1. In the short-run, Joe’s metal roofing company has a 2,000 square foot shop, two roll-forming metal machines, 5 employees, and two part time employees.

Table 1

1. Define economies of scale and draw a graph to help your explanation.
2. If Joe decides to increase his long-run output, why might we expect average total costs to increase? Use a graph to help explain.

Write a program in C which randomly generates two integers X and Y between 10 and 50, and then creates a dynamic array which can hold as many numbers as there are between those two random numbers. Fill the array with numbers between X and Y and print it on screen. Do not forget to free the allocated memory locations whenever they are no longer needed.

Example:

Randomly generated numbers are: 43 23

Expected Output :

23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43

Great Eastern Credit Union (GECU) has two operating departments (Branches and Electronic) and three service departments (Processing, Administration, and Maintenance). During July, the following costs and service department usage ratios were recorded:

Required:

Allocate the service department costs to the two operating departments using the reciprocal method.

You are the manager of a new primary care clinic located about twenty five (25) miles outside of a small city (population of 50,000). With five (5) family physicians, two (2) nurse practitioners, two (2) physicians’ assistants (PAs), and twenty (20) clinical support staff consisting of RNs, LPNs, and CMAs, the clinic provides primary care services to a diverse community of people living and working outside the city limits. Originally a rural area, the community has been growing and now includes promising opportunities in employment, education, and comfortable living spaces for young families. However, there are still many residents who struggle to make ends meet with older farms that have belonged to families for generations.   

The central city includes two (2) large acute care facilities, and one (1) tertiary care facility that is known for its excellent pulmonary care. Both acute care hospitals provide the usual services such as labor and delivery, outpatient surgery, chronic diseases care, etc. and have fully equipped ancillary departments, such as lab and radiology. Up until this point, the residents have used the facilities’ emergency departments for routine illnesses and conditions when their private physicians were not readily available.

Write a five to seven (5-7) page paper in which you:

Analyze some of the key social, political, and economic factors that have led to the proliferation of urgent care facilities and primary care practices over the last 20-30 years.

Create a comprehensive mission statement for the clinic, and discuss how it will facilitate the provision of quality services.

Analyze and discuss one (1) or more directions the clinic might take to grow its business. Determine what factors you would consider when deciding what services to provide in-house and which ones to affiliate with other institutions.

Decide how you will determine if the clinic is meeting its goals. Identify three (3) performance measurements you could use to evaluate the success of the clinic’s services. Begin by naming a goal, and then identify a quantifiable measurement you could use for each to determine if you are coming close or falling short of the goal.

Determine how you would then address whatever opportunities for improvement seem to exist and what processes you would put in place.

Use at least three (3) quality resources in this assignment. Note: Wikipedia and similar Websites do not qualify as quality resources.

Format your assignment according to the following formatting requirements:

Typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.

Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the Poisson distribution. Provide answers to the following to 3 decimal places.

Part a)

What is the probability that exactly two customers arrive in a minute?



Part b)

Find the probability that more than three customers arrive in a two-minute period.



Part c)

What is the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute?

question c is not 0.442

The following is a sample of 20 measurements.

10 7 6 12 11 9 8 13 11 11 12 6 8 7 15 9 12 6 10 10

Compute the Sample mean (x), Sample variance (s² ), and the Sample standard deviation (s).

(round to two decimal places)

Count the number of measurements in the intervals

x ±s​, x ±2s​, x ±3s.

Express each count as a percentage of the total number of measurements.

Spurious correlation refers to the apparent relationship between variables that either have no true relationship or are related to other variables that have not been measured. One widely publicized stock market indicator that is an example of spurious correlation is the relationship between the winner of a major sports championship and the performance of a stock index in that year. The​ "indicator" states that when a team from a particular conference wins the​ championship, the stock index will increase in that year. Since the first championship was​ held, the indicator has been correct 44 out of 56 times. Assuming that this indicator is a random event with no predictive​ value, you would expect that the indicator would be correct​ 50% of the time.

a. What is the probability that the indicator would be correct 44 or more times in 56 years?

b. What does this tell you about the usefulness of this indicator?

Consider the following kinetic data for an enzyme. Construct both an M&M and Lineweaver-Burke plots using this data. Estimate the Km and Vmax from both graphs and compare the values. Discuss any differences you see between the numbers you derive from the two different plots.

A firm is considering two projects, A and B, with the following probability distributions for profit.

Profit ($1,000s). Project A Probability (%)   Project B Probability (%)   

$20 10 10

40 15 15

60 50 25

80 15 40

100 10 10

a. Compute the expected value of project A (in $1,000s).

b. Compute the variance of project A (in $1000s).

c. Compute the expected value of project B (in $1000s).

d. Which project would be selected if an analysis of variance rule were applied?

e. Which project would a risk-neutral manager select?

f. Report the coefficients of variation (?

The frequency table for daily sales of 100 a sale unit is given below: daily 10 - 19 20 - 29 30 – 39 40 - 49 50 - 59 60 - 70 sales No . sale 4 15 27 26 18 10 unit a) Construct a histogram, polygon of daily sales b) Describe the shape of the frequency distribution. c) Draw an ogive of daily sales, and use it to estimate, the median. e) Estimate the following statistical measures 1. Mean 2. Median 3. Mode 4. Range 5. 15th percentile 6. Interquartile Range 7. Variance 8. Standard deviation 9. Coefficient of variation.