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.What is the objective function? 2. Express the first constraint (wood) in mathematical sentence 3. Express the second constraint (upholstery) in mathemathical sentence. 4. Express the third constraint (Labor) in mathemathical sentence

.What is the objective function? 2. Express the first constraint (wood) in mathematical sentence 3. Express the second constraint (upholstery) in mathemathical sentence. 4. Express the third constraint (Labor) in mathemathical sentence

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Let x = pieces of sofa, Y=pieces of table, Z=pieces of chair

1.What is the objective function?
2. Express the first constraint (wood) in mathematical sentence
3. Express the second constraint (upholstery) in mathemathical sentence.
4. Express the third constraint (Labor) in mathemathical sentence

14. The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture-wood, upholstery, and labor. The resource requirements for each piece of furniture and the total resources available weekly are as follows: Sofa Table Chair Total available resources Resource Requirements Upholstery (yd.) Wood (board ft.) 7 5 2,250 12 7 1,000 Labor (hr.) 9 240 The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. The warehouse has a total capacity of 650 pieces of furniture. Each sofa earns $400 in profit, each table, $275, and each chair, $190. The company wants to know how many pieces of each type of furniture to make per week to maximize profit.
Transcribed Image Text:14. The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture-wood, upholstery, and labor. The resource requirements for each piece of furniture and the total resources available weekly are as follows: Sofa Table Chair Total available resources Resource Requirements Upholstery (yd.) Wood (board ft.) 7 5 2,250 12 7 1,000 Labor (hr.) 9 240 The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. The warehouse has a total capacity of 650 pieces of furniture. Each sofa earns $400 in profit, each table, $275, and each chair, $190. The company wants to know how many pieces of each type of furniture to make per week to maximize profit.
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