TropSun is a leading grower and distributer of fresh citrus products with three large citrus groves scattered around central Florida in the cities of Orlando, Eustis, and Winter Haven. TropSun currently has 275,000 bushels of citrus at the grove in Mt. Dora, 400,000 bushels at the groves in Eustis, and 300,000 bushels at the grove in Clermont. TropSun has citrus processing plants in Ocala, Orlando, and Leesburg with processing capabilities to handle 200,000, 600,000, and 225,000 bushels respectively. TropSun contracts with a local trucking company to transport its fruit from the groves to the processing plant. The trucking company charges a flat rate for each mile that each bushel of fruit must be transported. Each mile a bushel of fruit travels is known as a bushel-mile. The following table summarizes the distances (in miles) between the groves and processing plant.

TropSun wants to determine how many bushels to ship from each grove to each processing plant to minimize the total number of bushel-miles the fruit must be ship. [ Another way to put it, MINIMIZE the TRANSPORTATION costs of the bushel-miles from the groves to the Plants] (30 Points) HINT: What decision variables can change.

1. Define the decision variables.

2. Define the Constraints

3. Implement and Solve the Problem in Excel

4. Analyze the Solution, what is it telling the decision maker?

C# programming

This application will calculate the speed of an interstellar spacecraft as it accelerates though our galaxy to explore the stars. The spacecraft is using a new engine technology that continues to accelerate over time with no limit, allowing the spacecraft to reach distant areas of the galaxy at record speed. The spacecraft starts out slowly, but for each day it accelerates, it will double the speed it has attained prior to that point. The spacecraft will accelerate from 0 MPD (Miles Per Day) at launch to 1000 MPD by the end of the first day, and will have covered 500 miles (average speed of (0 + 1000)/2= 500). At the end of day two, it will be up to 2000 MPD (double day one's speed), and will have covered 2000 miles total (the previous day’s 500 miles plus the new day’s average of (1000+2000)/2)). Create an app that allows the user to enter the number of days the spacecraft has been traveling and your app will use the formulae given, plus some looping code, to tell the user what the speed of the spacecraft is (in MPD) at the end of that day. Your app will also calculate the total distance traveled by the spacecraft to the end of that day (also done with the fomulae and some looping code). Create a form with the appropriate controls to get the user input and display the answers correctly. Ensure you do proper data validation so that any mistakes the user makes entering data do not crash the program or create/allow strange results

The levels of combustible species in the exhaust of a direct-injection diesel engine are: HC, 0.8
g/kW.h; CO, 3 g/kW.h; particulates, 0.7 g/kW.h. If the specific fuel consumption is 210
g/kW. h calculates the combustion efficiency

-

for the transition matrix P= 0.8 0.2 0.0 , solve the equation SP=S to find the stationary matrix S and the limiting matrix P.

0.5 0.1 0.4

0.0 0.6 0.4

A consumer has the following utility function ?(?, ?) = ?^0.2 ?^0.8

and Income=$800, Px =2, Py =4
Note that ??? = 0.20 (y/x)^0.80 and ??? = 0.8 (x/y)^0.20

a) Find the initial equilibrium (x, y, U)
b) Assume that Px increases by 20% and Py decreases by the same percentage.

Find the new equilibrium (x, y, U).
c) Find the income and substitution effects of the above price changes.

A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately

mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers.

(a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μ_males − μ_females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.)

(b) Do these data provide convincing support for the claim that, on average, male teenage drivers exceed the speed limit by more than do female teenage drivers?

Yes

No    

Fire Damage: A fire insurance company is interested in investigating the effect of the distance between the burning house and the nearest fire station (miles) on the amount of fire damage (thousands of dollars) in major residential fire. A random sample of 15 recent fires in a suburb is selected. The data set can be found in the excel file Fire with variables name Distance and Damage. Source: McClave, J. & Sincich, T. (2015). Statistics. (12th edition). M. A.: Pearson.

