Question

1. the deal mart sells replacement cell phone chargers. their earned income from selling n number of chargers is (i(n)=34.78n). the company also has costs associated with producing and distributing the phone chargers according to the function (c(n)=24160 + 3.25n). write a function, (p(n)), to represent the profit the company makes if profit = income - cost.

Explanation:

Step1: Recall profit formula

Profit $P(n)=I(n)-C(n)$

Step2: Substitute given functions

$P(n)=34.78n-(24160 + 3.25n)$

Step3: Simplify the expression

$P(n)=34.78n-24160 - 3.25n$
$P(n)=(34.78n- 3.25n)-24160$
$P(n)=31.53n-24160$

Answer:

$P(n)=31.53n - 24160$