The profit P(x) pesos from producing r thousands of goods is given by P(r) = 11r² + 1980r + k for some constant k. Using a linear approximation at r = 50 thousands, the profit in producing 50.1 thousands of goods is approximately 127, 308 pesos, that is, P(50.1) z 127, 308 . Find the value of k.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The profit P(x) pesos from producing x thousands of goods is given by P(x) = 11x² + 1980r + k for some
constant k. Using a linear approximation at r = 50 thousands, the profit in producing 50.1 thousands of
goods is approximately 127, 308 pesos, that is, P(50.1) z 127, 308 . Find the value of k.
Transcribed Image Text:The profit P(x) pesos from producing x thousands of goods is given by P(x) = 11x² + 1980r + k for some constant k. Using a linear approximation at r = 50 thousands, the profit in producing 50.1 thousands of goods is approximately 127, 308 pesos, that is, P(50.1) z 127, 308 . Find the value of k.
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