In a glycerol production plant, the profit of the system is a function of the reactant conversion, x as shown in the following function: Profit=x+21+x211+x2[12(1+x2)1] By using the following initial values, select the method that need to be used to find the conversion that will result in the maximum profit system (Hint: it is acceptable if the approximate percentage of error is less than 3%). a) x1=0.4 and xu=1(BY USING GOLDEN SEARCH METHOD) b) x0=0.1,x1=0.4 and x2=1 (BY USING QUADRATIC INTERPOLATION)