Trigonometry isn't running away from sustainability. We can survive in revenue management at the cutting edge of derivatives but trigonometry permeates our understanding of the cyclical nature of economics in the hospitality industry illustrating the dynamics of hotel pricing substitution and income effects. Here the average daily rate functions as the tangent revenue per available room as the cosine and occupancy as the sine all within the framework of the hotel elasticity angle. Price discrimination within hotel revenue management has found resolution through the Nash equilibrium creating mutually beneficial outcomes particularly in the hotels across three regions of the United States with notable impact in the Southeast.
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