Answer to Question #193090 in Economics for ABC

Question

1.      From the given table calculate Elasticity of Price, Total Revenue and Marginal Revenue. Also, explain the relationship between AR and MR?

 

Price

Quantity

Total Revenue

Marginal Revenue

6

0

 

 

5

100

 

 

4

200

 

 

3

300

 

 

2

400

 

 

1

500

 

 

0

600

 

 

Answer 1

(a) We can find the price elasticity of demand as follows:

$E_d=\dfrac{\%\Delta Q}{\%\Delta P}=\dfrac{\dfrac{Q_2-Q_1}{0.5(Q_2+Q_1)}}{\dfrac{P_2-P_1}{0.5(P_2+P_1)}},$

$E_d=\dfrac{\dfrac{100-500}{0.5(100+500)}}{\dfrac{5-1}{0.5(5+1)}}=-1.0$

We can find the total revenue as follows: TR = P×Q.

(c) We can find the marginal revenue as follows:

$MR_1=\dfrac{TR_1-TR_0}{Q_1-Q_0}=\dfrac{\$500-0}{500-600}=-\$5,$

Finally, we get the following table:

P Q TR MR Ed

6 0 0 -

5 100 500 -5

4 200 800 -3

3 300 900 -1

2 400 800 1

1 500 500 3

0 600 0 5

(d) The average revenue curve has the downward slope and its corresponding marginal revenue curve lies below it. As we can see from the table, the marginal revenue is lower than the average revenue. Given the demand for his product, the monopolist can increase his sales by lowering the price and the marginal revenue also falls.