In any area of the state where there are substantially more requests for prescribed burning operations or other hazardous fuel reduction pursuant to this article than can be conducted directly by the department in a single fiscal year, the director may, with the approval of the Director of Finance, enter into an agreement with private consultants or contractors or with other public agencies for furnishing all or a part of the state’s share of the responsibility for planning the operation, preparing the site, and conducting the prescribed burning or other hazardous fuel reduction. The private consultant or contractor or other public agency, and the work assignments of its employees, shall be supervised by the fire boss when conducting prescribed burning operations, or designated officer of the department when conducting other hazardous fuel reduction, as provided in subdivision (c) of Section 4476. No agreement may be entered into pursuant to this section unless the director determines that it will enable the prescribed burning operation to be conducted at a cost equal to, or less than, the cost that would otherwise be incurred by the state.