An institution of this State getting inmates from the state prison system by any act or joint resolution of the General Assembly is required to pay to the Director of the Department of Corrections all monies expended by him for transportation, guarding, clothing, and feeding the inmates while working for the institutions and also for medical attention, and the officer in charge of any such institution also shall execute and deliver to the director, at the end of each year, a receipt of five dollars and fifty cents each month for the work of each inmate so employed.