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Using Only the fiVe Properties Associative Laws, Commutative Laws, Distributive

question 29

Essay

Using only the five properties associative laws, commutative laws, distributive laws, identity laws, and com- plement laws, prove that x + (x y) = x is true in all Boolean algebras.


Definitions:

Cumulative Number

A total that increases over time by adding sequential amounts.

Lagrangian Technique

A mathematical method used in economics and engineering to find the maximum or minimum values of a function subject to constraints.

Optimal Capital/Labor Ratio

The most efficient mix of capital and labor that maximizes output or minimizes cost for producing a given level of output.

Production Function

An equation that describes the maximum output of a firm, given the quantity of inputs.

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