P11–13 Initial investment at various sale prices Ed Mann, sole owner of Edward Mann Consulting (EMC) is replacing one machine with another. The old machine was purchased 3 years ago for an installed cost of $10,000. The firm is depreciating the machine under MACRS, using a 5-year recovery period (see Table 4.2). The new machine costs $24,000 and requires $2,000 in installation costs. The firm is subject to a 40% tax rate. In each of the following cases, calculate the initial investment for the replacement.

Table 4.2

Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes

1. EMC sells the old machine for $11,000.
2. EMC sells the old machine for $7,000.
3. EMC sells the old machine for $2,900.
4. EMC sells the old machine for $1,500.

I don't have a finance calculator. I have the TI84 PLus, please show work . thanks.

1.) use partial fractions to decompose each into a fraction with a linear factor in the denominator:

a.) 2/(x+1)(x+2)

b.) 2/(y)(100-y)

c.) y/(y)(100-y)

d.) 5/x(x+1)(x-2)

e.) 2x+3/x(x+1)(x-2)

f.) x^2/x(x+1)(x-2)

2. Consider the ODE model for population growth:

a. Use separation of variables to determine the solution.

b. What is the value of y(1)?

c. What is the value of y(10)?

d. At what time will the population reach 100? At what time will it reach 1000?

3. Consider the logistic growth model for population growth:

a. Use separation of variables to determine the solution.

b. What is the value of y(1)? c. What is the value of y(10)?

d. At what time will the population reach 100? At what time will it reach 1000?

4. Consider the solutions to the previous two problems

a. What does the first model predict about solutions as t increases?

b. What does the second model predict about solutions as t goes to infinity?

c. Use MATLAB’s ODE45 command to generate plots of the solutions, give a plot of the two functions together on a single set of axes.

d. How are values similar or different for this model in comparison to the previous one?

A company would like to implement its inventory of smartphones as a doubly linked list, called

MobileList.

1. Write a Mobile node node class, called MobileNode, to hold the following information about a

smartphone:

• code (as a String)

• brand (as a String)

• model (as a String)

• price (as int)

MobileNode should have constructors and methods (getters, setters, and toString()) to manage

the above information as well as the link to next and previous nodes in the list.

2. Write the MobileList class to hold objects of the class MobileNode. This class should define:

• Two instance variables first and last to keep the reference (address) of the first and last

nodes of the list.

• The MobileList class should implement the following interface:

public interface MList {

public boolean isEmpty();

// returns true if the list is empty, false otherwise

public int size();

// returns the number of items in the list

public MobileNode getNodeAt(int index);

//returns the MobileNode object at the specified index

public void addFirst(MobileNode item);

// adds a Mobile node at the front of the list

public void addLast(MobileNode item);

// adds a Mobile node at the end of the list

public void addAt(int index, MobileNode item);

// adds a Mobile node to the list at the given index

public String removeAt(int index);

// removes the Mobile node from the list that has the given

// index

public String remove(MobileNode item);

// removes the first item in the list whose data equals

// the given item data

public MobileNode[] searchPriceGreaterThan(int p);

//search and return an array of the set of MobileNode items

//having a price greater than p

public double averagePrice();

// return the average price of the mobile nodes in the list

public double averageBrandPrice(String brand);

// return the average price of the mobile nodes in the list

// from the brand given as a parameter (e.g., “Samsung” or

// “samsung”)

@Override

public String toString();

// implement a toString() method that prints the list in the

// format:

//[ size: the_size_of_the_list

// Mobile node1,

// Mobile node2,

//.... ]

}

3. Write a TestMobileList class to test the class MobileList. This class should have a main method

in which you perform the following actions:

• Create a MobileList object,

• Insert 10 MobileNode objects into the created list (from some brands like “Apple”,

“Samsung”, “Huwaei”, “Sony”),

• Print the content of your list,

• Find out in the list the items that have a price greater than 3000. Print them out.

• Remove the first element of the list

• Remove the item at index 3

• Print again the content of your ist,

• Print out the average price of all mobiles in the list

• Print out the average price of all mobiles in the list from “Apple”.

For each operation above, print a small message that describes the operation you are doing.

For example:

System.out.println(“Insertion of 10 Mobile nodes in the list”);

1. Use numbers and a S-D diagram.

Supply and Demand for balloon rides.

a. Graph the Supply and Demand curves on graph paper, label everything. Find the equilibrium price and quantity using your graph.

b. Let’s evaluate a price cap on balloon rides at $100 per ride. Use your graph and the table to find the new price and quantity in this market. Then, explain who is helped by the policy and who is hurt, using numbers in your sentences.

