A receiver subsystem has a noise figure of 6 dB, a 1 dB compression point of 21 dBm (referenced to output), a gain of 30 dB , and a third-order intercept point of 33 dBm (referenced to output). If the subsystem is fed with a noise source with $N_i=-105 \mathrm{dBm}$, and the desired output SNR is 8 dB , find the linear and spurious free dynamic ranges of the subsystem. Assume a system bandwidth of 20 MHz .