(1D points] We consider the following LP. Maximize z = 3:31 + 2:32 subject to 3:1 '5 4 1'1 + 332 'S 15 2551 + 5152 'S 1'3 1'1 2 0,552 2 U a) Write the dual LP. Make sure you include all relevant parts. b) Show that setting all dual variables equal to 10 gives a feasible dual solution. C) Use a duality theorem and part b) to make an}.r valid conclusion about the primal LP