Problem:
Montana Wood Products manufactures two high quality products, chairs and bookshelf units. The profit is $15 per chair and $21 per bookshelf unit. Next week's production will be constrained by two limited resources, labor and wood. The labor available next week is expected to be 920 labor hours, and the wood available is expected to be 2,400 board feet. Each chair requires 4 labor hours and 8 board feet of wood. Each bookshelf unit requires 3 labor hours and 12 board feet of wood. Management would like to produce at least 100 chairs but no more than 150 units of bookshelves.
Required:
i) Formulate as a linear programming problem. Solve the given numerical problem carefully and show all the steps.