Question

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the ilv-leu operon of bacillus subtilis comprises seven genes necessary for the biosynthesis of isoleucine, valine, and leucine. the structural genes of this operon are transcribed when these amino acids are deficient in the cell.
the vana operon codes enzymes that modify the binding targets of antibiotic vancomycin and therefore give antibiotic resistance to the bacteria. the structural genes of this operon are transcribed when the antibiotic vancomycin is present in the environment.
the ilv-leu operon is operon, and the vana operon is operon.
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Explanation:

For the ilv - leu operon: Operons that are transcribed when the end - product (the amino acids here) is deficient are repressible operons. The ilv - leu operon's structural genes are transcribed when isoleucine, valine, and leucine are deficient. So it is a repressible operon.

For the VanA operon: Operons that are transcribed when an inducer (the antibiotic Vancomycin here) is present are inducible operons. The VanA operon's structural genes are transcribed when Vancomycin is present, so it is an inducible operon.

Answer:

The ilv - leu operon is a repressible operon, and the VanA operon is an inducible operon.