The Viva Mirror & Deco Company has five employees which makes three different kinds of hand-crafted mirrors: a wood-framed, aluminum-framed and vinyl-framed mirror. They earn RM60 for each wood-framed mirror, RM40 for each aluminum- framed mirror and RM40 for each vinyl-framed mirror. Fadli makes the wood frames, and can make 8 per day. Alan makes the aluminum frames, and can make 6 per day. Selva makes vinyl frames and can make 7 per day. Firdaus can make wood frames and aluminum frames. If he is devoted to make wood frames, 5 per day can be made, if he is devoted to make aluminum frames, 10 per day can be made. Alex forms and cut the glass, and can make 8 m² of glass per day. Wood frame uses 0.8m² of glass. Each aluminum frame and vinyl frame uses I m² of glass. To meet the customer demand, Viva Mirror & Deco need to produce at least 5 mirrors (regardless of types) per day. As the consultant for Viva Mirror & Deco, you need to study this situation. As the consultant for Viva Mirror & Deco, you need to study this situation. (1) Formulate a mathematical model to maximize Viva Mirror & Deco's daily profit. (2) Solve the mathematical model.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Viva Mirror & Deco Company has five employees which makes three different
kinds of hand-crafted mirrors: a wood-framed, aluminum-framed and vinyl-framed
mirror. They earn RM60 for each wood-framed mirror, RM40 for each aluminum-
framed mirror and RM40 for each vinyl-framed mirror.
Fadli makes the wood frames, and can make 8 per day. Alan makes the aluminum
frames, and can make 6 per day. Selva makes vinyl frames and can make 7 per day.
Firdaus can make wood frames and aluminum frames. If he is devoted to make wood
frames, 5 per day can be made, if he is devoted to make aluminum frames, 10 per day
can be made. Alex forms and cut the glass, and can make 8 m² of glass per day. Wood
frame uses 0.8m² of glass. Each aluminum frame and vinyl frame uses 1 m² of glass.
To meet the customer demand, Viva Mirror & Deco need to produce at least 5 mirrors
(regardless of types) per day. As the consultant for Viva Mirror & Deco, you need to
study this situation. As the consultant for Viva Mirror & Deco, you need to study this
situation.
(1)
Formulate a mathematical model to maximize Viva Mirror & Deco's daily
profit.
(2)
Solve the mathematical model.
Transcribed Image Text:The Viva Mirror & Deco Company has five employees which makes three different kinds of hand-crafted mirrors: a wood-framed, aluminum-framed and vinyl-framed mirror. They earn RM60 for each wood-framed mirror, RM40 for each aluminum- framed mirror and RM40 for each vinyl-framed mirror. Fadli makes the wood frames, and can make 8 per day. Alan makes the aluminum frames, and can make 6 per day. Selva makes vinyl frames and can make 7 per day. Firdaus can make wood frames and aluminum frames. If he is devoted to make wood frames, 5 per day can be made, if he is devoted to make aluminum frames, 10 per day can be made. Alex forms and cut the glass, and can make 8 m² of glass per day. Wood frame uses 0.8m² of glass. Each aluminum frame and vinyl frame uses 1 m² of glass. To meet the customer demand, Viva Mirror & Deco need to produce at least 5 mirrors (regardless of types) per day. As the consultant for Viva Mirror & Deco, you need to study this situation. As the consultant for Viva Mirror & Deco, you need to study this situation. (1) Formulate a mathematical model to maximize Viva Mirror & Deco's daily profit. (2) Solve the mathematical model.
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