In the Long Run
The polynomial function p(x) models the profits of the sneaker company, Run Fast, during the first ten years of a new CEO's employment.
1. Label the point(s) or portion of the graph that represents each of the memorable events in the company's history. Use the letter of the event as your label.
a. The board of directors discuss finding a new CEO.
b. The new CEO takes over the company.
c. A new sneaker design has the running world abuzz with excitement.
d. The company breaks even.
e. The company hires a hundred new employees.
f. The short-term goal for the new sneaker sales is reached.
9. The company tails to come up wah a new sneaker design that consumers like.
2. After ten years, would you consider Runfast a successful business? Explain your reasoning.
Your work should include:
- Labeis on points or portions of the graph (3 points)
- Intervals when the company recorded a profit and intervals when the company recorded a loss with an explanation of how the intervals wore determined (3 points)
- Approximations of intervals of increase and decrease in profit with a corresponding rate of change for each interval (3 points)
- Identification and interpretation of extrema in the context of the problem (3 points)
- Evaluation of the company's success with supportive reasoning (2 points)