Hawkins Manufacturing Company produces connecting rods for 4 and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,200, and the cost required to set up the production line for the 6-cylinder conting rods is $3,300. Manufacturing costs are $14 for each 4-cylinder connecting rod and $20 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 next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,800 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X = the number of 4-cylinder connecting rods produced next week *6 = the number of 6-cylinder connecting rods produced next week 84-1 if the production line is set up to produce the 4-cylinder connecting rods: O if otherwise 55 - 1 if the production line is set up to produce the 6-cylinder connecting rods, of otherwise a. Using the decision variables xa and se write a constraint that limits next week's production of the 4-cylinder connecting rods to either 0 or 8,200 units. If the constant is "1" it must be entered in the box. If your answer is zero enter "o" b. Using the decision variables xo and so write a constraint that imits next week's production of the 6-cylinder connecting rods to either oor 5,800 units. If the constant Is "1" it must be entered in the box. If your answer is zero enter *** 36 c. Write three constraints that taken together, limit the production of connecting rods for next week. If the constant is "1" it must be entered in the box. If your answer is zero enter" 54 56 54 36 d write an objective function for minimizing the cost of production for next week Min 6+ 54 + 56 Check My Work more Check My Works remaining Prayin Newt