Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To find Luisa's profit function, we need to follow the relationship given by [tex]\( p(x) = r(x) - c(x) \)[/tex], where [tex]\( r(x) \)[/tex] is the revenue function and [tex]\( c(x) \)[/tex] is the cost function.
1. Start by writing down the revenue function:
[tex]\[ r(x) = 20x \][/tex]
2. Write down the cost function:
[tex]\[ c(x) = 4x + 25 \][/tex]
3. To find the profit function [tex]\( p(x) \)[/tex], subtract the cost function from the revenue function:
[tex]\[ p(x) = r(x) - c(x) \][/tex]
4. Substitute the given functions for [tex]\( r(x) \)[/tex] and [tex]\( c(x) \)[/tex] into the equation:
[tex]\[ p(x) = 20x - (4x + 25) \][/tex]
5. Distribute the negative sign across the terms in the cost function:
[tex]\[ p(x) = 20x - 4x - 25 \][/tex]
6. Combine like terms:
[tex]\[ p(x) = (20x - 4x) - 25 \][/tex]
[tex]\[ p(x) = 16x - 25 \][/tex]
Therefore, the profit function [tex]\( p(x) = 16x - 25 \)[/tex], which corresponds to option D.
1. Start by writing down the revenue function:
[tex]\[ r(x) = 20x \][/tex]
2. Write down the cost function:
[tex]\[ c(x) = 4x + 25 \][/tex]
3. To find the profit function [tex]\( p(x) \)[/tex], subtract the cost function from the revenue function:
[tex]\[ p(x) = r(x) - c(x) \][/tex]
4. Substitute the given functions for [tex]\( r(x) \)[/tex] and [tex]\( c(x) \)[/tex] into the equation:
[tex]\[ p(x) = 20x - (4x + 25) \][/tex]
5. Distribute the negative sign across the terms in the cost function:
[tex]\[ p(x) = 20x - 4x - 25 \][/tex]
6. Combine like terms:
[tex]\[ p(x) = (20x - 4x) - 25 \][/tex]
[tex]\[ p(x) = 16x - 25 \][/tex]
Therefore, the profit function [tex]\( p(x) = 16x - 25 \)[/tex], which corresponds to option D.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.