Convex Cost Functions and Increasing Marginal Cost
A firm's cost function, C(Q), is described as convex when its second derivative concerning quantity is positive, expressed as . This mathematical condition implies that the marginal cost (MC), which corresponds to the first derivative of the cost function, rises as output quantity increases. Consequently, the marginal cost curve for a firm with a convex cost function will be upward-sloping.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.8 Supply and demand: Markets with many buyers and sellers - The Economy 2.0 Microeconomics @ CORE Econ
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