Exam 13: Linear Optimization

Which of the following best defines decision variables in an 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. -What is the total profit generated?

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. -What will be the total profit contribution from Lava surfboards?

Alternate optimal solutions exist when the ________.

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. -What is the Allowable Decrease in the fabrication hours used?

Which of the following best defines objective functions?

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. -What is the gross margin per minute of plugs manufactured?

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. -If the unit profit on both Graystone and Lava surfboards is increased by $10, what is the Allowable Decrease for Lava 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. -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. -If the unit profit on Graystone surfboards is increased by $10, what is the total profit generated?

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. -If the unit profit on Graystone surfboards is increased by $10, what is the Allowable Increase for Lava surfboards?

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. -What will be the total profit contribution from Graystone surfboards?

Use the following information to answer the following question(s), using the SUMPRODUCT function. Stone Age Surfboards is a small manufacturer of two types of popular high-tide surfboards, the Rockwell and the Limestone models.The manufacturing process consists of two departments: fabrication and finishing.The fabrication department has 15 skilled workers, each of whom works 5 hours per day.The finishing department has 5 workers, who also work a 5-hour shift.Each pair of Rockwell surfboards requires 3 labor hours in the fabrication department and 1.5 labor hours in finishing.The Limestone model requires 4.5 labor-hours in fabrication and 2 labor-hours in finishing.The company operates 6 days a week.It makes a per-unit profit of $60 on the Rockwell model and $75 on the Limestone model.Approximately 4.1 Rockwell models and 8.4 Limestone models are produced per day. -What is the total number of hours used for the finishing operation?

What are the Excel functions to avoid in linear optimization?

A constraint function is a function of the decision variables in the problem.

If a model has alternative optimal solutions, ________.

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. -What is the shadow price for the finishing hours used?

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. -If the unit profit on Graystone surfboards is increased by $10, what is the Allowable Decrease for Lava surfboards?

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. -Due to decreasing profits, if the production of Graystone surfboards is stopped, compute the total profit the firm can earn.

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. -What is the value of slack obtained from the answer report?