Formulate. Do not solve.

Formulate, do not solve.

8. Hawkins Manufacturing Company produces connecting rods for -- and 6-cylinder avtomobile engines using the same production ine. The cost required to set up the production line to produce the 4-cyinder connecting rods in $2000, and the cost required to set up the production line for the cylinder connecting rods is $9500 Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkine makes a decision at the end of each week as to which product will be manufactured the following wook. It a production changeover is necessary from one wook to the next, the weekend is used to reconfigure the production in Once the line has been set up, the weekly production capacities are 6000 6-cylinder connecting rods and 8000 4-cylinder connecting rods. Lot 1.- the number of 4-cylinder connecting rods produced next work the number of 6-cylinder connecting rode produced next week RE=1 if the production line is set up to produce the 4-cylinder connecting roda 0 if otherwise *6 = 1 if the production line is set up to produce the 6-cylinder connecting rods O if otherwise Using the decision variables, and write a constraint that limits next week's production of the 4-cylinder connecting rods to other or 8000 units. . Using the decision variables, and write a constraint that limits next week's production of the 6-cylinder connecting rods to either or 8000 units. c. Write three constraints that taken together, limit the production of connecting rods for next wook. Write an objective function for minimizing the cost of production for next week 9. Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using tho samo production line. The cost required to set up the production line to produce the 4-cyinder connecting rods is $2000, and the cost required to set up the production Ine for the 6-cylinder connecting rods is $3500 Manufacturing costs are $15 for each 4-cylinder connecting rod and 518 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each work as to which product will be manufactured the following work. If a production changeover is noonsary from one wook to the next, the weekend is used to reconfigure the production in Once the line has poen set up, the weekly production capacities are 6000 6-cyinder connecting rods and 8000 4-cylinder connecting rodi. Let 24- the number of 4-cylinder connecting rods produced next week 2: the number of 6-cylinder connecting rods produced next week 4-1 if the production line is set up to produce the 4-cylinder conecting today of otherwise *-1 if the production line is set up to produce the 6-cylinder connecting rods of otherwise a Using the decision variables and write a constraint that its next week's production of the 4-cylinder connecting rods to other or 8000 units . Using the decision variables 7e and se write a constraint that timits next week's production of the 6-cylinder connecting rods to ether or 6000 units Write three constraints that taken together, limit the production of connecting rods for next wook d. Write an objective function for minimizing the cost of production for next week Ingether with the