The state board of education may assess a fee to students preparing to be physicians in the fields of medicine or osteopathic medicine who are supported by the state pursuant to an interstate compact for a professional education program in those fields, as those fields are defined by the compact. The fee may not exceed an amount equal to four percent (4%) of the annual average medicine support fee paid by the state. The fee must be assessed by the board and deposited in the rural physician incentive fund established in section 39-5902, Idaho Code, to be administered by the department of health and welfare. Moneys are also payable into the fund from state appropriations, private contributions, gifts and grants and other sources. Income and earnings on the fund shall be returned to the fund. Subject to appropriation, the state shall match student contributions to the fund at a rate of two state dollars ($2.00) for every one dollar ($1.00) assessed as a student fee. The expenses of administering the physician incentive fund portion of the fund shall not exceed ten percent (10%) of the annual fees assessed pursuant to this section.