(10 pts) A substrate is converted to product using an enzyme that follows the mechanism below when an inhibitor (I) and an activator (A) are both present in the reaction mixture. E+S(1)ES(2)E+PE+I(3)EIE+A(4)EAEI+S(5)EIS(6)EI+PEA+S(7)EAS(8)EA+P \{the inhibitor and activator do not bind simultaneously\} with reaction rate constants of k1 and k1 (and so on) for each of the reactions: A. Although this mechanism does not match exactly any of the inhibitor mechanisms discussed in class, which type of inhibitor is this most like (competitive, uncompetitive or non-competitive)? B. Write the enzyme balance equation. C. Write the total rate of product, P, formation based on the kinetic rate constants and concentrations of intermediate species. D. Write each of the equations that result from applying the rapid equilibrium and quasi steady state assumptions. E. Knowing that I is an inhibitor and A is an activator, discuss the relative values of k2,k6 and k8