Question

GRAPHS AND FUNCTIONSambining functions to write a new function that models a real-

Answer 1

Solution:

Given that the production cost will include a one-time fixed cost for editing and additional cost for each book printed, where the total production cost is expressed as

$\begin{gathered} C=750+18.95N \\ where \\ N\text{ is number of books} \end{gathered}$

The total revenue is expressed as

$R=31.90N$

Given that P is the profit made, recall that

$Revenue\text{ = Cost + Profit}$

By substitution, we have

$\begin{gathered} 31.90N=(750+18.95N)+Profit \\ \Rightarrow Profit=31.90N-(750+18.95N) \\ open\text{ parentheses,} \\ Profit=31.90N-750-18.95N \\ collect\text{ like terms,} \\ Profit=(31.90-18.95)N-750 \\ \Rightarrow Profit=12.95N-750 \end{gathered}$

Hence, the equation relation P to N is expressed as

$P=12.95N-750$