Jane has 2,000 hours that she can allocate to work (H) or to leisure (L), so H+L=2,000. If she works, she receives an hourly wage of $10. Any income she earns from working, she spends on food (F), which has price $2. Jane’s utility function is given by U(F,L) = 150*ln(F)+100*ln(L). The government runs a TANF program, which is defined by a benefit guarantee (BG) of $5,000 and a benefit reduction rate (BRR) of 50%.

1. How many hours, H*, does she have to work to become ineligible for the program?

2. Draw Jane’s budget constraint on a graph with food units on the y axis and leisure units on the x axis. (Be careful: note that the price of food is $2, not $1!).

c. Write down a piecewise function for Jane’s effective wage.

4. Assume that Jane works more than H* hours (your answer from part a) and

   therefore is ineligible for TANF. What bundle of food and leisure would she choose? What would her utility level be as a result? (Note that ??/?? = 150/?and??/?? = 100/?).

5. Assume that Jane works fewer than H* hours and therefore participates in TANF. What bundle of food and leisure would she choose? What would her utility level be?

6. Compare the utility levels computed in parts (d) and (e). Would Jane choose to participate in TANF or not?

Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x represent the average annual hours per person spent in traffic delays and let y represent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data.

The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person.

(b) Compute x and y for both sets of data pairs and compare the averages.

Compute the sample standard deviations s_x and s_y for both sets of data pairs and compare the standard deviations.

You have now been asked to study the yearly mean sales of cameras of two competing models at stores throughout the United States. You will also study the proportions of cameras sold that include certain lenses at a large store that sells both lenses. The specific questions you will be asked to answer are stated below. In addition, appropriate sample data for the studies you will be accomplishing are given below. Answer the following questions concerning the situations posed.

4) In addition, you wish to concern yourself with a comparison of the proportions of the sales of the two camera bodies that include the purchase of a certain lens that fits the body of the camera being studied. Just as the camera bodies are considered competing models, so are the two lenses that may or not be included with the sales of the camera bodies. Random samples of yearly sales of both camera bodies are selected. It is observed with each purchase whether the lens has also been purchased. The data concerning whether the lens is included with the purchase of the camera body is shown in appendix two below. At each of the 10% and 5% levels of significance, is the proportion of Nikon D5 purchases that include the purchase of a certain type of lens at the same time less than the proportion of Canon purchases that includes the purchase of an equivalent Canon lens? If possible, construct both 90% and 95% confidence intervals for the difference in the population proportions of sales of the camera bodies at the stores that include the sale of the lenses. Explain their meaning. Do not use these intervals to perform any hypothesis tests.

Appendix One: (Sales of Camera Bodies)

Nikon D5: 131 145 150 156 176 154 138 122 130 235 165 168 221 229 154 155 154 160 154 144 240 143 232 238 130

Canon Model: 138 140 237 147 170 155 232 228 135 130 161 160 220 229 155 158 150 250 248 246 139 233 133 230 126

Appendix Two: (Includes the Purchase of a Lens? Y = yes, N = no)

Nikon D5: Y N N N Y Y N Y N Y Y N N N N Y Y Y N Y Y N N N N N N Y N N N Y N N N N

Canon Model: N N Y Y Y N N Y N Y N N Y Y Y Y N N N N Y N Y N Y N N N Y Y Y Y Y N Y Y

*****In C++***** Exercise #3: Develop a program (name it AddMatrices) that adds two matrices. The matrices must of the same size. The program defines method Addition() that takes two two-dimensional arrays of integers and returns their addition as a two-dimensional array. The program main method defines two 3-by-3 arrays of type integer. The method prompts the user to initialize the arrays. Then it calls method Addition(). Finally, it prints out the array retuned by method Addition(). Document your code, and organize and space the outputs properly as shown below. Sample run 1: Matrix A: 2 1 2 7 1 8 3 20 3 Matrix B: 1 1 1 1 1 1 1 1 1 A + B: 3 2 3 8 2 9 4 21 4 Sample run 2: Matrix A: 2 2 2 2 2 2 2 2 2 Matrix B: 2 2 2 2 2 2 2 2 2 A + B: 4 4 4 4 4 4 4 4 4

Suppose a​ profit-maximizing monopolist is producing 900 units of output and is charging a price of ​$45.00 per unit. If the elasticity of demand for the product is negative 1.50​, find the marginal cost of the last unit produced. The marginal cost of the last unit produce is ​ ​(Enter your response rounded to two decimal​ places.) What is the​ firm's Lerner​ Index? The​ firm's Lerner Index is ​(Enter your response rounded to two decimal​ places.) Suppose that the average cost of the last unit produced is ​$12.00 and the​ firm's fixed cost is ​$1500. Find the​ firm's profit. The​ firm's profit is ​$ ​(Enter your response rounded to two decimal​ places.)

1. A sociologist is interested in the voting rates of males and females. Two hundred males and two hundred females are randomly sampled. Of these, seventy percent of males and sixty percent of females voted in the last election.

a. Construct a 95% confidence interval around the difference in the proportion of men and women in the population who voted in the last election.

  b. Interpret this interval.

c.

Test the null hypothesis that, in the population, there is no difference in the proportion of men and women who voted in the last election. Use a significance level of .05.

d. What can you conclude about the relationship between the two variables in this example? (That is, is the relationship statistically significant?).

Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way.

Complete parts (a) through (e), given Σx = 372, Σy = 108, Σx² = 24814, Σy² = 3000, Σxy = 7956, and r ≈ 0.927.

(a) Draw a scatter diagram displaying the data.

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(b) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

(c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

(f) Predict the percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds. (Round your answer to two decimal places.)
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1. If the economy enters a boom, the stock of Company E will return 20% and the stock of Company F will return 40%. On the other hand, if the economy enters a recession, the stock of Company E will return -10% and the stock of Company F will return -25%. The boom state is one-and-one-half times as likely as the recession state. The risk-free rate in the market is 2%, while the risk premium of the market portfolio is 6%. You are planning to set up a portfolio of these two securities with a beta of 1.6. Assuming that these two securities are fairly priced according to the CAPM, what should be their weights in the portfolio?

Please show all work.

Your network employs basic authentication that centers on usernames and passwords. However, you have two ongoing problems. The first is that usernames and passwords are frequently lost by negligent users. In addition, adversaries have, on occasion, fooled employees into giving up their authentication information via social engineering attacks. Discuss at least two things could you do to strengthen the use of basic username and password authentication, as discussed in the course textbook.

Your answer should be approximately 200-250 words in length.

It have to be your own words and no outside sources.

A stock is expected to pay a dividend of $1 per share in two months and in five months. The stock price is $50, and the risk-free rate of interest is 8% per annum with continuous compounding for all maturities. An investor has just taken a short position in a six-month forward contract on the stock.
Required

1. What are the forward price and the initial value of the forward contract?
2. Three months later, the price of the stock is $48 and the risk-free rate of interest is still 8% per annum. What is the forward price and the value of the short position in the forward contract?