Gene expression from the lac operon can be controlled in many ways, including a robust negative regulation strategy Select mutations that would reduce the effectiveness of this negative regulation and increase lac operon activity.

mutation that deletes the lacI gene
mutation of the-10 promoter sequence to more closely resemble the E. coli consensus sequence
mutation that increases the affinity of the operator regions for lactose repressor
mutation that reduces the affinity of the lactose repressor for lactose
mutation of the-10 promoter sequence to be less similar to the E. coli consensus sequence