Consider the open-loop transfer function: Gp(s)=(6s+1)(4s+1)10e2s a. Develop a FOPTD model for Gp(s) using Skogestad's method. b. For a given unit step change in Ysp, what is the time domain open-loop response for the FOPTD model you developed in part a. Sketch the approximate response. c. If the process is controlled by a P-only controller (Gv=GM=1), what should be the sign of KC for desirable control? d. Use a first-order Pade approximation for the time delay (use the real Gp(s), not the FOPTD model) and find the allowable range of the controller gain for the stability using the Routh criteria and the direct substitution method