The equilibrium effects of a change in government purchases on consumption

I can't get a homework problem started due to wording. I desire to understand it, so I will only put down enough to show my line of thought.

we have a utility function to maximize, say $$u(c,\ell)$$, and some production function $$Y=zF(K,L)$$. The government purchases $$g$$ units of the consumption good using a lump-sum tax $$\tau$$.

My question: the problem states "government purchase does not enter consumer's utility."

Does this mean that we do $$\max_{c,\ell}u(c,\ell)$$, relating $$c=\ldots - \tau$$, and do not do $$\max_{c,\ell} u(c,\ell) + \phi(g)$$, also with some relation?

Thanks for any clarification

• I think your understanding is correct. – Herr K. Aug 30 '19 at 2:16
• I'm voting to close this question as off-topic because it is about interpretation of wording of a (homework) problem, not about economics – Maarten Punt Sep 6 '19 at 10:51

Generally government purchase would have effect on the price of goods in the market (the "crowding out" effect). The question is just saying that $$c$$ and $$\ell$$ are not functions of $$g$$.