Find a Mathematical Model Representing the Statement $( F = 24750 \text { when } r = 18 \text { and } s = 5 . )$

question 8

Multiple Choice

Find a mathematical model representing the statement.(Determine the constant of proportionality. ) ​
F is jointly proportional to r and the third power of s. $( F = 24750 \text { when } r = 18 \text { and } s = 5 . )$ ​

• A) \(F = \frac { 11 r } { s ^ { 3 } }\)
• B) \(F = \frac { r s ^ { 3 } } { 11 }\)
• C) \(F = 11 r s ^ { 3 }\)
• D) \(F = \frac { 11 } { r s ^ { 3 } }\)
• E) \(F = \frac { 11 s ^ { 3 } } { r }\)

---

Definitions:

Competitive Firm

A company that operates in a market where it must compete with other firms for customers.

Marginal Revenue

The additional revenue that a company receives from selling one more unit of a product or service.

Profit Maximization

The process or strategy aimed at achieving the highest possible profit for a firm, often by optimizing production and pricing decisions.

Marginal Cost

The rise in expenses incurred by the production of an extra unit of a product or service.