Suppose a certain manufacturing cormpany produces connecting rods for 4-and 6-cyinder automoblle engines uting the same production line. The cost required to set iv the preduction line to connecting rod and 319 for each 6 -cyinder connecting rod. Hamkins makes a decision at the end of each week as to which prodact will be manufoctured the following aeek. If a production changeoveris necessary from ent week te the nest, the weekend is used to reconfigure the production line. Once the line fas been set ig, the weekly production captcities are 5,0on 6-cyinder carnecting reds and 9,0004c-cinder connecting rods. Let x4 = the eumber of d-cymender connecting rods produced nest week x6 - the number of 6-cylinder cevneding reds produced nest week x4=1 if the production tine is set wo to produce the A-cvilinder connecting rods; 0 if aherwise s6=1 it the production line is set up to preduce the 6-eytinder cennecting redx; 0 if sthervise a) Using the decision variables x4 and 54, write a constraint that limits next week's production of the 4 -cylinder connecting rods to either 0 or 9,000 units. Your answer cannot be understood or graded. More Information 14 (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 minimieing the cost of production for next week