Answer:
Quantity = 59 units
Price = $111
Step-by-step explanation:
The Demand function is given by

The Marginal cost is given by

We are asked to find the quantity and price of goods.
Firstly, obtain the Marginal revenue function from the demand function
The Total revenue is given by

The Marginal revenue is the derivative of the Total revenue,

Assuming that the monopolist maximizes profits,

Therefore, the quantity is 59 units.
The price of each good is

Therefore, the price is $111.
Answer:
add 1/4 to each side
Step-by-step explanation:
x^2+x=11
We take the coefficient of the x term
1
Then divide it by 2
1/2
Then square it
(1/2) ^2 = 1/4
Add this to both sides of the equation
x^2 + x + 1/4 = 11+1/4
(x+1/2)^2 = 11 1/4