3. Robertville Furniture Company (RFC) makes two types of dressers: the Classic and the Modern. RFC sells the Classic for $310 and the Modern for $350. At these prices RFC believes it can sell up to 20 Classic and 25 Modern dressers per week. Each type of dresser is made of oak and covered with a pecan veneer. The wood requirements for each dresser are given in the table. Oak costs $1.50 per board foot, and pecan veneer costs $2 per square foot. The dressers must go through two manufacturing departments: cutting and veneering. The machine hours required for each dresser are also given below. RFC has only 40 hours of production time available each week in each department, and it can obtain up to 2000 board feet of oak and 1500 square feet of pecan veneer each week. The cost of operating each manufacturing department is essentially fixed, so RFC would like to maximize its profit. Formulate RFC's problem as a linear program, defining your variables clearly. Oak/ Ресan/ Cutting Time Veneering Time Dresser Dresser (board ft) (sq/ft) (hr/dresser) (hr/dresser) Classic 90 50 1.20 1.00 Modern 100 60 0.90 1.20 Seatwork 1: Formulating an LP Model

3. Robertville Furniture Company (RFC) makes two types of dressers: the Classic and the Modern. RFC sells the Classic for $310 and the Modern for $350. At these prices RFC believes it can sell up to 20 Classic and 25 Modern dressers per week. Each type of dresser is made of oak and covered with a pecan veneer. The wood requirements for each dresser are given in the table. Oak costs $1.50 per board foot, and pecan veneer costs $2 per square foot. The dressers must go through two manufacturing departments: cutting and veneering. The machine hours required for each dresser are also given below. RFC has only 40 hours of production time available each week in each department, and it can obtain up to 2000 board feet of oak and 1500 square feet of pecan veneer each week. The cost of operating each manufacturing department is essentially fixed, so RFC would like to maximize its profit. Formulate RFC's problem as a linear program, defining your variables clearly. Oak/ Ресan/ Cutting Time Veneering Time Dresser Dresser (board ft) (sq/ft) (hr/dresser) (hr/dresser) Classic 90 50 1.20 1.00 Modern 100 60 0.90 1.20 Seatwork 1: Formulating an LP Model

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Description: 3. Robertville Furniture Company (RFC) makes two types of dressers: the Classic and the Modern.RFC sells the Classic for $310 and the Modern for $350. At these prices RFC believes it can sell up to20 Classic and 25 Modern dressers per week. Each typ

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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Question

3. Robertville Furniture Company (RFC) makes two types of dressers: the Classic and the Modern.
RFC sells the Classic for $310 and the Modern for $350. At these prices RFC believes it can sell up to
20 Classic and 25 Modern dressers per week. Each type of dresser is made of oak and covered with
a pecan veneer. The wood requirements for each dresser are given in the table. Oak costs $1.50 per
board foot, and pecan veneer costs $2 per square foot. The dressers must go through two
manufacturing departments: cutting and veneering. The machine hours required for each dresser
are also given below. RFC has only 40 hours of production time available each week in each
department, and it can obtain up to 2000 board feet of oak and 1500 square feet of pecan veneer
each week. The cost of operating each manufacturing department is essentially fixed, so RFC would
like to maximize its profit. Formulate RFC's problem as a linear program, defining your variables
clearly.
Oak/
Pecan/
Cutting
Time
Veneering
Dresser
Dresser
Time
(board ft) (sq/ft)
(hr/dresser) (hr/dresser)
Classic
90
50
1.20
1.00
Modern
100
60
0.90
1.20
Seatwork 1: Formulating an LP Model

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