Terrific Thai Food Truck wants to know about its waiting line. Currently, they use a single-server, single-phase system when serving customers. Based on historical evidence, the average number of customers arriving per hour is 80 and is described by a Poisson distribution. They estimate that they can serve 130 customers per hour with service times that follow an exponential distribution. Being that TTFT customers have infinite patience and are willing to wait in rain, sleet, and snow for the chance to get the best Thai food in town, we don’t see any balking or reneging. Being that Terrific Thai is located in Louisville, Kentucky… a city with a large population… customers come from an infinite population. The owners would like you to help them solve some thorny operational problems and figure out some system performance measures.

Compute each the following for this queueing system:

1. Average utilization.

2. Average time in the system.

3. Average time in the queue.

4. Average number of people in the system.

5. Average number of people in the queue.

6. The probability of there being more than 3 people in the system.

B Excel #1

Proposal #1 would extend trade credit to some customers that previously have been denied credit because they were considered poor risks.   Sales are projected to increase by $120,000 per year if credit is extended to these new customers. Of the new accounts receivable generated, 6% are projected to be uncollectible. Additional collection costs are projected to be 5% of incremental sales, and production and selling costs are projected to be 80% of sales. Your firm expects to pay a total of 30% of its income after expenses in taxes. (Show Work)

1. Compute the incremental income after taxes that would result from these projections:

2. Compute the incremental Return on Sales if these new credit customers are accepted:

If the receivable turnover ratio is expected to be 4 to 1 and no other asset buildup is needed to serve the new customers…

3. Compute the additional investment in Accounts Receivable
4. Compute the incremental Return on New Investment

5. If your company requires a 20% Rate of Return on Investment for all proposals, do the numbers suggest that trade credit should be extended to these new customers? Explain.

Types of Mutual Funds include the followings except

Select one:

a. Open-end mutual funds

b. Closed-end mutual funds

c. Superannuation guarantee funds

d. Exchange-traded funds (ETFs)

e. Index funds

Three six-month call options are traded on Digital Organics stock:

How would you make money by trading in Digital Organics options?

1. PepsiCo, near the top of Table 2-5 in the chapter, is a company that provides
comprehensive financial statements. Go to finance.yahoo.com. In the box next to
“Get Quotes,” type in its ticker symbol PEP and click.
2. Scroll all the way down to “Financials” and click on “Income Statement.” Compute
the annual percentage change between the three years for the following:
a. Total revenue.
b. Net income applicable to common shares.
3. Now click on “Balance Sheet” and compute the annual percentage change
between the three years for the following:
a. Total assets.
b. Total liabilities.
4. Write a one-paragraph summary of how the company is doing.

ABC Corporation Limited has A, B and C three owners, with 50%, 30% and 20% ownership respectively. In a particular financial year, the total revenue of the corporation is $1,250,000, and the total cost is $500,000. In this financial year, 60% of the after tax net income is paid as dividends. Assuming (1) the company income tax rate is 25% and the personal income tax rate is 18%, (2) A, B and C do not have any other income from any other source, and (3) A, B and C each has a total amount of deductions and exemptions of $50,000, what is the income tax paid by the company and what is the personal income tax paid by A, B and C respectively?

Please Write Handwritten on the page

On your own words, explain the purpose and the importance of the income statement, and prepare the income statement for ABC company based on the following information taken from the trial balance in 2019

A debt of $7000 due today is to be settled by three equal payments due 3 months from now, 15 months from now, and 27 months from now. What is the size of the equal payments at 11% compounded annually?

A business researcher wants to estimate the average travel time to work in Cleveland. A random sample of 45 Cleveland commuters is taken and the travel time (in minutes) to work is obtained from each. The data is shown in the table below.

1. Define the random variable X in words ________________________________________________
2. Calculate                      X   =     ___________ _Answer
3. Calculate                      sx =     ___________ _Answer
4. You wish to construct a 95% confidence interval for the population mean Cleveland commute time.
   1. Should you use a t-distribution or a z-normal distribution for this confidence interval?

                                                                      ____________________________ _Answer

2. Construct a 90% confidence interval for the population mean commute time.

                                                                                                                                                                                                                                    __________ <   µ   <   _________ _Answer

Here is the R code for running a t-test:

t.test( numeric vector of data values, another optional numeric vector of data values,

       alternative = c("two.sided", "less", "greater"),

       mu = Ho, paired = c(TRUE, FALSE), var.equal = c(TRUE,FALSE),conf.level =1-)

2)

You want to determine if the average height of men in California is greater than the average height of men in Nebraska. You take a random sample of 30 men in California and 30 men in Nebraska. The data below represents the heights of the men in inches. Write the R code that does the following:

H0: Difference in means in populations is zero.

Ha: Difference in means in the populations is not zero.

NE_heights<-c( 73.5, 68.5, 70, 63, 64, 65, 64, 70, 61, 61.25, 69, 73, 69, 66, 69.5, 68,

64, 64, 72.5, 69, 67, 63, 66.5, 70.5, 64, 67, 71, 74, 68, 65)

CA_heights <- c( 72, 73.5, 74, 75, 66, 78, 70, 73, 74, 68, 71, 68, 67, 66, 73, 72, 82, 71, 64, 72, 65, 66, 69, 83, 67, 74, 76, 65, 74, 79)

a.) Makes two boxplots, an orange one for the CA_heights data and a red one for the NE_heights data which labels the main title "Men’s heights California vs Nebraska" and names the CA_heights data as "CA heights" and the NE_heights data as "NE heights".

b.) Computes the, sample size, mean and standard deviation of both CA_heights and NE_heights data.

c.) Performs an unpaired "less" than t-test with =.02 to decide whether there is a statistically significant difference between men’s heights in California and Nebraska.

d.) Paste your R code into Run R Script and run the script.

e.) Paste the R output to the bottom R code.

f.) Looking at the p-value in the R output, decide if there is evidence to suggest that there is a statistically significant difference between men’s heights in California and Nebraska.

Write the p-value and your conclusion at the top of your R code.