10. A Company manufactures two products, rockers and boökshne Its. 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. 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
Transcribed Image Text:10. 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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