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If Producer Choice Sets Are Convex and a Production Plan

question 4

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If producer choice sets are convex and a production plan satisfies the condition that the (marginal) technical rate of substitution is equal (in absolute value) to the ratio of input prices, then the production plan is profit maximizing.


Definitions:

Silica

A chemical compound of silicon and oxygen, often found in quartz and used in glass making and electronics.

Halite

Halite is a naturally occurring mineral known as rock salt, consisting mainly of sodium chloride (NaCl), and is often mined for use in cooking and as a road deicer.

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance, which is the main constituent of Earth's streams, lakes, and oceans, and the fluids of most living organisms.

Carbonate

A salt of carbonic acid, characterized by the presence of the carbonate ion, CO3^2-, or a compound containing this ion.

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