1.       The Green Cab Company has a taxi waiting at each of four cabstands in Evanston, Illinois. Four customers have called and requested service. The distances, in miles, from the waiting taxis to the customers are given in the following table. Find the optimal assignment of taxis to customers so as to minimize total driving distances to the customers. Please show all steps/work

Packard Company engaged in the following transactions during Year 1, its first year of operations. (Assume all transactions are cash transactions.)

1. 1) Acquired $1,100 cash from the issue of common stock.
2. 2) Borrowed $570 from a bank.
3. 3) Earned $750 of revenues cash.
4. 4) Paid expenses of $280.
5. 5) Paid a $80 dividend.

During Year 2, Packard engaged in the following transactions. (Assume all transactions are cash transactions.)

1. 1) Issued an additional $475 of common stock.
2. 2) Repaid $325 of its debt to the bank.
3. 3) Earned revenues of $900 cash.
4. 4) Incurred expenses of $420.
5. 5) Paid dividends of $130.

What is the amount of Packard Company's net cash flow from financing activities for Year 2?

• Net outflow of $455.

• Net outflow of $325.

• Net inflow of $345.

• Net inflow of $20.

2.   Four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. Here is their willingness to pay for each film:

Judd Joel Gus Tim

first film $ 7 $ 5 $ 3 $ 2

second film 6 4 2 1

Third film 5 3 1 0

Fourth film 4 2 0 0

fifth film 3 1 0 0

d. Is there any way to split the cost to ensure that everyone benefits? What practical problems does this solution raise?

e. Suppose they agree in advance to choose the efficient number and to split the cost of the movies equally. When Judd is asked his willingness to pay, will he have an incentive to tell the truth? If so, why? If not, what will he be tempted to say?

f. What does this example teach you about the optimal provision of public goods?

Programming Language: JAVA

In this assignment you will be sorting an array of numbers using the bubble sort algorithm. You must be able to sort both integers and doubles, and to do this you must overload a method.

Bubble sort work by repeatedly going over the array, and when 2 numbers are found to be out of order, you swap those two numbers.

This can be done by looping until there are no more swaps being made, or using a nested for loop, meaning the array of length n is checked n² times.

Sample Run #1

Please enter the # of numbers to be sorted: 4

Enter 1 for int's or 2 for doubles: 2

Enter number: 4

Enter number: 3

Enter number: 2

Enter number: 1

3.0, 4.0, 2.0, 1.0

3.0, 2.0, 4.0, 1.0

2.0, 3.0, 4.0, 1.0

2.0, 3.0, 1.0, 4.0

2.0, 1.0, 3.0, 4.0

1.0, 2.0, 3.0, 4.0

Problem 3-22

Two independent methods of forecasting based on judgment and experience have been prepared each month for the past 10 months. The forecasts and actual sales are as follows:

a. Compute the MSE and MAD for each forecast. (Round your answers to 2 decimal places.)

b. Compute MAPE for each forecast. (Round your intermediate calculations to 5 decimal places and final answers to 4 decimal places.)

In C++

Design a program to calculate the stock purchasing and selling transactions.

1. ask the user to enter the name of the stock purchased, the number of share purchased, and the price per share purchased

2. assume the buyer pays 2% of the amount he paid for the stock purchase as broker commission

3. assume that the buyer sold all stocks. Ask the user to enter the price per share sold.

4. assume the buyer will pay another 2% of the amount he received for selling the stock as broker commission

the program will calculate and display:

1. the amount of money he paid for the stock purchase

2. the amount of commission he paid to the broker for purchase transaction

3. the amount he sold the stock for

4. the amount of commission he paid to the broker for purchase selling

5. the possible profit he made after selling his stock and paying the two commissions to the broker

Requirements:

1. program well documented

The following ANOVA table and accompanying information are the result of a randomized block ANOVA test.

Summary           Count                 Sum                    Average             Variance

1                         4                         443                     110.8                           468.9

2                         4                         275                     68.8                           72.9

3                         4                         1,030                  257.5                           1891.7

4                          4                         300                     75.0                           433.3

5                         4                         603                     150.8                           468.9

6                         4                         435                     108.8                           72.9

7                         4                         1,190                  297.5                           1891.7

8                         4                         460                     115.0                           433.3

Sample 1           8                         1,120                  140.0                           7142.9

Sample 2            8                         1,236                  154.5                           8866.6

Sample 3           8                         1,400                  175.0                           9000.0

Sample 4           8                         980                     122.5                           4307.1

ANOVA

Source of

Variation            SS                        df          MS                      F                          p-value               F-crit

Rows                  199,899              7            28557.0              112.8                  0.0000                2.488

Columns             11,884                3            3961.3               15.7                    0.0000                3.073

Error                   5,317                  21         253.2

Total                   217,100              31        

1. How many blocks were used in this study?
2. How many populations are involved in this test?
3. Test to determine whether blocking is effective using an alpha level equal to 0.05
4. Test the main hypothesis of interest using α=0.05.
5. If warranted, conducted an LSD test with α=0.05 to determine which population mean are different.

a) gravimetric analysis is very useful for routine monitoring of ions present in relatively high concentrations. why is gravimetric analysis not used for determining trace amounts of ions?

b) from .323g of an unknonw sample of M_xCL_y, .523 g AgCl was recovered using gravimetric analysis employed in this experiment. what is the percentage of Cl- in the unknown sample? what is the theoretical molat wieght of metal in the chlorite salt sample M_xCl_y for hte following given:

1. x=1, y= 1

2. x=1, y=2

c. x=2, y=4

Suppose that 1/2 of all cars sold at a Nissan dealer in a given year are Altimas, 1/3 are Maximas, and the rest are Sentras. Suppose that 3/4 of the Altimas, 1/2 of the Maximas, and 1/2 of the Sentras have a moon roof. Answer the following questions. For each question, first decide whether the probability is a conditional probability or not.

1. What is the probability a randomly selected car has a moon roof?

2. What is the probability that a randomly selected car has a moon roof given it is a Sentra?

3. What is the probability a randomly selected car is a Maxima if it has a moon roof?

A consumer has an income R. She can choose between two goods: wine and beer. Lets assume the price of a glass of wine (Pw) is three and the price of a glass of beer (Pb) is two. We denote the consumption of wine as Xw and the consumption of beer Xb Write the budget constraint of the consumer. Compute the slope of the budget line and represent it on a graph. The following tables give the different bundles of goods w and b, giving a utility level U(w,b) = 12.5, U(w,b) = 18 and U(w,b) = 24.5 (b) (4 points) Draw the three indifference curves. Given their shapes, would you say that wine and beer are complementary goods or substitute goods? What should be the impact of an increase of Pb on the demand for wine? (c) (4 points) Define and explain the concept of marginal rate of substitution. Com- pute the marginal rate of substitution if the consumer has the utility function of the form: U(Xw,Xb)=(Xw +4)(Xw +Xb) (d) (4 points) What is the value of the MRS at the optimum? What is the optimal bundle for this case? To reduce the public deficit, the government decided to double the tax on beer. Lets assume the price of beer goes from two to three. The price of wine remains the same. (e) (4 points) What is the new opportunity cost of a glass of beer? Using a graph, show the effect of this tax on the optimal decision of the consumer.

Lets assume now that the consumer can choose between beer and champagne. The table below gives the optimal quantity of beer and champagne depending on the level of income.

(4 points) Draw the Engel curves for each of the goods. (g) (4 points) Given the shape of the Engel curves, what can you say about each of the goods? (h) (4 points) If the consumer’s income decreased because of the coronavirus crisis, what would happen to the demand for beer?