Calculate demand per household

[Mara02]

I am attempting to calculate the demand per household for a good i after a price change. I have the income, own and cross price elasticity for each household for every good i to k.

Currently my model is lnQi = c + EilnPi + EijlnPj + .... + EiklnPk + UilnI

where Q is quantity, P is price, E is price elasticity, U is income elasticity and I is income.

Firstly, is my model correct and secondly how can I estimate lnQi in Eviews.

Any help will be greatly appreciated.