A laissez-faire economy is one where there is no interference within the government, so that's not correct.
There's no such thing as a public-goods economy (according to google at least), but public goods are things that the government provides for the most part. It's accessible by everyone.
A free-market economy is where the government has little to no control, similar to a laissez-faire economy, so that's not right.
Your question is literally the definition of a command economy, so that's right!