Lesson 10: Elasticity of Demand

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Lesson 10: Elasticity of Demand MATH 1314 Lesson 10: Elasticity of Demand

Revenue Response To Elasticity

Note: The demand function must be solved for x, in terms of p. -(p*f'(p))/f(p) simplify(g(p))

Popper 9: For the following, consider a product with the demand function of: x = f(p) = 1000 – 5p Find f’(p) 995p b. -5 c. -5p d. 1000p 2. Set up the elasticity function: a. 5p/(1000-5p) b. -5p/(1000-5p) c. 5/(1000-5p) 3. Simplify the elasticity function a. p/(1000-p) b. 1/200 c. p/(200-p) d. p/195

Popper 9 Continued: 4. Evaluate the elasticity function at p = 50 2 b. 0.5 c. 0.333 d. 3 5. Determine elasticity at p = 50 demand is elastic b. demand is inelastic 6. Interpret results for p = 50 An increase in price will decrease demand An increase in price will increase demand An increase in price will not affect demand