Answer:
C) $50,000,000
Explanation:
The aggregate rent is the surplus earned by the lawyers for operating over their cost at this market equilibrium.
In the picture attached, the rent is showed graphically.
At PL=$250 per hour, the amount of demanded hours is QL=1,000,000.
The oportunity cost at a zero hours level is PL(0)=$150.
The rent can be calculated as:
The aggregate rent is $50,000,000.
Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) =
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy =
dy = 66.67
The change in revenue is $66.67 dollars.