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c. To find the number of bags of gourmet popcorn that the company must sell in order to achieve a marginal profit of $0.56 per unit, we need to set the derivative of the profit function equal to $0.56 and solve for n: 80 e 0.1n8n e-0.1n = 0.56 Solving this equation will give us the value of n that satisfies the condition. If there is no solution, it means that the profit function never achieves this marginal profit.

c. To find the number of bags of gourmet popcorn that the company must sell in order to achieve a marginal profit of $0.56 per unit, we need to set the derivative of the profit function equal to $0.56 and solve for n: 80 e 0.1n8n e-0.1n = 0.56 Solving this equation will give us the value of n that satisfies the condition. If there is no solution, it means that the profit function never achieves this marginal profit.

Calculus: Early Transcendentals
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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c. To find the number of bags of gourmet popcorn that the company must sell in order to achieve a marginal profit of $0.56 per unit, we need to set the derivative of the profit function equal to $0.56 and solve for n: 80 e 0.1n8n e-0.1n = 0.56 Solving this equation will give us the value of n that satisfies the condition. If there is no solution, it means that the profit function never achieves this marginal profit.
Transcribed Image Text:c. To find the number of bags of gourmet popcorn that the company must sell in order to achieve a marginal profit of $0.56 per unit, we need to set the derivative of the profit function equal to $0.56 and solve for n: 80 e 0.1n8n e-0.1n = 0.56 Solving this equation will give us the value of n that satisfies the condition. If there is no solution, it means that the profit function never achieves this marginal profit.
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