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The Cost of Manufacturing X Units Is C Dollars, Where x\sqrt { x }

Question 59

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The cost of manufacturing x units is C dollars, where C = 4x + 6 x\sqrt { x } + 5. Weekly production at t weeks from the present is estimated to be x = 2800 + 100t units when t = 8. Find the time rate of change of cost, dCdt\frac { \mathrm { dC } } { \mathrm { dt } } . Enter just an integer.

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