how did we arrive at MC(Q) = 30 + 50Q + 15Q²?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 4E
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In step 8, how did we arrive at MC(Q) = 30 + 50Q + 15Q²?

Expert Solution
Step 1

Marginal cost is the cost of producing an additional unit of good. 

Marginal cost is calculated as derivative of Total cost with respect to quantity. 

MC = ∆TC/∆Q 

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