1. Paul plays guitar in a band. He wants to have as many guitars as possible, regardless of what kind they are. Let x1 denote the number of rhythm guitars and x2 denote the number of bass guitars. The prices of x1 and x2 are p1 and p2, respectively. Paul has an income of m.

a. How would you describe Paul’s preferences for rhythm guitars and bass guitars? What is a utility function that could represent these preferences? What is his budget constraint?

b. Suppose that p1 < p2. Sketch Paul’s budget constraint and the highest possible indifference curve. Clearly label the axes, origin, curves and optimal choice of x1 and x2. What are the equations for Paul’s optimal choice of x1 and x2? Now suppose that Paul gets a raise. Based on the equations for x1 and x2, what will happen to the optimal quantities of x1 and x2? On the same graph, sketch his new budget constraint and highest possible indifference curve. Clearly label the curves and new optimal choice of x1 and x2. Starting at the origin, draw a line that connects Paul’s optimal choices as his income increases. This is an income offer curve. Label the curve and provide a formal definition. Is x1 a normal or inferior good? Explain in one sentence.

c. In one sentence, what is an Engel curve? Continuing from part (b), sketch Paul’s Engel curve for x1 in a separate graph. Clearly label the axes, origin and curve. What is the equation of this curve? What is the slope of the curve? In a separate graph, sketch Paul’s Engel curve for x2. Clearly label the axes, origin and curve. What is the equation of this curve?

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write a response to the paragraphs below, the answer must be at least 125 words

The “First Principles” are the thought by Aristotle that in order for things to exist there must be causes for them to have gained existence and of these causes the highest and most important contributions to these causes are referred to as the first principles. The theory of causation explains that the ultimate causes or first causes exist rather than an infinite set or infinite types of causes. The four causes that explain why knowledge can be obtained are a part theories and types of causes introduced by Aristotle. Formal, Final, Material, and Efficient causes are his explanation to how all things began to exist and where the knowledge for them can be within a definite number. According to Aristotle there must be causes for certain things to have gained existence and of these causes the highest and most important contributions to these are referred to as the first principles.

Some of the first principles to explain the existence of the universe have been the four causes made by Aristotle that all things are made of ultimate causes and that they are of a definite number. Plato thought that Platonic forms existed in a separate and eternal reality and as universal forms were the cause of the existence of all things. Kant’s perception of the first principles was the idea that there was a perfectly independent noumenal being that created all things and was the cause for existence.

The reason for making sure there is agreement about the first principles before discussing a topic in philosophy is to make sure that everyone can accept the reasoning that is given during a discussion and to ensure that everyone that is involved in the discussion is carrying the purpose of their points from the same base beginning. It also makes sure that subject of the conversation has the same cause of existence to ensure that comparisons and contrasts that are looked at within the conversation are better compared equally and fairly.

In each of the cases below, assume Division X has a product that can be sold either to outside customers or to Division Y of the same company for use in its production process. The managers of the divisions are evaluated based on their divisional profits.

profits.

1. Refer to the data in case A above. Assume in this case that $1 per unit in variable selling costs can be avoided on intracompany sales.

a. What is the lowest acceptable transfer price from the perspective of the selling division?

b. What is the highest acceptable transfer price from the perspective of the buying division?

c. What is the range of acceptable transfer prices (if any) between the two divisions? If the managers are free to negotiate and make decisions on their own, will a transfer probably take place?

2. Refer to the data in case B above. In this case, there will be no savings in variable selling costs on intracompany sales.

a. What is the lowest acceptable transfer price from the perspective of the selling division?

b. What is the highest acceptable transfer price from the perspective of the buying division?

c. What is the range of acceptable transfer prices (if any) between the two divisions? If the managers are free to negotiate and make decisions on their own, will a transfer probably take place?

