Search & Filtering
consider the following joint PDF of X and Y.
F(x,y)= 12x for 0<y<x<1,0<x^2<y<1
find the marginal of X and Y
Using a circular flow diagram, illustrate the flow of income and spending for a model including the foreign sector. Clearly describe and indicate leakages the direction of the flies.
If 15% (m/m) NaOH solution has a total mass of 375 g, how much NaOH was used to make this sample?
4. Solve the following system of equations.
50π₯+20π¦=1800 10π₯+3π¦=300
3. The production function of a firm is described by the following equation πΈ=ππ,ππππ³βππ³ π where L stands for the units of labor.
a) Draw a graph for this equation. Use the quantity produced in the y-axis and the units of labor in the x-axis.
b) What is the maximum production level?
c) How many units of labor are needed at that point?
2. Considering the previous supply line, determine if the following demand function corresponds to the market demand equilibrium stated above. πΈπ«=ππππβππ.
1. Consider the market supply curve which passes through the intercept and from which the market equilibrium data is known, this is, the price and quantity of equilibrium π·π¬=ππ and πΈπ¬=ππππ.
a. Considering those two points, find the equation of the supply.
b. Draw a graph of this line.
Explain the problem with imposing competitive pricing in the case of a natural monopoly.
. Assume that arrivals occur according to a Poisson process with an average
of seven per hour. What is the probability that exactly two customers arrive in the two-hour period
of time between
(a) 2:00 P.M. and 4:00 P.M. (one continuous two-hour period)?
(b) 1:00 P.M. and 2:00 P.M. or between 3:00 P.M. and 4:00 P.M. (two separate one-hour periods
that total two hours)?
Explain the problem with imposing competitive pricing in the case of a natural monopoly.
