Question

The inverse demand curve for a monopolist changes from P = 100 – 2Q to P = 120 – 2Q, while the marginal cost of production remains unchanged at a constant $20. After the change in the demand curve, the profit-maximizing price rises from _____, and the profit-maximizing output rises from _____. $40 to $60; 20 units to 30 units $60 to $70; 20 units to 25 units $10 to $20; 100 units to 120 units $50 to $60; 10 units to 12 units.

Answer 1

Answer:

$60 to $70; 20 units to 25 units

Explanation:

The production point for the monopolist is where the marginal revenue is equal to the marginal cost,

For first demand curve,

P = 100 - 2Q

MR = 100 - 4Q,  the MR curve is double sloped than the demand curve

MC = 20

 Now, Equating Marginal revenue with marginal cost,

100 - 4Q = 20

4Q = 80

Q = 20

P = 100 - (2 × 20)

  = 60

For second demand curve,

P = 120 - 2Q

MR = 120 - 4Q

MC = 20

Now, Equating Marginal revenue with marginal cost,

120 - 4Q = 20

4Q = 100

Q = 25

P = 120 - (2 × 25)

  = 70

So, the quantity increases from 20 units to 25 units and the price increases from $60 to $70.