Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is


Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is


Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is

=> 

=> 

The minimum cost of production for next week is

=> 
Step-by-step explanation:
The cost for the four cylinder production line is 
The cost for the six cylinder production line is 
The manufacturing cost for each four cylinder is 
The manufacturing cost for each six cylinder is 
The weekly production capacity for 4 cylinder connecting rod is 
The weekly production capacity for 6 cylinder connecting rod is 
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is


Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is


Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is

=> 

=> 

The minimum cost of production for next week is

=> 