Cournot Competition. Consider the problem of the Angels and Dodgers, two teams in the MLB. Before the season begins, the Angels and Dodgers simultaneously choose the number of wins WA and WD they are each going to get this season by constructing a roster of players. Assume that the average revenue (inverse demand) for wins is given by: AR(W ) = P (W ) = 240 − 2W where W = W_A + W_D is the sum of the two teams’ wins. Baseball fans in Los Angeles will choose one team to support (i.e. buy) which determines the ‘price’ of a win, and fans don’t have preferences for either team before the season begins. It is costly for each team to increase the number of wins because teams must acquire better talent. The cost of an additional win is constant at MC = 180 for each team.

a) Suppose that each team chooses their own W_A and W_D to maximize profits. Find the best response function for each team and then find the Nash equilibrium number of wins for each team. Find the equilibrium price and profits of each team.

b) Suppose that each team chooses their own W_A and W_D to maximize the number of wins. Find the best response function for each team and characterize the Nash equilibrium number of wins. Find the equilibrium price and profits of each team.

c) Suppose that the Angels are maximizing profits while the Dodgers are maximizing the number of wins. At the Nash equilibrium, which team will win more games? Which team gets a higher price? Which team has higher profits? (You can either solve for the new equilibrium values or use your intuition and provide a concise explanation.)

The following information is used for the following two questions. Ping and Slazenger Company (its 90% owned affiliate) reported the following income information for year X1:

During Year X1, Slazenger made sales of $20,000 to Ping. Slazenger’s Cost of Sales was $10,000. As of 12/31/X1, Ping had still owned 60% of the units acquired from Slazenger. Based on this information, how much Consolidated Income should Ping report?

Please select the correct answer below only one:

a. $140,000

b. $144,000

c. $146,000

d. $150,000

e. None of the Above

1. Two groups are having competition for chase. If one plays it in its own campus it will win with probability P> ½. They will play three times, two in group 1’s campus and one in group 2’s campus. If one wins game 1 and 2, then game 3 is not going to be played. a) What is P[T], the probability that the group 1 wins the series? b) If they play only once will group 1 have higher chance of winning than from playing 3 games?

Two groups are having competition for chase. If one plays it in its own campus it will win with probability P> ½. They will play three times, two in group 1’s campus and one in group 2’s campus. If one wins game 1 and 2, then game 3 is not going to be played. a) What is P[T], the probability that the group 1 wins the series? b) If they play only once will group 1 have higher chance of winning than from playing 3 games?

2. Consider a two-team league in which the teams play 100 games. The large market team gets gate revenue 12w – (w²/20) if it wins w games while the small market team gets 8w – (w²/20) if it wins w games. There are no other sources of revenue.

i) Find the equilibrium number of wins for each team and the marginal cost of a win.

ii) Suppose that there is revenue sharing, with each team keeping 50% of its revenue and receiving 50% of the other team’s revenue. Determine the equilibrium number of wins for each team and the marginal cost of a win.

iii) Now suppose that there is a payroll cap of 150 for each team (and no revenue sharing). Find the equilibrium number of wins for each team and marginal cost of a win. How do the results change if the cap is 100 for each team?

A 1800kg elevator accelerates upward at 1.40m/s2 for 10.0m , starting from rest.

How much work does gravity do on the elevator?

How much work does the tension in the elevator cable do on the elevator?

Use the work-kinetic energy theorem to find the kinetic energy of the elevator as it reaches 10.0m .

What is the speed of the elevator as it reaches 10.0m ?

Find the regression​ equation, letting the diameter be the predictor​ (x) variable. Find the best predicted circumference of a marble with a diameter of 1.9 cm. How does the result compare to the actual circumference of 6.0 ​cm? Use a significance level of 0.05.

_   Diameter   Circumference
Baseball   7.3   22.9
Basketball   23.6   74.1
Golf   4.2   13.2
Soccer   21.8   68.5
Tennis   6.9   21.7
Ping-Pong   4.0   12.6
Volleyball   20.8   65.3

The regression equation is y^=  + x.
​(Round to five decimal places as​ needed.)
The best-predicted circumference for a diameter of 1.9 cm is cm.
​(Round to one decimal place as​ needed.)
How does the result compare to the actual circumference of 6.0 ​cm?
A.
Since 1.9 cm is beyond the scope of the sample​ diameters, the predicted value yields a very different circumference.
B.
Even though 1.9 cm is within the scope of the sample​ diameters, the predicted value yields a very different circumference.
C.
Even though 1.9 cm is beyond the scope of the sample​ diameters, the predicted value yields the actual circumference.
D.
Since 1.9 cm is within the scope of the sample​ diameters, the predicted value yields the actual circumference.

A physics student who weighs 516.0  N stands on a bathroom scale in an elevator that is supported by an elevator cable; the mass of the elevator, including the student inside, is 868.0  kg . While the student is standing on the scale, the elevator makes an upward trip, followed by a downward trip.

A)Find the magnitude of the acceleration of the elevator at the instant of time when the scale reads 449.0  N

B)What is the tension in the elevator cable in Part (A)?

When the Scale Reads More than the Weight of the Student

At some time during her elevator ride, the scale reads 686.0  N .->>

->> C)What is the magnitude of the acceleration of the elevator if the scale reads 686.0  N ?

D)In which direction is the elevator moving if the scale reads 686.0  N ?

Draw and submit one or more UML sequence diagrams for the following elevator user story:

As a user of an elevator building, I need to be able

• to call an elevator to my floor and ride the elevator to another floor.
• know that my elevator request is being serviced (and that the elevator is not out-of-order).
• stop the elevator doors from closing on me as I enter or exit the car.
• know that I have arrived at the correct destination floor.
• signal for help in an emergency within the car

An object is placed on the floor of an elevator. Which of the following statements is correct regarding the magnitude of the normal force that the elevator floor exerts on the object?

A) It is always the same as the weight of the object regardless the state of motion of the elevator
B) It is less than the weight of the object if the elevator moves downward with a constant velocity

C) It is largest if the elevator undergoes free fall
D) It is less than the weight of the object if the elevator moves upward with an acceleration
E) It is the same as the weight of the object if the elevator is moving with a constant speed