Suppose that a tax is placed on books. if the sellers pay the majority of the tax, then we know that the

If the sellers pay the majority of the tax, then the supply is more inelastic than demand. 

If something is inelastic it is not sensitive to changes in the price or income of someone. The sellers will always have more of the tax burden when supply is more inelastic than demand and vis versa when demand is more inelastic than supply. 

The business cycle is the periodic but irregular up-and-down movement in economic activity, measured by fluctuations in real gross domestic product (gdp) and other macroeconomic variables. a business cycle is typically characterized by four phases—recession, recovery, growth, and decline—that repeat themselves over time. economists note, however, that complete business cycles vary in length. the duration of business cycles can be anywhere from about two to twelve years, with most cycles averaging six years in length. some business analysts use the business cycle model and terminology to study and explain fluctuations in business inventory and other individual elements of corporate operations. but the term "business cycle" is still primarily associated with larger (industry-wide, regional, national, or even international) business trends.

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