A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by Upper C equals 0.3 x squared plus 7,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 60 ?units?
Answer: dC/dX = .6X
dC = .6X dX
= 0.6 * 60 * 14
= 504
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