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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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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