The market for apple pies in the city of Ectenia is competitive and has the following demand schedule:

Demand Schedule

Each producer in the market has a fixed cost of $6 and the following marginal cost:

Complete the following table by computing the total cost and average total cost for each quantity produced.

    For questions 2 – 8:  

There are three projects.  Binary variablesX₁, X₂, and X₃are defined as follows:

X_i=     1 if project i is selected, and

X_i=     0 if project i is not selected,           for i = 1, 2, 3.

2. Write a constraint to represent: “At least one of the three projects must be selected”.

3. Write a constraint to represent: “Between project 1 and project 2, exactly one is selected”.

4. Write a constraint to represent: “At most two projects of the three can be selected”.

5. Write a constraint to represent: “Project 2 and project 3 must go together.  That is, it is not allowed to select one while deselect the other”.

6. Write a constraint to represent: “The three projects can not be all selected.  There must be at least one that is not selected”.

7. Write a constraint to represent: “If project 2 is selected, then project 1 must be selected; but if project 2 is not selected, then there is no restriction on project 1”.

8. (Bonus question) Write a constraint to represent: “If project 1 is not selected, then project 2 must not be selected; but if project 1 is selected, then there is no restriction on project 2”.

1. Provide a brief explanation of accuracy and precision. Be sure you use your own words.

2. Which group was the most accurate? Explain your reasoning.

3. Which group had the best precision? Explain your reasoning.

4. Which group had the most consistent experimental results from the three trials? Explain your reasoning.

5. One of these 4 groups had a small gas leak in their experimental setup. Which one do you think it was? Be sure you analyze the experimental results and think about how a gas leak would effect their data.  

The number of customer arrivals at a bank's drive-up window in a 15-minute period is Poisson distributed with a mean of seven customer arrivals per 15-minute period. Define the random variable x to be the time (in minutes) between successive customer arrivals at the bank's drive-up window. (a) Write the formula for the exponential probability curve of x. (c) Find the probability that the time between arrivals is (Round your answers to 4 decimal places.) 1.Between one and two minutes. 2. Less than one minute 3. More than three minutes. 4. Between 1/2 and 3½ minutes. (d) Calculate μx, σ2x , and σx. (e) Find the probability that the time between arrivals falls within one standard deviation of the mean; within two standard deviations of the mean. (Round your answers to 4 decimal places.)

For a company, the cash flow from assests (or free cash flow) projections for the next three years are as follows. After year 3, the company will continue growing at a constant rate of 1.5%. the firm's tax rate is 3% and will maintain a debt-equity ratio of 0.50. the risk-free rate is 3%, the expected market risk premium over the risk free rate is 6%, and the company's equity beta is 1.50. The company's pre-tax cost of debt is 7.5%.

free cash flow
year 1: $15,000
year 2: $20,000
Year 3: $22,000

1. what is cost of equity? (4 decimal places)
2. what is WACC? (4 decimals)
3. compute the FCF in year 3 (no decimals)
4. compute enterprise value of company. (no decimals)
5. If the company has net debt of $50,000, would you buy the equity for $100,000 dollars? (yes or no)

Need step by step solutions and calculations

The following is a set of data from a sample of 11 items

X: 7 5 8 3 6 0 2 4 9 5 8

Y: 1 5 4 9 8 0 6 2 7 5 4

a. Construct a scatter plot using the sample data.

b. Calculate the mean, median variance and coefficient of variation and z-scores for X.

c. Determine the outliers.

d. Determine the quartiles of X.

e. Construct a box plot and determine the shape of X.

f. Is there a relationship between two variables X and Y? Explain.

g. What is the correlation between X and Y?

h. Approximately (Empirical Rule) how many of the data points in a bell-shaped distribution is within 1 standard deviation of the mean.

An instructor is interested in seeing if there is an association between attendance and final grade earned in a freshman level class. He records the number of absences for each student and then whether they pass or fail the class. The results are summarized below.

Construct a 99% confidence interval for the true proportion of students who pass the class Round your sample statistic and confidence limits to three decimal places.
0.
1.
2.

3.

4.

5.

ÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞÞ

b. At a 0.01 significance level, can the instructor conclude that there is a relationship between number of absences and whether the student passes or fails the class? (Note: Round expected counts to the nearest whole number)
1.
2.
3.
4.
5.

​(Present

value of an uneven stream of

payments​)

You are given three investment alternatives to analyze. The cash flows from these three investments are as​ follows:

What is the present value of each of these three investments if the appropriate discount rate is

1111

​percent?

a.  What is the present value of investment A at an annual discount rate of

1111

​percent?

​$nothing  

​(Round to the nearest​ cent.)

Below are 5 participants’ ratings of how likable two comedians were. Based on these data, conduct a related-samples t test to analyze whether likable ratings differ between groups.

A. Write down the null and alternative hypotheses using proper notation

B. Calculate , given estimated standard error = 1.14 (You will earn maximally 3 bonus points if you also show the steps of getting this value 1.14)

C. What is the value of for α = 0.05 with a two-tailed test?

D. Please complete the test by stating your decision as well as your interpretation.

Decision:

Interpretation: