Consider a pizzeria that sell pizzas for a revenue of R(x) = ax and total cost of C'(x) = b + cx + dx², where a represents the number of pizzas sold. ▾ Part 1 Find the profit function for the pizzeria and find how many pizzas will give the largest profit. a. The profit function is P(x) = ax cx-b-dx² help (formulas) b. The number of pizzas that will give the largest profit is x = help (formulas)
Consider a pizzeria that sell pizzas for a revenue of R(x) = ax and total cost of C'(x) = b + cx + dx², where a represents the number of pizzas sold. ▾ Part 1 Find the profit function for the pizzeria and find how many pizzas will give the largest profit. a. The profit function is P(x) = ax cx-b-dx² help (formulas) b. The number of pizzas that will give the largest profit is x = help (formulas)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 1: Pizzeria Profit Analysis**
Consider a pizzeria that sells pizzas generating a revenue, \( R(x) = ax \), and incurring a total cost, \( C(x) = b + cx + dx^2 \), where \( x \) represents the number of pizzas sold.
### Part 1
Find the profit function for the pizzeria and determine how many pizzas will yield the largest profit.
a. The profit function is \( P(x) = \sqrt{ax - cx - b - dx^2} \). (help with formulas)
b. The number of pizzas that will give the largest profit is \( x = \) [input box]. (help with formulas)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7dcbfcd-ec40-4419-b8e9-2a693a942e70%2F536a569f-246d-4cfd-bead-2bf79266e6f5%2Fnbk9w9r_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 1: Pizzeria Profit Analysis**
Consider a pizzeria that sells pizzas generating a revenue, \( R(x) = ax \), and incurring a total cost, \( C(x) = b + cx + dx^2 \), where \( x \) represents the number of pizzas sold.
### Part 1
Find the profit function for the pizzeria and determine how many pizzas will yield the largest profit.
a. The profit function is \( P(x) = \sqrt{ax - cx - b - dx^2} \). (help with formulas)
b. The number of pizzas that will give the largest profit is \( x = \) [input box]. (help with formulas)
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