The $K_{M}$ for the reaction of chymotrypsin with $N$ -acetylvaline ethyl ester is $8.8 \times 10^{-2} \mathrm{M}$, and the $K_{M}$ for the reaction of chymotrypsin with $N$ -acetyltyrosine ethyl ester is $6.6 \times 10^{-4} \mathrm{M}$. (a) Which substrate has the higher apparent affinity for the enzyme? (b) Which substrate is likely to give a higher value for $V_{\max } ?$