Amonopoly market is characterized by the inverse demand curve p = 1,200 – 40 q and a constant marginal cost of $200. if the marginal cost of production rises to $400, the profit-maximizing output level units and the price rises by

The profit maximizing output level declines by 2.5 units and the price rises by $100.

Explanation:

In a monopoly market the inverse demand curve is given as,

P = 1,200 - 40Q

The marginal cost of production of the last unit is $200.

The total revenue is

=

=

The marginal revenue of the last unit is

=

= 1,200 - 80Q

At equilibrium the marginal revenue is equal to marginal price,

MR = MC

1,200 - 80Q = 200

80Q = 1,000

Q = 12.5

Putting the value of Q in the inverse demand function,

P =

P = $700

Now, if the marginal cost rises to $400,

At equilibrium the marginal revenue is equal to marginal price,

MR = MC

1,200 - 80Q = 400

80Q = 800

Q = 10

Putting the value of Q in the inverse demand function,

P =

P = $800

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