The cost of producing a double filter respirator full face masks is c(x) = 15+ 10x a² (in dollars). (a) Using the definition of the derivative from lectures, compute the marginal cost when 4 masks have already been produced. (b) Compare this to the actual extra cost for producing a 5th mask. (c) Work out the equation for the tangent to the graph of c() at x = 4.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The cost of producing a double filter respirator full face masks is c(x) =
15+ 10x a² (in dollars).
(a) Using the definition of the derivative from lectures, compute the
marginal cost when 4 masks have already been produced.
(b) Compare this to the actual extra cost for producing a 5th mask.
(c) Work out the equation for the tangent to the graph of c() at
x = 4.
Transcribed Image Text:The cost of producing a double filter respirator full face masks is c(x) = 15+ 10x a² (in dollars). (a) Using the definition of the derivative from lectures, compute the marginal cost when 4 masks have already been produced. (b) Compare this to the actual extra cost for producing a 5th mask. (c) Work out the equation for the tangent to the graph of c() at x = 4.
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