Under which economic system are businesses privately owned with the possibility of profit?

In a market economy, the businesses are privately owned, which means they receive their own revenue and handle their own expenses. 

Market economy 

Magma forms by partial melting of upper mantle and crust. partial melt means that only a fraction of the available material forms a melt, and that the remainder stays solid. the partial melt rises because of its lower density and ascends through he crust. this is so conclusive mean the answer would be magma igneous rocks or balistic magma.