Part 1: Describe a scatterplot to learn the association between the distance between the burning house and the nearest fire station (miles) and the amount of fire damage (thousands of dollars) in major residential fire. (36 points total, 9 points each criterion)

Direction of association:

Form of association:

Strength of association:

Presence of outlier:

Note: Save R codes, outputs, and scatterplot on your machine for future reference

Part 2: Interpret regression parameters in context: (44 points total, 22 points each parameter)

Interpretation of y-intercept (b_0):

Interpretation of slope of regression line (b_1):

Note: Save R code and output on your machine for future reference

Part 3: Interpret the coefficient of determination (R^2) in context: (20 points)

Interpretation:

Note: Save R code and output on your machine for future reference

Distance Damage
1   3.4   26.2
2   1.8   17.8
3   4.6   31.3
4   2.3   23.1
5   3.1   27.5
6   5.5   36.0
7   0.7   14.1
8   3.0   22.3
9   2.6   19.6
10   4.3   31.3
11   2.1   24.0
12   1.1   17.3
13   6.1   43.2
14   4.8   36.4
15   3.8   26.1

50-1/1

Assuming competitive markets with typical supply and demand curves, which of the following statements is correct?

• An increase in demand with no change in supply will result in an increase in sales.

• An increase in supply with no change in demand will result in an increase in price.

• An increase in supply with a decrease in demand will result in an increase in price.

• An increase in supply with no change in demand will result in a decline in sales.

53.1/1

Refer to the given consumption schedules. DI signifies disposable income and C represents consumption expenditures. All figures are in billions of dollars. The marginal propensity to consume in economy (1) is

• 0.7.

• 0.5.

• 0.3.

• 0.8.

1. (a) If A and B are independent events with P(A) = 0.6 and P(B) = 0.7, find P (A or B).

(b) A randomly selected student takes Biology or Math with probability 0.8, takes Biology and Math with probability 0.3, and takes Biology with probability 0.5. Find the probability of taking Math.

2. A box contains 4 blue, 6 red and 8 green chips.

1. In how many different ways can you select 2 blue, 3 red and 5 green chips? (Give the exact numerical value).

2. Draw two chips in a row without replacement. Find the probability that both chips are green.

3. Based on the following table, compute the probabilities below:

P (Women and Yes) =

P (Men | Yes) =

P (No | Women) =

P (Men or No) =

Are Men and No Opinion mutually exclusive?

Are Men and No Opinion independent? Justify your answer by an appropriate computation.

The following is the recent historical sales of Sony HDTV at a local BestBuy store.

• Solution inputs are numbers only, no symbols or letters such as "$, (2.3), dollar".
• Numbers can be in the format of either 3000 or 3,000; 0.95 or .95
• Keep two decimals if not exact, do not round. For example, 3.24923... will be kept as 3.24, but the exact value of 0.625 will be kept as 0.625

1. Use the naive approach to forecast sales for June.  
2. Use a 4-month simple moving average to forecast sales for June.  
3. Using weighted moving average method, with weights of 0.5 one period ago, 0.3 two periods ago, and 0.2 three periods ago, to forecast sales for June.  
4. Assuming the forecast for April is 60. Use exponential smoothing, with a smoothing constant of 0.2, to forecast sales for June.  
5. Use simple linear regression y=a+bx, to first calculate the parameter value of b , then the parameter value of a  , and finally to forecast sales for June.  

Please evaluate Forecasting Method A, in terms of MAD and TS, based on the following forecasted sales, comparing to the realized actual sales.

• Solution inputs are number and letter only, no symbols such as "A., or (2.3)"
• Numbers can be in the format of either 3000 or 3,000; 0.95 or .95; negative number should be in the format of -0.8 instead of (0.8).
• Keep two decimals if not exact, do not round. For example, 3.24923... will be kept as 3.24, but the exact value of 0.625 will be kept as 0.625

1. The MAD value of forecasting method A is:  
2. The TS value of forecasting method A is:  
3. If another forecasting method B has the MAD = 4, and TS = 0.2, then which forecasting method (A or B) is better in terms of MAD value?   and which forecasting method (A or B) is better in terms of TS value?