A company manufactures two types of widgets: regular and deluxe. Each widget is produced at a station consisting of a machine and a person who finishes the widgets by hand. The regular widget requires 2 hr of machine time and 1 hr of finishing time. The deluxe widget requires 2 hr of machine time and 4 hr finishing time. The profit on the regular widget is P 40; on the deluxe widget it is P 80. If the workday is 8 hr, how many of each type of widget would be produced at each station per day in order to maximize the profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company manufactures two types of widgets: regular and deluxe. Each widget is
produced at a station consisting of a machine and a person who finishes the widgets by
hand. The regular widget requires 2 hr of machine time and 1 hr of finishing time. The
deluxe widget requires 2 hr of machine time and 4 hr finishing time. The profit on the
regular widget is P 40; on the deluxe widget it is P 80. If the workday is 8 hr, how many
of each type of widget would be produced at each station per day in order to maximize
the profit?
Transcribed Image Text:A company manufactures two types of widgets: regular and deluxe. Each widget is produced at a station consisting of a machine and a person who finishes the widgets by hand. The regular widget requires 2 hr of machine time and 1 hr of finishing time. The deluxe widget requires 2 hr of machine time and 4 hr finishing time. The profit on the regular widget is P 40; on the deluxe widget it is P 80. If the workday is 8 hr, how many of each type of widget would be produced at each station per day in order to maximize the profit?
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