Mccoy Huang
01/25/2024 · Elementary School
b) Jimmy determines that the total-profit function for the lawn mowing business is given by \( P(x)=9 x-350 \). Find a function for the total revenue from mowing, \( R(x)= \)
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To find the total revenue function, we need to understand that total revenue is the total amount of money earned from selling a certain quantity of a product. In this case, the total revenue function is the total amount of money earned from mowing lawns.
Given that the total-profit function for the lawn mowing business is \( P(x) = 9x - 350 \), we can find the total revenue function by adding the total profit function to the fixed costs. The fixed costs are the costs that do not change with the quantity of lawns mowed.
Let's denote the fixed costs as \( C \). The total revenue function can be expressed as:
\[ R(x) = P(x) + C \]
Since the total profit function is \( P(x) = 9x - 350 \), we can substitute this into the total revenue function equation:
\[ R(x) = 9x - 350 + C \]
Therefore, the function for the total revenue from mowing lawns is \( R(x) = 9x - 350 + C \), where \( C \) represents the fixed costs.
Quick Answer
The total revenue function from mowing lawns is \( R(x) = 9x - 350 + C \), where \( C \) is the fixed cost.
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