[Question] Analyzing effects of two independent variables on three response variables…using JMP

I am extracting plant materials using three levels of plant matter solutions concentration and three levels of sonication levels total 9 different treatments. The response variables arethe extract’s purity, target phytochemical extraction yield, and crude extract yield. I am using JMP, and each treatment is done triplicate.

My plan is to use F-test first to find if there is any difference in the three response from the two independent variables, and if there is, use either Fisher LSD or Tukey HSD to avoid the type 1 error. Does this sound like a good plan? Or should I run another test?