Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is МС- 4x+ 25, that its marginal revenue is MR%3D 75 - 6х, and that the cost of production of 60 units is $8,880. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level.

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter21: Production And Costs
Section21.4: Costs Of Production: Total, Average, Marginal
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Cost, revenue, and profit are in dollars and
x is the number of units.
A firm knows that its marginal cost for a
product is
МС- 4x+ 25,
that its marginal revenue is
MR%3D 75 - 6х,
and that the cost of production of 60 units
is $8,880.
(a) Find the optimal level of production.
units
(b) Find the profit function.
P(x) =
(c) Find the profit or loss at the optimal
level.
Transcribed Image Text:Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is МС- 4x+ 25, that its marginal revenue is MR%3D 75 - 6х, and that the cost of production of 60 units is $8,880. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level.
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