A manufacturer estimates that its variable cost for manufacturing a given product is given by the following expression: C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced a. Derive an expression for the marginal cost of production b. Derive expressions for the revenue and the profit when the widgets are sold at marginal cost.

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter12: The Cost Of Production
Section: Chapter Questions
Problem 4CQQ
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2.1
A manufacturer estimates that its variable cost for manufacturing a given product
is given by the following expression:
C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced
a. Derive an expression for the marginal cost of production
b. Derive expressions for the revenue and the profit when the widgets are sold
at marginal cost.
Transcribed Image Text:2.1 A manufacturer estimates that its variable cost for manufacturing a given product is given by the following expression: C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced a. Derive an expression for the marginal cost of production b. Derive expressions for the revenue and the profit when the widgets are sold at marginal cost.
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