1. Chains Inc. is in the business of making and selling chains. Let c(t)be the number of miles of chain produced after t hours of production. Let p(c) be the profit as a function of the number of miles of chain produced and let q(t) be the profit as a function of the number of hours of production. Suppose the company can produce 3 miles of chain per hour and suppose their profit on the chains is $4000 per mile of chain. Find and interpret (use complete sentences) each of the following (include units), d (t) p'(c) and q (t). How does d (t) relates to p'(c)and d'(t)?

1. Chains Inc. is in the business of making and selling chains. Let c(t)be the number of miles of chain produced after t hours of production. Let p(c) be the profit as a function of the number of miles of chain produced and let q(t) be the profit as a function of the number of hours of production. Suppose the company can produce 3 miles of chain per hour and suppose their profit on the chains is $4000 per mile of chain. Find and interpret (use complete sentences) each of the following (include units), d (t) p'(c) and q (t). How does d (t) relates to p'(c)and d'(t)?

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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1. Chains Inc. is in the business of making and selling chains. Let c(t)be the number of miles of chain produced after t
hours of production. Let p(c) be the profit as a function of the number of miles of chain produced and let q(t) be the
profit as a function of the number of hours of production. Suppose the company can produce 3 miles of chain per
hour and suppose their profit on the chains is $4000 per mile of chain. Find and interpret (use complete sentences)
each of the following (include units), d (t), p'(c), and d (t). How does d (t) relates to p'(c)and d(t)?

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