Question

Mr. Whitehall is going through the financial records of his bakery. The monthly expenses, in dollars, for x months of operation is given by the function f(x) = 1,600x + 2,385.
The monthly revenue, in dollars, earned by the bakery is given by the function g(x) = 2,300x + 1,235.

The monthly profit earned by Mr. Whitehall's bakery can be represented by the function P.

Answer 1

Answer:

The profit function is p(x)=700x-1150.

Step-by-step explanation:

The monthly expenses, in dollars, for x months of operation is given by the function

$f(x)=1600x+2385$

The monthly revenue, in dollars, earned by the bakery is given by the function

$g(x)=2300x+1235$

The formula for profit:

$Profit=Revenue-Cost$

Subtract the revenue and cost function to find the profit function.

$p(x)=g(x)-f(x)$

$p(x)=2300x+1235-(1600x+2385)$

$p(x)=2300x+1235-1600x-2385$

On combining like terms we get

$p(x)=(2300x-1600x)+(1235-2385)$

$p(x)=700x-1150$

Therefore the profit function is p(x)=700x-1150.