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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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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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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