In order to effectuate the declared policy of ss. 573.101573.124, the department shall have the power to enter into marketing agreements, which agreements may contain any of those provisions contained in s. 573.114 with distributors, producers, and others engaged in the handling of agricultural commodities regulating the handling of the commodities, which marketing agreements shall be binding upon the signatories exclusively. The execution of a marketing agreement shall in no manner affect the issuance, administration, or enforcement of any marketing order. The department may issue a marketing order without executing a marketing agreement, or may execute a marketing agreement and issue a marketing order covering the same commodities.