(a) The county surveyor shall be allowed to establish a reasonable fee for each of the following acts:

(1) Surveying a town lot and returning a certificate thereof;

(2) Surveying a tract of land;

(3) Making a plat and recording, advertising, and transmitting the same to the Secretary of State's office;

(4) Making a resurvey of land by order of court;

(5) For every other survey, making and certifying a plat thereof and transmitting the same;

(6) Running lines between counties or districts or making new lines, per day, the county surveyor furnishing the chainbearer and provisions;

(7) Making a plat of homestead, affidavit, and return;

(8) Making each additional plat where there is more than one lot; and

(9) Making any other survey he may be called upon or required to perform.

The fee established by the county surveyor shall be reasonably equivalent to the same fee which would be charged if the survey had been conducted by a private surveyor.

(b) The county surveyor shall be allowed to contract for his services in the same manner as private surveyors, whenever he is called upon or required to make a survey for a private or a corporate benefit or by order of the county governing authority or by order of the court.