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Answer:
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