The cost of controlling or eradicating noxious weeds on all property owned or controlled by a State department or political subdivision thereof or control authority, agency, commission, or board, including highways, roadways, streets, alleys, and rights-of-way, shall be paid by the entity out of funds appropriated for its use. When it is not feasible for the entity to conduct the control program, the Commissioner may proceed with the control and the entity shall reimburse the cost and these moneys shall be refunded to the appropriation from which they were expended.