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Your Lego furniture company makes Tables and Chairs. Below, you are given the starting inventory, selling price, and Bill of Materials (recipe, or construction requirements). You are to determine the number of Tables and Chairs to be built to maximize revenue. You must make 5 or more chairs for every table. Your answer will be the number of small pieces of wood by your production plan. (The number of tables and chairs must be a whole number.) Use Scenario 1

Your Lego furniture company makes Tables and Chairs. Below, you are given the starting inventory, selling price, and Bill of Materials (recipe, or construction requirements). You are to determine the number of Tables and Chairs to be built to maximize revenue. You must make 5 or more chairs for every table. Your answer will be the number of small pieces of wood by your production plan. (The number of tables and chairs must be a whole number.) Use Scenario 1

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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2 Olympiakos 2016/1.. Adidas "Anthem" O... Club America FC y.. |E >> Your Lego furniture company makes Tables and Chairs. Below, you are given the starting inventory, selling price, and Bill of Materials (recipe, or construction requirements). You are to determine the number of Tables and Chairs to be built to maximize revenue. You must make 5 or more chairs for every table. Your answer will be the number of small pieces of wood by your production plan. (The number of tables and chairs must be a whole number.) Use Scenario 1 Scenario 1 Scenario 2 Scenario 3 Scenario 4 Scenario 5 Large wood per Table 6 4 8 Small wood per Table 6 2 4 4 Large wood per Chair 2 2 1 Small wood per Chair 4 4 15 4 6. Revenue per Table $35 $42 $88 $75 $95 Revenue per Chair $29 $29 $45 $33 $49 Large wood inventory 300 400 880 665 900 Small wood inventory 500 500 775 1,400 1,000
Transcribed Image Text:2 Olympiakos 2016/1.. Adidas "Anthem" O... Club America FC y.. |E >> Your Lego furniture company makes Tables and Chairs. Below, you are given the starting inventory, selling price, and Bill of Materials (recipe, or construction requirements). You are to determine the number of Tables and Chairs to be built to maximize revenue. You must make 5 or more chairs for every table. Your answer will be the number of small pieces of wood by your production plan. (The number of tables and chairs must be a whole number.) Use Scenario 1 Scenario 1 Scenario 2 Scenario 3 Scenario 4 Scenario 5 Large wood per Table 6 4 8 Small wood per Table 6 2 4 4 Large wood per Chair 2 2 1 Small wood per Chair 4 4 15 4 6. Revenue per Table $35 $42 $88 $75 $95 Revenue per Chair $29 $29 $45 $33 $49 Large wood inventory 300 400 880 665 900 Small wood inventory 500 500 775 1,400 1,000
Expert Solution
Step 1

Decision Variables -

x1 - Number of tables

x2 - Number of chair

 

Objective function -

Max. Z = 35x1 + 29x2

 

Subject to constraint -

Large wood: 6x1 + 2x2 ≤300

Small wood: 6x1+4x2 ≤ 500

Non-negativity constraints : x1,x2 ≥0

 

 

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