2.99
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The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4√x + 2.

Weekly production at t weeks from the present is estimated to be x = 6200 + 100t cases.

(a) Find the marginal cost, dC/dx.

(b) Find the time rate of change of cost, dC/dt.

(c) How fast (with respect to time) are costs rising when t = 2?