In addition to any permit authorized to be issued by this chapter, the state racing commission may issue not more than three permits for not more than fourteen consecutive racing days each at any race track, place, or enclosure. Not more than two permits shall be issued for quarter horse racing in one county. All racing under any permit issued pursuant to this section shall be limited to quarter horse racing only. This chapter applies to quarter horse racing, which shall be classified for this purpose the same as running horse racing. The minimum purse shall be five hundred dollars.