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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.

Respuesta :

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

[tex]f(x)=1600x+2385[/tex]

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

[tex]g(x)=2300x+1235[/tex]

The formula for profit:

[tex]Profit=Revenue-Cost[/tex]

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

[tex]p(x)=g(x)-f(x)[/tex]

[tex]p(x)=2300x+1235-(1600x+2385)[/tex]

[tex]p(x)=2300x+1235-1600x-2385[/tex]

On combining like terms we get

[tex]p(x)=(2300x-1600x)+(1235-2385)[/tex]

[tex]p(x)=700x-1150[/tex]

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

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