A Fast-Food Restaurant Determines the Cost Model $C = 0.6 x + 5500,0 \leq x \leq 40000$

question 67

Multiple Choice

A fast-food restaurant determines the cost model, $C = 0.6 x + 5500,0 \leq x \leq 40000$ and revenue model, $R = \frac { 1 } { 30000 } \left( 55000 x - x ^ { 2 } \right)$ for $0 \leq x \leq 40000$ where x is the number of hamburgers sold. Determine the intervals on which the profit function is increasing and on which it is decreasing.

• A)The profit function is increasing on the interval \(( 18500,40000 )\) and decreasing on the interval \(( 0,18500 )\) .
• B)The profit function is increasing on the interval \(( 0,12500 )\) and decreasing on the interval \(( 12500,40000 )\) .
• C)The profit function is increasing on the interval \(( 0,18500 )\) and decreasing on the interval \(( 18500,40000 )\) .
• D)The profit function is increasing on the interval \(( 12500,40000 )\) and decreasing on the interval \(( 0,12500 )\) .
• E)The profit function is increasing on the interval \(( 0,5500 )\) and decreasing on the interval \(( 5500,40000 )\) .

---

Definitions:

dB

Decibel; a unit of measurement used to express the intensity of sound or the power level of an electrical signal by comparing it with a given level on a logarithmic scale.

Compression Of Air

The process of reducing the volume and increasing the pressure of air by mechanical means.

Rarefaction

A decrease in density and pressure in a medium, such as air or fluid, often related to sound waves.

Displacement

In psychology, it's a defense mechanism where an individual shifts emotional reactions from the original source of distress to a safer target.