Question

For the demand D = 1 + 3p – p2 , where p is the price. The marginal
demand (MD) is given by

a) 3 +p

b) 3p?

c) 2p

d) 3 - 2p​

Answer 1

Step-by-step explanation:

01. the relation between price (P) and

demand (D) of a cup of tea is given as

D = 32

P

Find the rate at which the demand

changes when the price is Rs 4- .

Interpret the result

ans : 2

02. the demand D for a price P is given as

D = 27

P

Find the rate of change of demand

when price is 3

ans : 3

03. the demand D of biscuits at price P is

given as D = 64

P

3

Find the marginal demand , when price

is Rs 2

ans : 12

04. for a commodity , price – demand

relationship is given as

D = P + 5

P – 1

Find marginal demand when price is 2

ans : 6

05. the demand function of a commodity is

given as P = 20 + D – D2 . Find the

rate at which price is changing when

demand is 3

ans : 5

06. the relation between supply S and

price P of a good is given as S = 2P2 .

Find the marginal supply at price Rs 5.

Interpret the result

ans : 20

07. The supply S of electric bulbs at price P

is given by S = 2P3 + 7

Find the marginal supply when price is

5 . Interpret the result

ans : 150

08. the supply S for a commodity at price P

is given by S = P

2 + 9P – 2

Find the marginal supply when price is 7

ans : 23

09. For a commodity ,

demand D = 24P and

P – 2

Suppy S = P

2

Find equilibrium price . Find marginal

demand and marginal supply at that

price

ans : 6 , 3 , 12

10. the demand function of a commodity is

given by P = 32 + 3D – D2

Find the rate at which the price is

changing , when demand is 2 . Also find

the rate at which the total Revenue R is

changing at that time

ans : 1 , 32

11. the demand function is given as

P = 175 + 9D + 25D2

Find the total revenue and marginal

revenue when demand is 10

ans : 27650 , 7855

12. The price P and the demand x of pens

has relation x = 20P  4

Find the marginal revenue when P = 9

ans : 86

13. the cost C for an output x is given as

C = x4 – 2x3 + 80x + 150

Find the rate at which the cost is

changing when output x is 2

ans : 88

14. The total cost of producing x items is

given by C = x

2 + 4x + 4

Find the average cost and the marginal

cost .

What is the marginal cost when x = 7

ans : x + 4 + 4x , 2x + 4 , 18