2. Reproduce the same S-D diagram for balloon rides, but this time shade and label the areas of consumer surplus (CS) and producer surplus (PS). Use at least half a page for the graph. Label the areas with numbers and explain who gains and loses each area. Show the deadweight loss of the price control on the graph and explain in words.

3. Let’s think about some possible complications that might be caused by this price control on balloon rides. If price ceilings cause shortages (they do), then how might market participants respond to those shortages. What else might the government need to do? Can you think of some other side effects created by price controls?

(a) The following table provides information about two NZX listed companies, A Ltd and B Ltd, with some missing entries:

Two analysts provide the following  market model equations for B Ltd, respectively:

Analyst X:        E(R) = 0.025 + 1.110 × Rm

Analyst Y:         E(R) = 0.042 + 0.098 × Rm

Where:

• E(R) is the expected return in share price for the company for the current year; and

• Rm is the market return in share price for the current year.

REQUIRED:

1. Calculate the expected return in share price for A Ltd for the current year. Show your workings.

2. Using the market models provided by Analyst X and Y, calculate the expected return in share price for B Ltd for the current year respectively. Show your workings.

3. Using the market models provided by Analyst X and Y, calculate the abnormal return in share price for B Ltd for the current year respectively. Show your workings.

4. If forecast errors in EPS for the current year for B Ltd is $0.05, based on your calculations above and referring to the information theory, briefly explain which analyst’s market model equation you agree with. (Maximum words: 100)

1. Suppose that in a city there are 100 identical stores selling the same product. The total daily market demand function for the produce in the market is                              

QD =300,000 – 10,000P, where P is expressed in dollars per unit. The daily market supply curve is

QS = -15,000 + 20,000P

1. Determine algebraically the equilibrium price and quantity of product.
2. Now suppose the market is monopolized (e.g., a cartel is that determines price and quantity as a monopolist would). Determine the monopolist’s profit-maximizing price and quantity.
3. What is the dead weight loss (DWL)? (20 points)

• To work part b:

1. Find reverse demand curve (to put it in $)
2. Find MR curve (double reverse demand slope coefficient)
3. Find reserve supply curve (it is the marginal cost)
4. Set MR = MC and solve

• To work part c, dead-weight loss triangle is ½(base x height)

1. Base is difference between monopoly and competitive quantities
2. Height is difference between price and marginal cost (supply price) at the quantity where MR = MC.

Reference diagram on p. 405. It shows the idea of a DWL triangle but unlike the diagram, this problem has upsloping MC/S curve. You must calculate the MC to find the triangle. The difference between the demand price and the MC (the supply price) will be height of the DWL triangle.

PLEASE DO NUMBER 5 NOT 4 but 5 needs answers from 4 thank you 4. (30 points) Consider the market for trinkets, where the demand and supply aregiven by the formulas:Demand :Quantity=100−PriceSupply :Quantity=−20+2∙Price (a) (10 points) Draw the demand and supply curves, and find the equilibriumprice and equilibrium quantity. (b) (10 points) Imagine that the government introduces a price cap of $30.Compare the consumer surplus before and after the cap is introduced.Are consumers better off or worse off? (c) (10 points) Imagine that now the price cap is reduced to $20. Comparethe consumer surplus after the new price cap with the consumer surpluswithout any cap. Are consumers better off or worse off? 5. (40 points) In the market for trinkets from problem 4, the government decides to introduce a tax on consumption instead of capping the price. Compute the equilibrium price post tax, the price consumers pay, the equilibrium quantitypost tax, the tax revenue, and the deadweight loss from the following taxes: (a) (10 points) A tax rate of $30. (b) (10 points) A tax rate of $45. (c) (10 points) A tax rate of $60. (d) (10 points) With the results from parts (a) to (c), draw the Laffer curve

You are one of five risk-neutral bidders participating in an independent private values auction. Each bidder perceives that all other bidders’ valuations for the item are evenly distributed between $50,000 and $90,000. For each of the following auction types, determine your optimal bidding strategy if you value the item at $72,000. a. First-price, sealed-bid auction. Bid $72,000. Bid $67,600. Bid $50,000. Bid $90,000. b. Dutch auction. Let the auctioneer continue to lower the price until it reaches $72,000, and then yell "Mine!". Let the auctioneer continue to lower the price until it reaches $67,600, and then yell "Mine!". Let the auctioneer continue to lower the price until it reaches $50,000, and then yell "Mine!". Let the auctioneer continue to lower the price until it reaches $90,000, and then yell "Mine!". c. Second-price, sealed-bid auction. Bid $67,600. Bid $72,000. Bid $90,000. Bid $50,000. d. English auction. Remain active until the price exceeds $67,600, and then drop out. Remain active until the price exceeds $90,000, and then drop out. Remain active until the price exceeds $72,000, and then drop out. Remain active until the price exceeds $50,000, and then drop out.