7. The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4Vx + 2. Weekly production at t weeks from the present is estimated to be x = 6200 + 100t cases. a.) Find the marginal cost, dx' woltJost 0002o 6 36 19 do otenl to gldenonel dc b.) Find the time rate of change of cost, dt' 0 xlo d enalae orlt neriwemir arls26 poned an e oevado amo onarzib ond astwoH (O narlw am c.) How fast (with respect to time) are costs rising whent = 2?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
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7. The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4Vx + 2. Weekly production
at t weeks from the present is estimated to be x = 6200 + 100t cases.
dc
a.) Find the marginal cost,
dx'
dC
b.) Find the time rate of change of cost,
omb sd
c.) How fast (with respect to time) are costs rising whent 2?
Transcribed Image Text:7. The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4Vx + 2. Weekly production at t weeks from the present is estimated to be x = 6200 + 100t cases. dc a.) Find the marginal cost, dx' dC b.) Find the time rate of change of cost, omb sd c.) How fast (with respect to time) are costs rising whent 2?
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We will find the marginal cost, rate of change of cost and rise in cost with respect to time.
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