Sierra Wood Products manufactures two products, rocking chairs, and bookshelf units. Its profit is $$30$ per rocking chair and $$42$ per bookshelf unit. Next week's production will be constrained by two limited resources, labor, and wood. The labor available is expected to be at most $930$ hours, and the amount of wood available is expected to be at most $2400$ board feet. Each rocking chair requires $4$ hours of labor and $8$ board feet of wood. Each bookshelf requires $3$ hours of labor and $12$ board feet of wood. Determine how many rocking chairs and bookshelf units should be produced next week to maximize Sierra's profit. Find the maximum profit. Determine all the corner points.