John owns a hot dog stand he has found that his profit is represented by the equation P equals X2+76x+80. With P being the profit in dollars and X the number of hot dogs sold. how many hot

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## John Owns a Hot Dog Stand

### Question

John owns a hot dog stand and has found that his profit is represented by the equation \( P = X^2 + 76x + 80 \). With \( P \) being the profit in dollars and \( X \) the number of hot dogs sold, how many hot dogs must he sell to earn the most profit, and what is the maximum profit?

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In this problem, the goal is to determine at which point John’s profit will be maximized, given by a quadratic equation. The maximum profit corresponds to the vertex of the parabola defined by the equation \( P = X^2 + 76x + 80 \).
Transcribed Image Text:## John Owns a Hot Dog Stand ### Question John owns a hot dog stand and has found that his profit is represented by the equation \( P = X^2 + 76x + 80 \). With \( P \) being the profit in dollars and \( X \) the number of hot dogs sold, how many hot dogs must he sell to earn the most profit, and what is the maximum profit? ### Expert Solution This question hasn’t been answered yet. --- In this problem, the goal is to determine at which point John’s profit will be maximized, given by a quadratic equation. The maximum profit corresponds to the vertex of the parabola defined by the equation \( P = X^2 + 76x + 80 \).
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