Problem 11-9 (Algorithmic) production line. Onne the line has been set up, the weekly production capacities are 55006 -cylinder connecting rods and snoo 4-cylinder connecting rods. Let x4= the number of 4 -cylinder connecting rods produced next week x0= the number af 6-cylinder connecting rods produced next week s4=1 if the production line is set up to produce the 4 -cylinder connecting rods; 0 if otherwise s6=1 if the production line is set up to produce the 6 -cylinder connecting rods; 0 if otherwise a. Using the decision variables x4 and s4, write a constraint that limits next week's production of the 4-cylinder connecting rods to either 0 or 8000 units. b. Using the decision variables x5 and s6, write a constraint that limits next week's production of the 6 -cylinder connecting rods to either 0 or 5500 units. c. Write three constraints that, taken together, limit the production of connecting rods for next week. d. Write an objective function for minimizing the cost of production for next week. Minx4+x6+s4+s6