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Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.001x^3+0.07x^2+16x+600, and currently 90...

Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.001x^3+0.07x^2+16x+600, and currently 90 chairs are produced monthly.

​a)
What is the current monthly​ cost?
​b)
What is the marginal cost when x= 90​?
​c)
Use the result from part​ (b) to estimate the monthly cost of increasing production to 92 chairs per month.
​d)
What would be the actual additional monthly cost of increasing production to 92 chairs​ monthly?

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