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3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Plastic Time Space Manufacture Purchase 40 8 16 24 8 BUTT 4 100000 320000 60000 Seat/Frame Rear wheel (each) Available Requirement 12 .20 Model Regular 3 Deluxe Heavy Page 4 of 9 Cost to 16 12 3 Cost to 2 24 18 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. 6 UNIVERS Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine Machine 1 Profit Margin $20 40 70 The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.

3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Plastic Time Space Manufacture Purchase 40 8 16 24 8 BUTT 4 100000 320000 60000 Seat/Frame Rear wheel (each) Available Requirement 12 .20 Model Regular 3 Deluxe Heavy Page 4 of 9 Cost to 16 12 3 Cost to 2 24 18 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. 6 UNIVERS Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine Machine 1 Profit Margin $20 40 70 The company has 56 hours available for machine 1, 80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.

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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3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Seat/Frame Rear wheel (each) Available Requirement Plastic 12 16 .20 S Model Regular Deluxe Heavy 100000 Time 40 24 8 2 2 320000 60000 Page 4 of 9 Space Manufacture 8 16 8 4 Cost to 12 2 3 4 5 Cost to Purchase 24 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 18 6 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine 1 Machine 3 3 2 4 UNIVERSI Profit Margin $20 40 70 The company has 56 hours available for machine 1,80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.
Transcribed Image Text:3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Component Front Seat/Frame Rear wheel (each) Available Requirement Plastic 12 16 .20 S Model Regular Deluxe Heavy 100000 Time 40 24 8 2 2 320000 60000 Page 4 of 9 Space Manufacture 8 16 8 4 Cost to 12 2 3 4 5 Cost to Purchase 24 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Requested: Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost. 18 6 4) A paint supply company makes three styles of Paint Rollers, regular, deluxe and heavy. All of the types of brushes must pass through 3 machines. The different types of brushes have the following contributions to profit per case and require the following times (in hours) at each machine per case: Machine Machine 1 Machine 3 3 2 4 UNIVERSI Profit Margin $20 40 70 The company has 56 hours available for machine 1,80 hours for machine 2 and 120 hours for machine 3. Requested: Assuming that the company is interested in maximizing the total profit contribution, write the linear programming model for this problem.
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