Perform the Indicated Operations $$\begin{array} { l } M = - 23 x ^ { 3 } + 1170 x ^ { 2 } - 13,808 x + 72,566 \\W = 8 x ^ { 3 } - 56 x ^ { 2 } + 511 x + 14,763\end{array}$$

question 21

Multiple Choice

Perform the indicated operations.
-The bar graph shows the median annual income for residents of a selected region of the United States, by level of education. The given polynomial models describe the median annual income for men, M, and for women, W, who have
Completed x years of education. $$\begin{array} { l } M = - 23 x ^ { 3 } + 1170 x ^ { 2 } - 13,808 x + 72,566 \\W = 8 x ^ { 3 } - 56 x ^ { 2 } + 511 x + 14,763\end{array}$$ Find a mathematical model for M - W and use it to calculate the difference in the median annual income between
Men and women with 8 years of education. Does the model underestimate or overestimate the actual
Difference?

• A) $4533; underestimates
• B) $1325; underestimates
• C) $14,019; overestimates
• D) $5843; overestimates

---

Definitions:

Direct Fixed Manufacturing Costs

Fixed costs directly associated with the manufacturing process, such as salaries of production supervisors.

Discontinue

The process of ending the production and sale of a product or service, often due to strategic reevaluation or lack of success.

Purchasing Per Unit

The cost associated with buying an individual unit of product or material.

Relevant Costs

Costs that should be considered when making business decisions because they are future costs that differ between alternatives.