Exam 13: Linear Optimization

Which of the following best defines decision variables in an optimization model?

Use the following information to answer the question(s) below. Cerebro Manufacturing produces four types of structural support fittings-plugs, rails, rivets, and clips-which are machined on two CNC machining centers. The machining centers have a capacity of 250,000 minutes per year. The gross margin per unit and machining requirements are shown in the spreadsheet below. A B C D E F Cerebro 1 ManufacturingModel 2 3 Product Plugs Rails Rivets Clips Machine Capacity (mins./year) 4 Gross margin/unit \ 0.40 \ 1.20 \ 0.80 \ 1.10 5 Minutes/unit 1 2 3 1.5 250,000 6 Gross margin/minute 7 Maximum production 8 Profit -What is the maximum possible production of rails based on the machine capacity?

Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s), using the Standard Solver. Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models. A B C D 1 Stone Age Surfboards 2 3 Data 4 Product 5 Department Graystone Lava Limitation (hours) 6 Fabrication 2.5 4.2 74 7 Finishing 2 3.6 30 8 9 Profit/Unit \ 40.00 \ 60.00 10 11 12 Model 13 Graystone Lava 14 QuantityProduced Hours Used 15 Fabrication 16 Finishing 17 18 Excess Lava 19 Market Mixture 20 21 Total Profit 22 ProfitContribution -What is the total profit generated?

Use the following information to answer the question(s) below. Cerebro Manufacturing produces four types of structural support fittings-plugs, rails, rivets, and clips-which are machined on two CNC machining centers. The machining centers have a capacity of 250,000 minutes per year. The gross margin per unit and machining requirements are shown in the spreadsheet below. A B C D E F Cerebro 1 ManufacturingModel 2 3 Product Plugs Rails Rivets Clips Machine Capacity (mins./year) 4 Gross margin/unit \ 0.40 \ 1.20 \ 0.80 \ 1.10 5 Minutes/unit 1 2 3 1.5 250,000 6 Gross margin/minute 7 Maximum production 8 Profit -What is the total profit generated from the manufacture of rivets?

Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s), using the Standard Solver. Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models. A B C D 1 Stone Age Surfboards 2 3 Data 4 Product 5 Department Graystone Lava Limitation (hours) 6 Fabrication 2.5 4.2 74 7 Finishing 2 3.6 30 8 9 Profit/Unit \ 40.00 \ 60.00 10 11 12 Model 13 Graystone Lava 14 QuantityProduced Hours Used 15 Fabrication 16 Finishing 17 18 Excess Lava 19 Market Mixture 20 21 Total Profit 22 ProfitContribution -What is the value of slack obtained from the answer report?

What are the four possible outcomes that can be obtained by solving a linear optimization model?

Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s), using the Standard Solver. Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models. A B C D 1 Stone Age Surfboards 2 3 Data 4 Product 5 Department Graystone Lava Limitation (hours) 6 Fabrication 2.5 4.2 74 7 Finishing 2 3.6 30 8 9 Profit/Unit \ 40.00 \ 60.00 10 11 12 Model 13 Graystone Lava 14 QuantityProduced Hours Used 15 Fabrication 16 Finishing 17 18 Excess Lava 19 Market Mixture 20 21 Total Profit 22 ProfitContribution -What is the Allowable Increase in the finishing hours used?

What are the Excel functions to avoid in linear optimization?

Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s), using the Standard Solver. Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models. A B C D 1 Stone Age Surfboards 2 3 Data 4 Product 5 Department Graystone Lava Limitation (hours) 6 Fabrication 2.5 4.2 74 7 Finishing 2 3.6 30 8 9 Profit/Unit \ 40.00 \ 60.00 10 11 12 Model 13 Graystone Lava 14 QuantityProduced Hours Used 15 Fabrication 16 Finishing 17 18 Excess Lava 19 Market Mixture 20 21 Total Profit 22 ProfitContribution -What will be the total profit contribution from Graystone surfboards?

Use the following information to answer the question(s) below. Cerebro Manufacturing produces four types of structural support fittings-plugs, rails, rivets, and clips-which are machined on two CNC machining centers. The machining centers have a capacity of 250,000 minutes per year. The gross margin per unit and machining requirements are shown in the spreadsheet below. A B C D E F Cerebro 1 ManufacturingModel 2 3 Product Plugs Rails Rivets Clips Machine Capacity (mins./year) 4 Gross margin/unit \ 0.40 \ 1.20 \ 0.80 \ 1.10 5 Minutes/unit 1 2 3 1.5 250,000 6 Gross margin/minute 7 Maximum production 8 Profit -Alternate optimal solutions exist when the .