2. (30 pts) Solve the problem graphically using the below steps. maximize Z = 3x1 + 6x2 subject to 3x + 2x2 = 18 x1 + x2 25 x 54 x1, x2 > 0 A. Create a table for the data given in the problem B. Define the below as "words = mathematical symbols" a. Decision variables: b. Parameters C. Write out the mathematical formulation of the problem D. Treating constraints as equalities, solve for the axis-constraint intersection points. E. Create a graph of the solution space, including all your constraints. F. Solve for the intersection(s) of constraints and plot on the above graph G. List the extreme points and calculate their objective function values H. Write out the problem solution in words as you relay it to the decision maker. Why is optimization a good management science technique to solve this problem as formulated