Once the line has been set up$,$ the weekly production capacities are $5,0006-$cylinder connecting rods and $9,0004-$cylinder connecting rods. Let

$x_4=$ the number of $4-$cylinder connecting rods produced next week

$x_6=$ the number of $6-$cylinder connecting rods produced next week

$s_4=1$ if the production line is set up to produce the $4-$cylinder connecting rods; $0$ if otherwise

$s_6=1$ if the production line is set up to produce the $6-$cylinder connecting rods; $0$ if otherwise

Check which variable$($s$)$ should be in your answer.

$($c$)$ Write a third constraint that, taken with the constraints from parts $($a$)$ and $($b$),$ limits the production of connecting rods for next week.

Capitalization of variable$($s$)$ is important. Check that your upper and lower case match the question.

$($d$)$ Write an objective function for minimizing the cost of production for next week.

Min