For this computer assignment, you are to write and implement an interactive C++ program to find and print all prime numbers, which are less than or equal to a given value of n, using the algorithm known as the Sieve of Eratosthenes. A prime number p is an integer greater than 1 that is divisible only by 1 and p (itself). The algorithm begins by initializing a set container to contain all the integers in the range 2 to n. A loop makes multiple passes over the elements in the set, using successive integer key values 2, 3, 4, … Each pass “shakes free” nonprime numbers and lets them “filter through the sieve.” At the end, only the prime numbers remain. Begin with the integer m = 2, which is the smallest prime number. The pass scans the set and removes all multiples of 2, having the form 2 * k for k >= 2. The multiples cannot be prime numbers, because they are divisible by 2. At the end of the pass, we have removed all even numbers except 2. Next, look at the integer m = 3, which is a prime number. As with value 2, remove all multiples of 3, having the form 3 * k for k >= 3. The multiples 12, 18, and so forth, are even numbers, so they have already been removed from the set. The next key integer is m = 4, which is no longer in the set, because it was removed as a multiple of 2. The pass takes no action. The process continues until it removes all multiples of prime numbers. In other words, for integer m, remove all multiples of m, having the form m * k for k >= m.

The numbers that remain in the sieve are the prime numbers in the range 2 to n. The algorithm uses an optimization feature by looking at the key values for m <= sqrt ( n ). However, in your implementation, test all numbers m such that m * m <= n, rather than computing the square root of n.

Programming Notes:

1. Use a set container to store the prime numbers. In the STL, a set is implemented as an associative container, it uses the model of a mathematical set, it stores keys that are objects of a specified data type, where duplicate keys are not allowed. To use a set in your program, you need to insert the statement: #include in your header file.

2. In addition to the main ( ) routine, implement (at least) the following two subroutines in your program: • void sieve ( set < int >& s, int n ): This routine can be used to apply the Sieve of Eratosthenes algorithm to remove all nonprime numbers from the integer set s = { 2, 3, …, n }. • void print_primes ( const set < int >& s ): This routine can be used to print the elements in the integer set s (NO_ITEMS = 16 primes per line and ITEM_W = 4 spaces allocated for each prime). Sieve of Eratosthenes 2

3. The main ( ) routine creates an empty set of integers and prompts the user for an upper limit and calls the subroutine sieve ( ) to execute the Sieve of Eratosthenes. It calls the subroutine print_primes ( ) to print the prime numbers on stdout.

4. Include your header file prog3.h, by inserting the statement: #include “prog3.h” at the top of your source file prog3.cc.

ALSO PLEASE ATTACH AN HEADER FILE

1. The researcher changes the exam, slightly, every few years. Therefore, the researcher prefers to measure exam performance in an ordered fashion. He notes the highest score as 1st, the second highest score as 2nd, and so on for all 50 students.

   Is exam performance in this study a continuous or discrete measurement?
   Is exam performance a nominal, ordinal, interval, or ratio measurement? Why?

1. The researcher changes the exam, slightly, every few years. Therefore, the researcher prefers to measure exam performance in an ordered fashion. He notes the highest score as 1st, the second highest score as 2nd, and so on for all 50 students.

   Is exam performance in this study a continuous or discrete measurement?
   Is exam performance a nominal, ordinal, interval, or ratio measurement? Why?

1. The researcher changes the exam, slightly, every few years. Therefore, the researcher prefers to measure exam performance in an ordered fashion. He notes the highest score as 1st, the second highest score as 2nd, and so on for all 50 students.

   Is exam performance in this study a continuous or discrete measurement?
   Is exam performance a nominal, ordinal, interval, or ratio measurement? Why?

Which countries have the highest numbers of women in political office globally? Which countries have the lowest numbers of women in political office globally? What are some of the factors that explain the differences between the highest and lowest nations? What role do factors like culture, religion, laws and policies play in changing the view of women in leadership in these nations?

a ball is thrown vertically upward with a speed of 25m/s, a) how high does it rise. B) how long does it take to reach its highest point? C) how lnong does the ball take to hit the ground after it reachest highest point? D) what is the velocity when its returned to the level from which it started?

The portfolio with the highest volatility has the worst correlation coefficient for diversification (in other words, the highest vol portfolio also has the most positive correlation coefficient). True? or False?

Is the lowest risk portfolio also the portfolio with the most diversification? In other words is the lowest risk portfolio also the most zero to negative correlation coefficient pair. True ? or False?