If any change or alteration of the contract is ordered, it shall be specified in writing by a duly authorized officer of the county. The cost of such change or alteration must be agreed upon between the board and the contractor unless the contract includes a provision to determine a fair and equitable price for the change or alteration. Such a provision may provide for any method of determining the price common in commercial transactions, including, but not limited to, arbitration or cost plus a fixed fee. If the cost so agreed upon: