Changing only the collector resistance moves load demand against the same drive limit. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Six ohms asks for only two amperes
With collector resistor 6 ohm, load demand is 2 A. Drive stays 3 A, so collector current is 2 A and output is 0 V.
Iload=2A,3A>2A
Four ohms is exactly the saturation boundary
With collector resistor 4 ohm, load demand is 3 A. Drive stays 3 A, so collector current is 3 A and output is 0 V.
Iload=3A,3A=3A
Three ohms asks for more current than beta can supply
With collector resistor 3 ohm, load demand is 4 A. Drive stays 3 A, so collector current is 3 A and output is 3 V.