Fork Motor Company is an automobile manufacturer operating in the US.

It has divided its market into three regions and has built three regional distribution centers (RDC) to serve these markets. The RDCs are located in California, Florida and Texas.

The annual demand at each regional distribution center is estimated as follows and the company wants to meet all the demand.

- RDC – California: 1.5M automobiles (i.e., 1.5 million)

- RDC – Florida: 0.5M automobiles

- RDC – Texas: 1M automobiles

Fork Motor has two plants in Michigan and Nevada and wants to distribute the automobiles to the RDCs at the lowest cost. So they need to decide how many cars to ship from each of the plants to each of the RDCs to achieve minimum cost. You are asked to model and solve this allocation problem.

Below, you are given the shipping distance between Fork Motor’s facilities in miles.

The head of supply chain informs you that you need to consider the capacity limits of the plants. The Michigan plant is much larger than the one in Nevada. He adds that the capacity limits are as follows:

- Plant – Michigan: 2.5M

- Plant – Nevada: 0.7M

The company estimates that transportation of each car will cost 8.53 dollars per mile.

What is the minimum cost of shipping cars to RDCs in million dollars?

The following ratios have been calculated for MORT Oil and Gas Company for two years 2019-2018.

Instructions:

You are an analyst and investors ask you to analyze the capital structure, long-term solvency, and profitability of Al MORT Oil and Gas Company, and give them a feedback regarding the decision to invest in this company or not.

In a bird species, the shape of the beak is encoded by ONE SINGLE locus with TWO co-dominant alleles N^a and Nz. N^a gives long beak in double dose, while individuals who are homozygous for N^z have short beak.

In a population, the following genotype frequencies were observed:

N^a N^a = 0.5
N^a N^z = 0.3
N^z N^z = 0.2

a) Assume a total of 600 individuals in the population. Set up a hypothesis, will the frequency be in Hardy-Weinberg equilibrium?

b) Use an x2 test to find out if the allele frequency is in Hardy-Weinberg equilibrium or not.

According to what I´ve heard we can´t use the frequencies listed, but instead the allel frequence:

p = 0.5 + ½ * 0.3 = 0.65

1. The number of fishing rods selling each day is given below. Perform analyses of the time series to determine which model should be used for forecasting. (10 points) a. 3 day moving average analysis b. 4 day moving average analysis c. 3 day weighted moving average analysis with weights w1=0.2, w2=0.3 and w3=0.5 with w1 on the oldest data d. exponential smoothing analysis with a = 0.3. e. Which model provides a better fit of the data? f. Forecast day 13 sales of fishing rods using the model chosen in part (e). Day Rods sold 1 60 2 70 3 110 4 80 5 70 6 85 7 115 8 105 9 65 10 75 11 95 12 85

Use the following information to evaluate whether or not you should buy stock A.

                           Stock A                                                                      S&P 500

              Probability                       Return                              Probability         Return

                  0.1                                   -100%                                 0.3                      -30%

                  0.2                                    -10%                                  0.4 15%

                  0.6                                    18%                                  0.3 40%

                  0.1                                   130%

The current yield on the 10-year Treasury Note (risk-free rate) is 3.3%. The correlation between Stock A and the market is 0.53.

Hint One – Remember that the S&P 500 represents the market and that you can use the two probability distributions above to get the expected return and standard deviation for both Stock A and for the market (round calculations to 2 decimal places in percentage terms).

Hint Two – You will use the SML to get the required return and you will need to calculate beta from the data provided (round beta to two decimal places).

Use the following information to evaluate whether or not you should buy stock A.

                                Stock A                                                                                 S&P 500

                Probability                          Return                                  Probability          Return

                    0.1                                         -100%                                      0.3                     -30%

                    0.2                                          -10%                                       0.4                         15%

                    0.6                                          18%                                        0.3                         40%

                    0.1                                         130%

The current yield on the 10-year Treasury Note (risk-free rate) is 3.3%. The correlation between Stock A and the market is 0.53.   Hint One – Remember that the S&P 500 represents the market and that you can use the two probability distributions above to get the expected return and standard deviation for both Stock A and for the market (round calculations to 2 decimal places in percentage terms). Hint Two – You will use the SML to get the required return and you will need to calculate beta from the data provided (round beta to two decimal places).

Find the mean and standard deviation for the following, where possible,if not.explain why it is not.

a. x P(x) b. x P(x) c. x P(x)

0 0.1 -9 0.15 0 0.34

1 0.2 10 0.45 1 0.23

2 0.3 11 0.38 2 0.17

3 0.4   12 -0.21 3 0.26

-4 0.3

d. In a poll of 12 to 18yr. old females, conducted by theNokTerNoh!Magazine editor,Carolyn(Zleep D’Pri’D), found that 27%of them said that they expected to see a female soccer player on a team in the Men’s World Cup within 10 years. A random sample of 12 females from this age group was selected, by use of the formula;findi.P(Exactly 8 females share this view) (4pts)ii.P(Between 5-7 share this view) (6pts)

The Neal Company wants to estimate next year's return on equity (ROE) under different financial leverage ratios. Neal's total capital is $15 million, it currently uses only common equity, it has no future plans to use preferred stock in its capital structure, and its federal-plus-state tax rate is 40%. The CFO has estimated next year's EBIT for three possible states of the world: $4.6 million with a 0.2 probability, $2 million with a 0.5 probability, and $0.3 million with a 0.3 probability. Calculate Neal's expected ROE, standard deviation, and coefficient of variation for each of the following debt-to-capital ratios. Do not round intermediate calculations. Round your answers to two decimal places at the end of the calculations.

Debt/Capital ratio is 60%, interest rate is 14%.

"Using Python, code to find the smallest and largest planet mass (if known), and plot these as two curves against the year of discovery"

Basically looking to use data from an excel sheet where 'disc_year' and 'pl_mass' are columns of data; and code Python to find the maximum value of mass and the minimum value of mass for each year, then plot this as two curves. There are multiple planets for any given year hence multiple values for mass. Below is example of what data might be.

Example data: Mass - 5.5, 0.2, 6, 56, 209, 0.3, 44, 124, 403, 98, 304, 202, 11.7, 5.4, 17.8, 21.9, 603.3, 108.2, 19, 0.3

Year - 2019, 2019, 1994, 2002, 2001, 2016, 1994, 2019, 2002, 2001, 2016, 2015, 2015, 1999, 2002, 1999, 1999, 2015, 2001, 2016

Joseph Biggs owns his own ice cream truck an drives 30 miles from a florida beach resort. The sale of his products is higly dependent oh his location and on the weather. At the resort, his profit will be $120 per day in fair weather, $10 per day in bad weather. At home, his profit will be $70 in fair weather and $55 in bad weather. Assume that on any particular day, the weather service suggests a 40% chance of foul weather.

A) Construct Joseph's decision tree.

B) What is the decision recommended bat the expected value criterion?