t Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.005x3+0.07x2+15x+600​, and currently 35 chairs are produced monthly.   ​a) What is the current monthly​ cost? ​b) What is the marginal cost when x=35​? ​c) Use the result from part​ (b) to estimate the monthly cost of increasing production to 37 chairs per month. ​d) What would be the actual additional monthly cost of increasing production to 37

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A:

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