/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 33 The equation for a demand curve ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The equation for a demand curve is P = 48 – 3Q.

What is the elasticity in moving from a quantity of 5 to

a quantity of 6?

Short Answer

Expert verified

The price elasticity in moving from a quantity of 5 to

a quantity of 6 is - 2.20.

Step by step solution

01

Step 1. Meaning

  • Elastic demand indicates the quantity demanded as a response to changes in price in a more than proportional manner.

Price elasticity of demand=

percentage change in the quantity demanded of a good or service/percentage change in the price.

02

Step 2. Explanation 

Given equation,

P = 48 – 3Q.(the demand curve)

At Q=5

P= 48- 3×5

=48-15

=33

At Q=6

P = 48 – 3 ×6

=48-18

=30

As price increases, the quantity demanded decreases.

03

Step 3. Calculation.

.Price elasticity using the formula from percentage method,

percentage change in the Quantity = △in Quantity÷initial quantity ×100, (△Q= Q1-Q)

= 6 -5÷5 ×100

= 20 %

percentage change in the Price = △in Price /initial price ×100, (△P= P1-P)

= 30-33 /33 ×100

= -9.09 %

Ed = % △in Quantity demanded ÷% △in price

= 20 / - 9.09

= - 2.20.

The price elasticity in moving from a quantity of 5 to

a quantity of 6 is - 2.20.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.