Two firms set prices in a market with demand curve Q = 6 − p, where p is the lower of the two prices. If firm 1 is the lower priced firm, then it is firm 1 that meets all of the demand; conversely, the same applies to firm 2 if it is the lower priced firm. For example, if firms 1 and 2 post prices equal to 2 and 4 dollars, respectively, then firm 1–as the lower priced firm–meets all of the market demand and, hence, sells 4 units. If the two firms set the same price p, then they each get half of the market, that is, they each get (6−p )/2 . Suppose that prices can only be quoted in dollar units, such as 0, 1, 2, 3, 4, 5, or 6 dollars. Suppose, furthermore, that costs of production are zero for both firms. Finally, suppose that firms want to maximize their own profits.
Show that posting a price of 0 dollars and posting a price of 6 dollars are both dominated strategies. What about the strategy of posting a price of $4? $5?
In: Economics
If a diploid cell has 4 chromosomes at interphase (before S phase), how many chromosomes AND sister chromatids will it have at each of the following phases?
Prophase 1
Metaphase 1
Anaphase 1
Telephase 1
Prophase 2
Metaphase 2
Anaphase 2
Telephase 2
In: Biology
Python question
Define a function called selection_order(items, interval) which takes two parameters: items is a list of elements and interval is an integer larger than 0. Imagine that the elements in items were arranged in a circle. Including the first element, count off the elements in items up to the interval position and then remove that element from the circle. From that position, begin counting the positions of the elements again and remove the element that has the next interval position. Every time you reach the end of the items, continue counting at the beginning of the remaining elements. Eventually, all elements will be removed. The function returns a list of elements in the order that they are removed. Use a queue object to implement this functionality.
To provide an illustrative example: assume that there are five items: 1, 2, 3, 4, 5 and that the interval is 3. The interval of 3 means that every third item is removed. So, the first item removed is 3, which leaves: 1, 2, 4, 5. Counting off from where 3 was—and continuing our count from the beginning when we reach the end of the items—the next item to remove is 1, which leaves: 2, 4, 5. The next item removed is 5, leaving: 2, 4. Then 2 is removed, followed by 4. So the selection order is: 3, 1, 5, 2, 4.
Note 1: You can assume that the Queue class is
given and that the is_empty(),
enqueue(), dequeue(),
peek() and size()
methods are available.
Hint: Remember that queues maintain the order of
elements added to them, so if you had all items in a queue then you
could cycle through each of them (potentially infinitely) by
getting the next item with a dequeue()
and reinserting it back into the queue using the
enqueue() method.
For example:
| Test | Result |
|---|---|
item_collection = [1, 2, 3, 4, 5, 6, 7, 8, 9] print(selection_order(item_collection,2)) |
[2, 4, 6, 8, 1, 5, 9, 7, 3] |
item_collection = ["Hoiho", "Huia", "Kaka", "Kakapo", "Kaki"] print(selection_order(item_collection,3)) |
['Kaka', 'Hoiho', 'Kaki', 'Huia', 'Kakapo'] |
item_collection = ["Karearea", "Kea", "Kiwi", "Kotare", "Kotuku", "Matata"] print(selection_order(item_collection,4)) |
['Kotare', 'Kea', 'Karearea', 'Kiwi', 'Matata', 'Kotuku'] |
In: Computer Science
Appendix B.4 is a table of random numbers that are uniformly distributed. Hence, each digit from 0 through (including) 9 has the same likelihood of occurrence. (Round your answers to 2 decimal places.)
a) Compute the population mean and standard deviation of the uniform distribution of random numbers.
| Population mean | |
| Population Standard Deviation |
b) Assume that 10 random samples of five values are selected from a table of random numbers. The results follow. Each row represents a random sample.
| 7 | 6 | 6 | 7 | 7 |
| 6 | 2 | 9 | 1 | 8 |
| 1 | 6 | 8 | 4 | 1 |
| 1 | 7 | 8 | 4 | 1 |
| 8 | 2 | 2 | 1 | 7 |
| 3 | 6 | 8 | 3 | 0 |
| 8 | 1 | 9 | 5 | 2 |
| 8 | 7 | 6 | 4 | 6 |
| 7 | 5 | 4 | 9 | 5 |
| 6 | 1 | 6 | 6 | 2 |
Compute the mean of each sample.
| The population mean is | ||
| The mean of the first row is | ||
| The mean of the second row is | ||
| The mean of the third row is | ||
| The mean of the fourth row is | ||
| The mean of the fifth row is | ||
| The mean of the sixth row is | ||
| The mean of the seventh row is | ||
| The mean of the eighth row is | ||
| The mean of the ninth row is | ||
| The mean of the tenth row is | ||
|
c) Compute the mean and standard deviation of the sample means. Compare the values to the population mean and standard deviation
| The mean of the means is | . It | close to the population mean | ||
| The standard deviation of the sample means is | . It is much | than the population standard deviation |
In: Statistics and Probability
Solve the given non-homogeneous recurrence relations:
an = an-1 + 6an-2 + f(n)
a)
an = an-1 + 6an-2 - 2n+1 with a0 = -4, a1= 5
b)
an = an-1 + 6an-2 + 5 x 3n with a0 = 2, a1 = 5
c)
an = an-1 + 6an-2 - 36n with a0 = 10, a1= 40
In: Math
The sales of Cool-Man air conditioners have grown steadily during the past six years as shown on the table below.
| Year | Sales |
| 1 | 450 |
| 2 | 495 |
| 3 | 518 |
| 4 | 563 |
| 5 | 584 |
| 6 | 592 |
(a) Provide a forecast by using a 3-year weighted moving average technique with weights 4, 2, and 1 (4 = most recent).
(b) Forecast sales using a 2-year moving average technique.
(c ) What is the MSE from the 2-year moving average?
Show work please
In: Economics
AS2 Description: The purpose of this assignment is to learn to compute key numerical measures for descriptive statistics. AS2 Instructions: 1. The following data set is about the number of times a sample of 20 families dined out last week: 6 1 5 3 7 3 0 3 1 3 4 1 2 4 1 0 5 6 3 1 2. Compute the mean and median. 3. Compute the first and third quartiles. 4. Compute the variance and standard deviation. 5. Compute Z score for each number. 6. Do the data contain outliers?
In: Statistics and Probability
A business valued at $2,000,000 has 4 partners. Each of the 4 partners buys a a $180,000 life insurance policy for purposes of a buy-sell agreement on each of the other partners. Which of the following is/are true?
1. This is an example of an entity purchase plan.
2. This is an example of a cross purchase plan.
3. The buy-sell agreement is over-funded.
Group of answer choices
2 only
1 only
2 and 3 only
1 and 3 only
In: Finance
(1). What is the payback period of an investment with the following cash flows?
Year Cash Flow
0 -60,000
1 30,000
2 20,000
3 15,000
4 10,000
5 5,000
(2). A project has the following cash flows:
Year Cash Flow
0 -$4,000
1 2,000
2 2,000
3 2,000
4 2,000
Its cost of capital is 10 percent. What is the project’s discounted payback period?
In: Finance
1.Includes a summary of the conditions with definition, signs
and symptoms and treatment
2. Place the conditions by a system in alphabetical order
Endocrine
1. Type I Diabetes Mellitus
2. Type II Diabetes Mellitus
3. Hyperthyroidism
4. Hypothyroidism
5. Addison’s
6. Cushing’s
Cardio
1. Anemia
2. Hypertension
3. Dysrhythmias
4. Congestive Heart Failure (CHF)
5. Coronary Artery Disease (CAD)
6. Myocardial Infarction
In: Nursing