Q#1 The wood product manufacturer uses idle time at the end of each week to make goods for stock. Currently, two products are produced for stock: A Chopping and knife holder. Both items require three operations: cutting, gluing, and finishing. The manager has collected the following data on these products. Time per unit (minutes) Gluing Profit/unit $2 $6 Item Cutting Finishing Chopping board Knife Holder 1.4 5 12 0.8 13 3 The manager has also determined that 56 minutes are available for cutting. 650 minutes for gluing and 360 minutes for finishing. Formulate the problem as an LP model.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q#1
The wood product manufacturer uses idle time at the end of each week to make goods for stock.
Currently, two products are produced for stock: A Chopping and knife holder. Both items require three
operations: cutting, gluing, and finishing. The manager has collected the following data on these products.
Time per unit (minutes)
Gluing
Profit/unit
$2
$6
Item
Cutting
Finishing
Chopping board
Knife Holder
1.4
12
0.8
13
The manager has also determined that 56 minutes are available for cutting. 650 minutes for gluing and
360 minutes for finishing. Formulate the problem as an LP model.
Transcribed Image Text:Q#1 The wood product manufacturer uses idle time at the end of each week to make goods for stock. Currently, two products are produced for stock: A Chopping and knife holder. Both items require three operations: cutting, gluing, and finishing. The manager has collected the following data on these products. Time per unit (minutes) Gluing Profit/unit $2 $6 Item Cutting Finishing Chopping board Knife Holder 1.4 12 0.8 13 The manager has also determined that 56 minutes are available for cutting. 650 minutes for gluing and 360 minutes for finishing. Formulate the problem as an LP model.
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