Individual Problems 5-1

George's T-Shirt Shop produces 8,000 custom-printed T-shirts per month. George's fixed costs are $24,000 per month. The marginal cost per T-shirt is a constant $9.

George's break-even price is _______ per shirt.

Suppose George sells 50% more T-shirts per month.

At this quantity of shirts, George's break-even price is _______ per shirt.

Individual Problems 5-2

Suppose an initial investment of $80 will return $30/year for three years (assume the $30 is received each year at the end of the year).

At a discount rate of 25%, this investment ________ profitable.

Individual Problems 5-3

Perhaps the most important kind of capital is human capital. For example, most lawyers spend years learning to practice law. Lawyers are willing to make large investments in their human capital because they expect to be compensated for doing so when they begin work. Suppose the government nationalizes the market for legal services, resulting in lower compensation for lawyers. Assume lawyers cannot easily move to other countries.

True or False: The investment in human capital for lawyers is subject to post-investment hold-up.

True

False

Individual Problems 5-5

Last year, a toy manufacturer introduced a new toy truck that was a huge success. The company invested $2.50 million in a plastic injection molding machine (which can be sold for $2 million immediately) and $200,000 in plastic injection molds specifically for the toy (not valuable to anyone else). The cost of labor and materials necessary to make each truck runs about $4. This year, a competitor has developed a similar toy, significantly reducing demand for the toy truck. Now, the original manufacturer is deciding whether it should continue production of the toy truck.

If the estimated demand is 100,000 trucks, the break-even price is _______ per truck.

1. Relative and percent frequency distributions
2. A bar chart
3. A sorted bar chart
4. A pie chart
5. Based on these data, what are the most common last names? Which type of chart makes this most apparent? 

a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m . At t=0.2s, the displacement x=-0.3m, and the velocity v=-2.0m/s

a) find the equation of displacement as a function of time

b) sketch the displacement as a function of time for the first cycle starting t=0s

please fill out the definitions :

31. Efferent

32. Endothelial cells

33. Epithelial cell

34. Epitope (antigenic determinant)

35. Extravasation/transmigration

36. Follicle (primary and secondary)

37. Follicular dendritic cell (FDC)

38. Germinal center

39. Granulocyte

40. H-2

41. Haplotype

42. Herd immunity

43. Histocompatibility

44. HLA

45. Host (with regard to pathogen)

46. Humoral immunity

47. Hybridoma

48. Immunity

49. Inflammation

50. Innate immunity

51. Latency

52. Lectin

53. Leukocytes

54. Memory cell

55. Major histocompatability complex (MHC)

56. Monoclonal antibody

57. Myeloid cells

58. Negative selection

59. Opsonin

60. PAMP

A researcher is interested in whether participating in sports positively influences self-esteem in young girls. She identifies a group of girls who have not played sports before but are now planning to begin participating in organized sports. The researcher gives them a 50-item self-esteem inventory before they begin playing sports and administers the same test again after 6 months of playing sports. The self-esteem inventory is measured on an interval scale, with higher numbers indicating higher self-esteem. In addition, scores on the inventory are normally distributed. The scores follow. Before After 44 46 40 41 39 41 46 47 42 43 43 45 C. Conduct the appropriate analysis D. Should Ho be rejected? What should the researcher conclude?

Problem Description:

In C write a program that assigns random integers between 1 and 20 to a 5 x 5 two-dimensional array then displays the array with average of each row in a table format and the total of all elements in the array. Also calculate the total of each diagonal, top left to bottom right and top right to bottom left. Display the largest of the diagonal’s totals.

Example of the array:

6          10        3          19        20       

1          17        13        18        1         

18        7          14        9          2

16        11        8          9          10

6          15        5          12        2

Sample output:

                                                Avg.

6          10        3          19        20        ???

1          17        13        18        1          ???

18        7          14        9          2          ???

16        11        8          9          10        ???

6          15        5          12        2          ???

Total of element in array: ????

Total of diagonal, top left to bottom right: ????

Total of diagonal, top right to bottom left: ????

Top right to bottom left diagonal total have the largest value of ???

Requirement:

1. You must submit a function call diagram for the program. Make sure the diagram is legible and submit a pdf or an image file
2. Must use two-dimensional array to calculate total of all elements
3. Must create constants for size of the array
4. Must copy each row into a single dimensional array, pass the single dimensional array to a function to calculate the average of each row. One function only for this requirement.
5. Must use a function to generate a random number
6. Must use a function to find the largest of the two diagonals

4. For this problem, you will need information on the total land area of countries, the % of land area that is arable, and the labor force (employed + unemployed, a measure of how many people are active in a labor market in a country). The World Bank compiles data on each economic variable below: Arable land: http://data.worldbank.org/indicator/AG.LND.ARBL.ZS Total land area: http://data.worldbank.org/indicator/AG.LND.TOTL.K2 Labor force: http://data.worldbank.org/indicator/SL.TLF.TOTL.IN We will focus on two countries: India and Ukraine. a. Compute the ratio of labor (labor force) to arable land (in square kilometers) in India and Ukraine. Which country is land-abundant? Which country is labor-abundant? Please use data from the year 2015. (8 points) b. Suppose there are two products: wheat and textiles. Wheat is land-intensive and textiles are labor-intensive. According to the Heckscher-Ohlin theory of trade, which country would export textiles? Which country would export wheat? (6 points) c. Examine the exports of each country using the following data compiled by MIT: India: https://atlas.media.mit.edu/en/profile/country/ind/ Ukraine: https://atlas.media.mit.edu/en/profile/country/ukr/ Do the exports of each country generally match the predictions of the Heckscher-Ohlin theory of trade? Hint: You may want to toggle HS2 under “depth” on the export diagram to get a better idea of the categories of products the countries export. (8 points)

You plan to make five deposits of $1,000 each, one every 6 months, with the first payment being made in 6 months. You will then make no more deposits. If the bank pays 7% nominal interest, compounded semiannually, how much will be in your account after 3 years? Round your answer to the nearest cent. $ One year from today you must make a payment of $9,000. To prepare for this payment, you plan to make two equal quarterly deposits (at the end of Quarters 1 and 2) in a bank that pays 7% nominal interest compounded quarterly. How large must each of the two payments be? Round your answer to the nearest cent.