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Why is MC=MR at the profit maximizing level of output?

MC = marginal (extra) cost incurred by a firm when its production raises by one unit.

MR = marginal (extra) revenue a firm rece...

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Difference between horizontal and vertical translations of graphs

f(x), k>0
a. vertical translation
y=f(x) + k : graph shifts k units up
y=f(x) - k : graph shifts k units down
b. horizontal translation
y=f(x - k) : graph shifts k units right<...

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What is the difference between independent and mutually-exclusive events?

Conceptually, mutually exclusive events imply that their intersection is the empty set, i.e., they do not intersect. This means that if one event happens, then the other event/events do not happen (only o...

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Leur or leurs?

-"Leur" is used when the possesed object/person is singular, but the posessor is plural.
example 1: Leur amie est belle. "Their friend is beautiful"            (p...

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What is the difference between a COD and a COI?

COD is complement d` object direct, while COI is complement d`object indirect.
COD:
-it is the word that responds to the questions: qui (who) and quoi (what)
-example 1: J`...

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