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:

Missed Opportunities

Situations or instances when a potential benefit, advancement, or progress was not realized or taken advantage of.

Social Relationships

Connections between individuals in a society, structured by social norms, institutions, and cultural patterns.

Research on Regret

Research on regret focuses on studying the cognitive and emotional aspects of regret, including how individuals perceive and respond to their actions or inactions that lead to undesired outcomes.

Proximity

The physical or psychological closeness or nearness between people, objects, or concepts.