Assume that a manufacturer manufactured 850 items from which 50 items do not confirm. Two items are chosen randomly without replacement from the batch.

Suppose that the random variable X equal the number of nonconforming items in the sample. Calculate and draw the cumulative distribution function (CDF) of X.

Two tanks each contain 100 gal of water and tank 2 initially has 50 lbs of salt uniformly dissolved in it. An external flow brings adds 5 gal/min to tank 1 with 5 lbs of salt in it. Tank 1 feeds tank 2 at 10 gal/min, and tank 2 feeds back to tank 1 at 5 gal/min. Finally, an exit stream leaves tank 2 at 5 gal/min.

1) Use Laplace transforms to solve the system of ODEs modeling this system and report the amount of salt in tank 2 as a function of time.

2)find the Homogeneous solution for the system of ODEs above without Laplace transforms; instead, using eigenvalues/eigenvectors.

3)Solve the Particular solution for the system of ODEs above using Undetermined Coefficients.

Consider a stock which is currently selling for $50. Construct a two-step binomial tree, 1-month and 2-months respectively for each of the two steps. The stock market volatility is 30%, the rate of interest is assumed to be 5% and the exercise price is $52.

(i) Calculate the price of an American Put.

(ii) Provide a graphical illustration to demonstrate how the put price and the put payoff change with respect to changes in the stock price.

(iii) Put all in an excel format

Consider a stock which is currently selling for $50. Construct a two-step binomial tree, 1-month and 2-months respectively for each of the two steps. The stock market volatility is 30%, the rate of interest is assumed to be 5% and the exercise price is $52. (i) Calculate the price of an American Put. (ii) Provide a graphical illustration to demonstrate how the put price and the put payoff change with respect to changes in the stock price. (iii) Put all in an excel attachment or copy and paste entire excel sheet

A reversible heat engine operates between two reservoirs at temperatures

700

°C

푎푛푑

50

°C

.

The engine drives a reversible refrigerator which operates between reservoirs at temperatures

of

50

°C

푎푛푑

−

25

°C

. The heat transfer to the engine is 2500 KJ and the net work output of the

combined engine refrigerator plant is 400 KJ.

i)

Determine the heat transfer to the refrigerant and the net heat transfer to the reservoir

at

50

°C

ii)

Reconsider (i) above given that the efficiency of the heat engine and the COP of

the refrigerator are each 45%

of their maximum possible values

4-9. Describe two ways how a firm can determine from a list of 50 to 100 internal factors the 20 most important factors to include in an IFE Matrix

CAN SOMEONE WITH DEEP KNOWLEDGE AND BRAINY ANSWER THE QUESTION PLEASE.

Your client is Magnificent Homeware Limited and your audit will be for the year ended 31 March 2018. Magnificent Homeware Ltd is a retailer and the main products sold are:

fridges

freezers

OLED televisions

coffee machines

blenders.

The retail shops are in Auckland (2) and Wellington (1) and the head office is in Auckland. There has been an extensive amount of capital expenditure over the past three years.

Each of the shops has a manager and they have incentive bonuses based on the net profit of the company. In discussions with each of these managers you have been alerted to the fact that there are problems with the over ordering of fridges and coffee machines. This has been as a result of the volatility of the market and competition in the market place and as a result the company had suffered cash-flow problems during the 2018 income year.

Your analysis of the industry suggests that the market for homeware products is extremely volatile and there is increasing competition and the need for heavy discounting for televisions and fridges.

The homeware industry is affected by changes in technology, especially for the televisions and therefore you have a concern for obsolete televisions as part of the inventory.

The managing director is Gwyneth Homeby and she is a gregarious person who was previously a car dealer. Accounting is definitely not her strong point. She relies completely on the accountant Helen Breeze. Gwyneth also advises you that she is concerned at the verbal reports of an isolated bullying situation by the manager to a sales staff member in one of one of the Auckland stores. You have found the following reference from the Institute of Directors which may assist you: https://www.iod.org.nz/About-us/IoD-news-and-articles/Post/19383.

In your first meeting with Gwyneth she unexpectedly offered you two free tickets to the T20 cricket match between the Black Caps and West Indies. Gwyneth explained to you that she had purchased these tickets however she has now found out that she will be going to a sales conference in Sydney at the time of this cricket match. At this stage you have not accepted the tickets and you are unsure on how to proceed.

Gwyneth also advises you that approximately 10% of the company sales is through supplying white ware and televisions to a government department in Wellington and this department is now reviewing the contract and calling for tenders for the 2018 – 2020 years.

During the 2018 income year the company borrowed an additional $1.4 million on a 15 year mortgage. The additional borrowing was used to build a new retail store which opened in Wellington in November 2017. The two Auckland shops are leased.

The bank overdraft has been agreed upon by the bank and has a maximum agreed overdraft of $400,000.

