A company is decreasing production of math-brain protein bars at a rate of 400 cases per day. All cases produced can be sold. The daily demand function is given by at a rate of p(x) = 30 - where x is the number of cases produced and sold, and p is in dollars. If the daily production is 300 cases, then revenue is O decreasing O increasing dollars per day. X 200

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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### Decreasing Production and Revenue of Math-Brain Protein Bars

A company is **decreasing** production of **math-brain protein bars** at a rate of **400 cases per day**. All cases produced can be sold. The daily demand function is represented by:

\[ p(x) = 30 - \frac{x}{200} \]

where \( x \) is the number of cases produced and sold, and \( p \) is in dollars.

#### Problem Statement
**If the daily production is 300 cases, then revenue is:**
- ☐ decreasing
- ☐ increasing

at a rate of \(\_\_\_\_\_\_\_\_\_\_ \) dollars per day.
Transcribed Image Text:### Decreasing Production and Revenue of Math-Brain Protein Bars A company is **decreasing** production of **math-brain protein bars** at a rate of **400 cases per day**. All cases produced can be sold. The daily demand function is represented by: \[ p(x) = 30 - \frac{x}{200} \] where \( x \) is the number of cases produced and sold, and \( p \) is in dollars. #### Problem Statement **If the daily production is 300 cases, then revenue is:** - ☐ decreasing - ☐ increasing at a rate of \(\_\_\_\_\_\_\_\_\_\_ \) dollars per day.
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