1. Kucci Sdn. Bhd. uses leather and synthetics rubber to produce two types of purse, Twilight and Starlight. A Twilight purse requires 20cm of leather, 30cm of synthetics rubber and 1 hour and 45 minutes of labor. A Starlight purse requires 30cm of leather, 20cm of synthetics rubber and 2 hours of labor. Profit for each Twilight purse is RM75 and profit for each Starlight purse is RM90. Each week, Kucci has 11 meters of leather, 12 meters of synthetics rubber and 85 hours of labor. Market demand requires that the company produce Twilight purse twice of Starlight purse but at most 100 purses can be sold ecach week. a) Formulate a mathematical model to maximize Kucci's profit. b) Solve the mathematical model by using graphical method.
1. Kucci Sdn. Bhd. uses leather and synthetics rubber to produce two types of purse, Twilight and Starlight. A Twilight purse requires 20cm of leather, 30cm of synthetics rubber and 1 hour and 45 minutes of labor. A Starlight purse requires 30cm of leather, 20cm of synthetics rubber and 2 hours of labor. Profit for each Twilight purse is RM75 and profit for each Starlight purse is RM90. Each week, Kucci has 11 meters of leather, 12 meters of synthetics rubber and 85 hours of labor. Market demand requires that the company produce Twilight purse twice of Starlight purse but at most 100 purses can be sold ecach week. a) Formulate a mathematical model to maximize Kucci's profit. b) Solve the mathematical model by using graphical method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Kucci Sdn. Bhd. uses leather and synthetics rubber to produce two types of purse,
Twilight and Starlight. A Twilight purse requires 20cm of leather, 30cm of synthetics
rubber and 1 hour and 45 minutes of labor. A Starlight purse requires 30cm of
leather, 20cm of synthetics rubber and 2 hours of labor. Profit for each Twilight
purse is RM75 and profit for each Starlight purse is RM90. Each week, Kucci has 11
meters of leather, 12 meters of synthetics rubber and 85 hours of labor. Market
demand requires that the company produce Twilight purse twice of Starlight purse
but at most 100 purses can be sold each week.
a) Formulate a mathematical model to maximize Kucci's profit.
b) Solve the mathematical model by using graphical method.
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