connecting rod and siz for each 6 -tylinder connecting rod. Hawkins makes a decislon at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekfy production capacites are 5 , ooo 6 -oyinder connecting rods and 9,0004 -cylinder consecting rods. Let x4= the number of 4 -cylinder connecting rods produted next week x4= the number of 6-cylinder concecting rods produced next aeek I4=1 if the production line is set up to produce the 4 - cylinder connecting redi: 0 if otharwise 56 . 1 at the production line is set up to peoduce the 6-cylinder connecting reds, 0 if othernise (a) Using the decision variables x4 and s4, write attonstraint that limits next week's production of the 4 -cylinder connecting reds to either Q or 9,000 units. Vout antwer caneot be ungerstosd or gaded. More information x (b) Using the decision variables x6 and x6 write a constraint that limsts neat week's production of the 6 -cylinder cectiecting reds to either 0 or 5.000 inits. X Your aniwer cannot be understood or graded. More information. (c) Wite a thes conitraint that, takan with the constraints from pats (o) and (b), limits the production sf ceenecting rede for nest week: Finter an equation (0) White an objective funatian for minimising the coit of production tor neat week. Min Suppose a certain manufacturing conngafy produces connecting rods for a and G-cylinder automoble engines using the same preduction line. The cost required to set ip the productien Ine produce the 4-cylnder connecting rods is $2,400, and the cost required to set up the productiin line for the 6-cylinder concecting rods is s3, soo. Manufacturing cosis are 112 fer each 4 cyf connecting rod and $17 for each 6 -cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the nest, the weekend is used to reconfigure the producticn line. Once the line has bren het up, the weekly production capacities are 5,000 6 -cylin connecting rods and 9,000 4-cylinder connecting rods. Let x4 = the number of 4 -cylinder connecting reds produced next week x6= the number of 6 -cylinder connecting rods produced next week S4=1 it 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 ctherwise (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 o or 9,000 unita. Your anewer cannet be undenstood or graded. More tnformation (b) Using the decition variables x6 and s s wite a constraint that limits next week's production of the 6 -oylinder connecting reds to either o or 5,000 urits. Yeur anewer cannok be underitood or graded. More information x (c) Write a third constraint thet, taken with the constraints from parts (a) and (b), limits the production of cennecting rods fer neit week
