A Company manufactures two products, rockers and bookshelf units. Its profit is $30 per rocker and $42 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 at MOST 930 hours, and the amount of wood available is expected to be at most 2400 board feet. Each rocker requires 4 labor hours and 8 board feet of wood.Each bookshelf requires 3 labor hours and 12 board feet of wood. The above information is summarized in the table below. Using the graphical linear programming technique, and the table provided below, find the number of rockers and bookshelves that the company can produce next week, to MAXIMIZE its Profit; and find its Profit at Maximum. Table for Question #10 Product/LImits Rockers Bookshelves Available Labor Hours 4hrs/unit 3hrs/unit 930hrs Wood Needed 8bft/unit 12bft/unit 2400 b/ft Profit per unit $30 $42
A Company manufactures two products, rockers and bookshelf units. Its profit is $30 per rocker and $42 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 at MOST 930 hours, and the amount of wood available is expected to be at most 2400 board feet. Each rocker requires 4 labor hours and 8 board feet of wood.Each bookshelf requires 3 labor hours and 12 board feet of wood.
The above information is summarized in the table below.
Using the graphical linear programming technique, and the table provided below, find the number of rockers and bookshelves that the company can produce next week, to MAXIMIZE its Profit; and find its Profit at Maximum.
Table for Question #10
Product/LImits Rockers Bookshelves Available
Labor Hours 4hrs/unit 3hrs/unit 930hrs
Wood Needed 8bft/unit 12bft/unit 2400 b/ft
Profit per unit $30 $42
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