A transistor switches the coil of a relay, which has a resistance of 360 Ω, on a supply of 9.0 V…

A transistor switches the coil of a relay, which has a resistance of $360\ \Omega$, on a supply of $9.0$ V. The collector current is the current in the coil. The lowest value of $\beta$ in the batch is $80$. The control voltage from a logic circuit is $5.0$ V. Take $V_{BE} = 0.7$ V and $V_{CE(sat)} = 0.2$ V. Find the current in the coil when the transistor is saturated, the least base current that saturates it and the largest base resistor that does it.