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ENGR.ECONOMIC ANALYSIS
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# Problem 6: Analyzing Price-Demand Relationship

A highly traded commodity has a price-demand relationship given by the equation:

\[ q = 120 - \sqrt{p} \]

## Tasks

### a) Construct the Elasticity Function

The elasticity function is defined as:

\[ E = -\frac{dq}{dp} \cdot \frac{p}{q} \]

Construct and simplify this elasticity function for the given price-demand relationship.

### b) Find the Elasticity at a Given Price

Calculate the elasticity when the price is $100. Be sure to express the answer in fractions, not decimals.

### c) Determine the Price Where Revenues are Maximized

Identify the price point at which revenue from the commodity is maximized.
Transcribed Image Text:# Problem 6: Analyzing Price-Demand Relationship A highly traded commodity has a price-demand relationship given by the equation: \[ q = 120 - \sqrt{p} \] ## Tasks ### a) Construct the Elasticity Function The elasticity function is defined as: \[ E = -\frac{dq}{dp} \cdot \frac{p}{q} \] Construct and simplify this elasticity function for the given price-demand relationship. ### b) Find the Elasticity at a Given Price Calculate the elasticity when the price is $100. Be sure to express the answer in fractions, not decimals. ### c) Determine the Price Where Revenues are Maximized Identify the price point at which revenue from the commodity is maximized.
Expert Solution
Step 1

Given a highly traded commodity's demand(dd) function as:

q=120-p

where q is the quantity(q) demanded(dd) while p is the price.

 

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