Profitability Analysis of Furniture Sales

The video tutorial compares two job offers from furniture stores, each with different base salaries and commission rates. It sets up equations to calculate annual pay based on sales and solves an inequality to determine the sales threshold needed for one job to be more lucrative than the other. The conclusion highlights the sales amount required to make the job at Rosa's Furniture more profitable than Shane's Furniture.

What is the base salary offered by Rosa's Furniture?

• $155,000

• $188,000

• $200,000

• $175,000

What commission rate does Shane's Furniture offer?

• 8%

• 6%

• 4%

• 10%

What variable is used to represent annual sales in the equations?

• C

• S

• P

• R

How is the commission rate for Rosa's Furniture expressed in decimal form?

• 0.04

• 0.10

• 0.06

• 0.08

What is the inequality set up to compare the incomes from the two job offers?

• P_subR <= P_subS

• P_subR > P_subS

• P_subR = P_subS

• P_subR < P_subS

What is the first step in solving the inequality?

• Divide both sides by 0.06

• Subtract 0.04s from both sides

• Add 0.04s to both sides

• Multiply both sides by 0.06

What is the result of dividing 3,000 by 0.06?

• 70,000

• 60,000

• 50,000

• 40,000

What is the sales threshold for Rosa's Furniture to be more profitable?

• $70,000

• $60,000

• $50,000

• $40,000

If you sell more than the threshold amount, which job is more profitable?

• Neither

• Both are equal

• Shane's Furniture

• Rosa's Furniture

What is the main conclusion of the video?

• Neither job is profitable

• Both jobs offer the same income

• Shane's Furniture always offers more income

• Rosa's Furniture is more profitable with higher sales