Solve the Problem $p$ Of a Certain Product and the Quantity Sold

question 173

Essay

Solve the problem.
-The price $p$ of a certain product and the quantity sold $x$ obey the demand equation $p = - \frac { 2 } { 3 } x + 200,0 \leq x \leq 300$ .
Suppose that the cost $C$ of producing $x$ units is $C = \frac { \sqrt { x } } { 20 } + 800$ . Assuming that all items produced are sold, find the cost $C$ as a function of the price $p$ .

---

Definitions:

Combination Circuit

An electrical circuit consisting of both series and parallel connections of components, requiring complex analysis to determine overall behaviour.

Current Path(s)

The route that electrical current flows through in a circuit, which may include components like resistors, capacitors, and inductors.

Total Resistance

The overall opposition to electric current flow in a series circuit, calculated by summing the resistance values of all components.

Series Circuits

Electrical circuits in which components are connected end-to-end, so that there is only one path for current flow.