The 2018 financial statements are as follows:

Magnificent Homeware Ltd – summarised information

Income Statement

As the auditor for Magnificent Homeware Ltd, use the information supplied and complete the following

b. Using the financial information above, provide analytical calculations (supported by formulae and figures) for the purpose of reviewing the financial performance and the financial position of Magnificent Homeware Ltd. Your focus should be to highlight matters of significant concern and trends that appear unusual.

c. From the analysis in (b) above, what are the audit risk factors for inventory and accounts receivable?

d. How would the financial statement analysis in (b) above assist to plan your audit approach for Magnificent Homeware Ltd?

e. From the information above (excluding the financial statements) list the potential problem areas and any major concerns (where there could be risk or material misstatement) that you will need to consider as part of the plan for the 2018 audit for this company. You must provide brief reasons why each of the areas you have listed require special consideration. You should be able to comment on at least 10 areas.

Question 1

What post-translational modification will cause the biggest increase in the size of a protein, immediately when added?

Select one:

a. Phosphorylation

b. Ubiquitination

c. Acetylation

d. Methylation

Question 2

What does HMT do?

Select one:

a. It acts as an epigenator

b. It modifies nitrogenous bases

c. It produces euchromatin

d. It modifies histones

Question 3

Where can an epigenetic maintainer act?

Select one:

a. On the sequence of nucleotides

b. On the sequence of nucleotides and on the nucleotides directly

c. On certain nucleotides and amino acids

d. On certain amino acids

e. On certain nucleotides

Question 4

Which of the following types of protein could be coded by a tumour-suppressor gene?

Select one:

a. A protein that stimulate progression through the cell cycle.

b. A protein that forms part of a growth factor signaling pathway.

c. A protein that codes for a DNA repair enzyme.

d. A protein that helps prevent apoptosis.

e. A protein that repairs lost telomeres

Question 5

Which is NOT a typical mechanism by which a proto-oncogene is converted to an oncogene?

Select one:

a. A point mutation in the proto-oncogene

b. A chromosomal translocation resulting in the up-regulation of the proto-oncogene

c. Duplication of a chromosome region containing a proto-oncogene

d. Complete deletion of the proto-oncogene

e. Amplification of the proto-oncogene

Question 6

Why do you think familial retinoblastoma and Li-Fraumeni are considered to be inherited as autosomal dominant traits when the responsible genes are recessive?

Select one:

a. They are expressed in a dominant fashion in males, but recessive in females.       

b. People with this mutation are always homozygous for this allele.

c. If you are born with one allele mutated in every cell, the chance that the other allele will be mutated in one of the retinal cells is extremely high.

d. This recessive gene needs only one copy to express this phenotype.

e. Retinoblastoma was mischaracterized originally when it was called an autosomal dominant trait.

Question 7

Question text

In a normal cell, pRB binds to __________, which inhibits cell division. In the presence of __________ pRB becomes __________, which leads to cell division.

Select one:

a. cyclin+Cdk; oncogenes; dephosphorylated

b. transcription factors; cyclin+Cdk; phosphorylated

c. tumor suppressor; p53; phosphorylated

d. p21; p53; dephosphorylated

e. tumor suppressor; p21; hyperactive

Question 8

The following information relates to the next three questions:

A few decades ago, Knudsen and colleagues proposed a theory that, for a normal cell to become a cancer cell, a minimum of two genetic changes had to occur in that cell. Knudsen was studying retinoblastoma, a childhood cancer of the eye.

Two children are born from the same parents. Child one inherits a predisposition to retinoblastoma (one of the mutations) and child two does not. However, both children develop the retinoblastoma. Which of the following would you expect?

Select one:

a. a history of exposure to mutagens in child one but not in child two

b. increased levels of apoptosis in both children

c. an earlier age of onset in child one

d. decreased levels of DNA repair in child one

e. a more severe cancer in child one

Question 9

In colorectal cancer, several genes must be mutated in order to make a cell a cancer cell, supporting Knudsen’s hypothesis. Which of the following kinds of genes would you expect to be mutated?

Select one:

a. genes that are especially susceptible to mutation

b. the same genes that Knudsen identified as associated with retinoblastoma

c. genes coding for enzymes that act in the colon

d. the genes of the bacteria that are abundant in the colon

e. genes encoding transcription factors that regulate cyclin production

Question 10

Knudsen and colleagues also noted that persons with hereditary retinoblastoma that had been treated successfully lived on but then had a higher frequency of developing osteosarcomas (bone cancers) later in life. This provided further evidence of their theory because:

Select one:

a. osteosarcoma cells express the same genes as retinal cells.

b. one of the mutations involved in retinoblastoma is also one of the changes involved in osteosarcoma.

c. p53 gene mutations are common to both tumours.

d. retinoblastoma is a prerequisite for the formation of osteosarcoma later in life.

e. both kinds of cancer involve uncontrolled proliferation of cells.

1. Bradford Company has two service departments, Human Resources and Janitorial, and two production departments, Cutting and Glazing. The following data have been estimated for next year’s operations:

Requirements:

(1)   Distribute the service department costs using the sequential distribution method. Distribute the Human Resources Department first. (24 points/3 points each)

(2) Prepare the journal entries to distribute the costs of the service departments to the production departments given the results of your calculations. (16 points/8 points each)

ANS:

(1)      Sequential Distribution Method:

(2)