षडाननौ =  One with six faces (Skanda)

दिगम्बरः = Naked one (Shiva) ,  कथं =  How , जीवेत् = will he live? ,  अन्नपूर्णा = Godess Annapurna , न = not ,  चेत् = if , गृहे = in the house  

Five mouthed himself(Shiva), and sons the elephant mouth (Ganesh) and the one with six mouths (Kartikeya) .. 

How would Shiva survive if Annapurna (Parvati) was not at home?