QuadPlex Cinema is the only movie theater in Idaho Falls. The nearest rival movie theater, the Cedar Bluff Twin, is 35 miles away in Pocatello. Thus QuadPlex Cinema possesses a degree of market power. Despite having market power, QuadPlex Cinema is currently suffering losses. In a conversation with the owners of QuadPlex, the manager of the movie theater made the following suggestions: “Since QuadPlex is a local monopoly, we should just increase ticket prices until we make enough profit.”

a. Comment on this strategy. Will it work in short run?

b. Is the Lerner index an appropriate measure for the market power of QuadPlex Cinema? Please explain your answer briefly.

c. What options should QuadPlex consider in the long run?

Markov Analysis 2. Management of a Milk Chocolate Galore company believes that the probability of a customer purchasing its MilkyChoc or the company’s major competition, ChocoMilk, is based on the customer’s most recent purchase. Suppose that the following transition probabilities are appropriate:

To

From                                                  MilkyChoc                         ChocoMilk

MilkyChoc                                              0.8                                       0.2

ChocoMilk                                              0.3                                       0.7

a. Show the two-period tree diagram for a customer who last purchased MilkyChoc. What is the probability that this customer purchases MilkyChoc on the second purchase?

b. What is the long-run market share for each of these two products?

c. A MilkyChoc advertising campaign is being planned to increase the probability of attracting ChocoMilk customers. Management believes that the new campaign will increase to 0.40 the probability of a customer switching from ChocoMilk to MilkyChoc. What is the projected effect of the advertising campaign on the market shares?

Write a C++ program

Given fuzzy sets A and B, find complement A, A ∪ B, and A ∩ B

A = {0.2 : a, 0.7 : b, 0.5 : c, 0.01 : k, 0.98 : z} and

B = {0.42 : a, 0.6 : b, 0.5 : h, 0.1 : k, 0.44 : m, 0.8 : z}

Please answer/discuss the following questions?

Assume you are the RM for a newly opened theme park in a major southwestern city. Your guests will consist primarily of families visiting the park, as well as schoolchildren on field trips and church youth groups. Yours is the only such park within 150 miles. Identify at least five non-cost factors you would want to consider as you determine the prices that will be charged for the menu items you will sell. Explain why you selected each factor chosen.

A meteorologist who sampled 35 randomly selected thunderstorms found that they had a mean speed of travel across a state of 16 miles per hour and a standard deviation of 1.5 miles per hour

find a 98% confidence interval for the population mean travel speed for the thunderstorms across a state ( round to 1 decimal place)

Find the margin of error ( round to 1 decimal place)

if the meteorologist wants her estimate to be within 0.3 with 98% confidence, what is the sample size required ? the answer has to be a whole number

A study was conducted to see how people reacted to certain facial expressions. A sample group of n=36n=36 was randomly divided into six groups. Each group was assigned to to view one picture of a person making a facial expression. Each group saw a different picture, and the different expressions were (1) Surprised (2) Nervous (3) Scared (4) Sad (5) Excited (6) Angry. After viewing the pictures, the subjects were asked to rank the degree of dominance they inferred from the facial expression they saw. (The scale ranged from -10 to 10) The data collected is summarized in the table below.

Complete the following ANOVA table

On a daily​ basis, the Vampire Van is dispatched from Maplewood Hospital to pickup blood and platelet donations made at its local donation centers. The distances in miles between all locations may be found in the table below. a. The Vampire Van travels from the Hospital​ (A) to​ (B) to​ (C) to​ (D) to​ (E) and then returns to the Hospital​ (A). What is the total number of miles that the van must travel using this​ route? ​(Enter your response rounded to one decimal​ place.) b. Using Maplewood Hospital as the beginning​ location, create a route using the Nearest Neighbor heuristic. What is the total number of miles that the van must travel using this​ route? ​(Enter your response rounded to one decimal​ place.) c. Using Westbrook ​(Upper C​) as the beginning​ location, create a route using the Nearest Neighbor heuristic. What is the total number of miles that the van must travel using this​ route? ​(Enter your response rounded to one decimal​ place.)

An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the color index, or B−V index, and distance (in light years) from Earth for 30 stars. The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star's temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.

B-V index   Distance (ly)
1.1   1380
0.4   556
1.0   771
0.5   304
1.4   532
1.0   751
0.5   267
0.8   229
0.5   552
0.2   896
1.5   1819
0.5   381
0.5   257
1.1   541
0.7   133
0.5   300
0.0   985
0.4   525
1.0   408
1.1   1367
1.07   2848
1.1   128.9
1.12   1766.2
0.64   186.5
0.87   8269.2
0.19   828.9
1.03   153
0.55   223.6
1.39   963.9
0.89   91.7

An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the color index, or B−V index, and distance (in light years) from Earth for 30 stars. The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star's temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.

B-V index   Distance (ly)
1.1   1380
0.4   556
1.0   771
0.5   304
1.4   532
1.0   751
0.5   267
0.8   229
0.5   552
0.2   896
1.5   1819
0.5   381
0.5   257
1.1   541
0.7   133
0.5   300
0.0   985
0.4   525
1.0   408
1.1   1367
1.07   2848
1.1   128.9
1.12   1766.2
0.64   186.5
0.87   8269.2
0.19   828.9
1.03   153
0.55   223.6
1.39   963.9
0.89   91.7

R=

Cluster analysis has a number of optional metrics. Identify the Euclidean, Manhattan, and Farthest First distances for each of the following cases to the two clusters given the following data (which has been transformed to a 0-1 scale).