I agree, totally. Besides in 2-27 if transitor is off Ib=0 and Ic=0 but I(Rc) is 1mA.
Also when transistor is saturated, β does not apply as it is in the nonlinear mode Ic/Ib is typically 10% of β but often standardized as Vce(sat) @ Ic/Ib = 10 for old transistors
and only 20 to 50 for newer low Vce(sat) types
So if Rc is 2K, Rb must be <= 18k if both go to 12V ( not 35.6k 98% accurate??)
Even the load is poorly defined. Is IL= 1mA when off and (-)10mA when on??
then collector draws <6mA from 2k and 10mA external for a total of 16mA
then if Ic/Ib =10 , Ib=1.6mA or 11.3V/1.6mA = 7k not 35.6k
I probably misunderstood the question but the use of Ic is certainly confusing.