A surfboard manufacturer makes small and large surfboards. The production process has three stages: assembly, finish, and inspection. Each small surfboard requires 3 hours to assemble, 2 hours to finish, and 1 hour for inspection. Each large surfboard requires 4 hours to assemble, 3 hours to finish, and 1.5 hours for inspection. There are 140 hours available for assembly, 100 hours to finish, and 50 hours for inspection. The large surfboard makes $150 profit per board. The small surfboard makes $100 profit per board.

Linear programming will be used to create the weekly production schedule.

What would the objective function be for this problem if S = number of small surfboards produced and L = number of large surfboards produced?

its a study problem that I would like to see worked out so I can apply it to other questions .