If the profit function for a product is P(xY = 180x+125x²-x²-208, 000 dollars, produce selling how many items, x, wil 1. a maximum profit? X= items Find the maximum protit.
If the profit function for a product is P(xY = 180x+125x²-x²-208, 000 dollars, produce selling how many items, x, wil 1. a maximum profit? X= items Find the maximum protit.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Problem Statement:**
Determine the number of items to sell in order to achieve maximum profit for a product given the profit function.
**Profit Function:**
\[ P(x) = 1800x + 125x^2 - x^3 - 208,000 \quad \text{dollars} \]
**Question:**
Selling how many items \( x \) will produce a maximum profit?
**Solution:**
Find the value of \( x \) that maximizes the profit.
**Calculation:**
1. Solve for \( x \).
2. Calculate the maximum profit.
**X:** [Blank space for student to calculate number of items]
**Find the maximum profit:** [Blank space for student to input answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a799525-bc02-4aa7-a724-19d6c1834605%2F4e8b5815-47e0-4ebd-aac3-30b05b71f6ad%2Fyu12lc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine the number of items to sell in order to achieve maximum profit for a product given the profit function.
**Profit Function:**
\[ P(x) = 1800x + 125x^2 - x^3 - 208,000 \quad \text{dollars} \]
**Question:**
Selling how many items \( x \) will produce a maximum profit?
**Solution:**
Find the value of \( x \) that maximizes the profit.
**Calculation:**
1. Solve for \( x \).
2. Calculate the maximum profit.
**X:** [Blank space for student to calculate number of items]
**Find the maximum profit:** [Blank space for student to input answer]
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