production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4= the number of 4 -cylinder connecting rods produced next week x6= the number of 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 8,000 units. (b) Using the decision variables x6 and s6, write a constraint that limits next week's production of the 6 -cylinder connecting rods to either 0 or 5,000 units. (c) Write a third constraint that, taken with the constraints from parts (a) and (b), limits the production of connecting rods for next week. (d) Write an objective function for minimizing the cost of production for next week. Min