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 $2200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3700. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 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 there is a production changeover 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 5800 6-cylinder connecting rods and 7700 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4= 1 if 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 otherwise Using the decision variables x4 and s4, write a constraint that limits next week's production of the 4-cylinder connecting rods to either 0 or 7700 units. fill in the blank 1 x4 fill in the blank 3 s4 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 5800 units. fill in the blank 4 x6 fill in the blank 6 s6 Write three constraints that, taken together, limit the production of connecting rods for next week. fill in the blank 7 x4 fill in the blank 9 s4 fill in the blank 10 x6 fill in the blank 12 s6 fill in the blank 13 s4 + fill in the blank 14 s6 fill in the blank 16 Write an objective function for minimizing the cost of production for next week. Min fill in the blank 17 x4 + fill in the blank 18 x6 + fill in the blank 19 s4 + fill in the blank 20 s6