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You work for a toy company, preparing for production of a new product called Lincoln Log- arithms. You are manufacturing the toys in-house, with each toy requiring $4 in material, in addition to a one-time fee of $25,000 to establish the assembly line. As your workers produce more toys, they become more efficient, making your labour costs L(q) 30000/q dollars, where q is the number of toys you produce. (a) Let T(q) be the total cost and A(q) be the average cost to produce q toys. Write down formulas for T and A. (b) Determine the limit lim A(q). x+b

You work for a toy company, preparing for production of a new product called Lincoln Log- arithms. You are manufacturing the toys in-house, with each toy requiring $4 in material, in addition to a one-time fee of $25,000 to establish the assembly line. As your workers produce more toys, they become more efficient, making your labour costs L(q) 30000/q dollars, where q is the number of toys you produce. (a) Let T(q) be the total cost and A(q) be the average cost to produce q toys. Write down formulas for T and A. (b) Determine the limit lim A(q). x+b

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You work for a toy company, preparing for production of a new product called Lincoln Log- arithms. You are manufacturing the toys in-house, with each toy requiring $4 in material, in addition to a one-time fee of $25,000 to establish the assembly line. As your workers produce more toys, they become more efficient, making your labour costs L(q) = 30000/q dollars, where q is the number of toys you produce. (a) Let T(q) be the total cost and A(q) be the average cost to produce q toys. Write down formulas for T and A. (b) Determine the limit lim A(q). q→∞
Transcribed Image Text:You work for a toy company, preparing for production of a new product called Lincoln Log- arithms. You are manufacturing the toys in-house, with each toy requiring $4 in material, in addition to a one-time fee of $25,000 to establish the assembly line. As your workers produce more toys, they become more efficient, making your labour costs L(q) = 30000/q dollars, where q is the number of toys you produce. (a) Let T(q) be the total cost and A(q) be the average cost to produce q toys. Write down formulas for T and A. (b) Determine the limit lim A(q). q→∞
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