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
Question
**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)
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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