Problem 7-09 (Algorithmic) 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 $1,800, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,700. Manufacturing costs are $11 for each 4-cylinder connecting rod and $18 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 6,200 6-cylinder connecting rods and 7,100 4-cylinder connecting rods. Let x4-the number of 4-cylinder connecting rods produced next week x-the number of 6-cylinder connecting rods produced next week 54-1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise s-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 5, write a consaint that limits next week's production of the 4-cylinder connecting rods to either 0 or 7,100 units. If the constant is "1" it must be entered in the box. If your answer is zero enter "0" X4 54 b. Using the decision variables xs and se, write a constraint that limits next week's production of the 6-cylinder connecting rods to either 0 or 6,200 units. If the constant is "1" it must be entered in the box. If your answer is zero enter "0" 36 56