Economics Today: The Micro View (19th Edition) (Pearson Series in Economics)
Economics Today: The Micro View (19th Edition) (Pearson Series in Economics)
19th Edition
ISBN: 9780134479255
Author: Roger LeRoy Miller
Publisher: PEARSON
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Chapter 19, Problem 8P
To determine

Suppose that over a range of prices, the price elasticity of demand varies from 15.0 to 2.5 over another range of prices, the price elasticity of demand varies from 1.5 to 0.75. What can you say about total revenues and the total revenue curve over these two ranges of the demand curve as price falls?

Concept Introduction:

Price Elasticity of Demand and Total Revenue of a Firm:

  1. Price elasticity of demand is inelastic ( e d <1) ): When a firm increases its product prices, and total revenue also rises.
  2. Price elasticity of demand is elastic ( e d >1) : When a firm lowers its price, and the total revenue increases or when a firm increases its product prices, the total revenue falls.
  3. Price elasticity of demand is unit elastic e d (=: When a firm increases or decreases its product prices, the total revenue remains same.

Total Revenue: It can be defined as the total amount received by a firm after selling the products. It can be calculated as:

Total Revenue = Price x Quantity

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Exercise 6 Imagine that you head production of a multinational food processing company. The ongoing uncer- tainty about costs means that you are unsure of the future cost of one of your inputs, x2. Your firm's production function is y = f(x1, x2) = x²x²² The output price p is 1000, x1 = 27, and wx₁ = 60. 1. Suppose the current input price is Wx2 = 50. Solve for the optimal choice of x2. 2. Now suppose that the probability the input price remains 50 is 0.65 and the probability that Wx2 60 is 0.35. Solve for the optimal choice of x2. Round down to the nearest integer. = 3. Finally, suppose the costs do actually rise, i.e., Wx2 = 60. Calculate the difference in profit from the uncertainty in (2) vs. the certainty in (1).
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Elasticity of Demand- Micro Topic 2.3; Author: Jacob Clifford;https://www.youtube.com/watch?v=HHcblIxiAAk;License: Standard YouTube License, CC-BY