In $E$ coli, three structural genes $(A, D, \text { and } E)$ encode enzymes $A, D,$ and $E$ respectively. Gene $O$ is an operator. The genes are in the order $O-A-D-E$ on the chromosome. These enzymes catalyze the biosynthesis of valine. Mutations were isolated at the $A, D, E,$ and
O genes to study the production of enzymes $A, D$, and
E when cellular levels of valine were low
(T. Ramakrishnan and E. A. Adelberg. 1965. Journal of Bacteriology $89: 654-660$ ). Levels of the enzymes produced by part ial-diploid $E .$ coli with various combinations of mutations are shown in the following table.
a. Is the regulator protein that binds to the operator of this operon a repressor (negative control) or an activator (positive control)? Explain your reasoning.
b. Are genes $A, D,$ and $E$ all under the control of operator
O? Explain your reasoning.
c. Propose an explanation for the low level of enzyme $\mathrm{E}$ produced in genotype $3 .$