Question 1 Consider this IP problem -x, + 2x, si4 Maximize Z-5x, +X2 Subject to X,X2 20 , and Xi, X2 are integers. a) b) c) d) e) Write the algebraic form of the equations for the LP problem, Form the tabular form of LP problem, Solve using the Simplex method, Solve using the M-method, Solve this IP problem graphically. f) Solve using LP relaxation.Tips: round this solution to the nearest integer solution and check whether it is feasible. For each rounded solution, if feasible, calculate Z. You can use either B-B or Cutting plane method. g) Give comments on your results based on i) shadow prices, li) binding constraints ili) sensitivity analysis