Tshepo and Onalenna are two graduates who were employed by a big company in Pikwe. after gaining some experience, they gace in to the temptation to go it alone. They approached a company consultant in town who advised that they could open their own company with the two as directors sharing 50:50. Their first major business was through a tender for construction of an oil pipeline from Maun to Franscis town. This tender was valued at P50 million. After receiving their first payment, they all over suddenly become spent thrift. They settled for expensive procurement of cars, houses; which they billed on the company. As a consequence taxes bagan to fall due and government pressed them to account for the monies they had received. Fearing they might be prosecuted, they withdraw all the money and migrate to South Africa. The company has been betrayed and so are the employees and the government.

required :

In relation to company law, explain the doctrine of separate legal personality and illustrate the effect of the doctrine on the liability of owners of the company  

Suppose Rialto is the only movie cinema in a small college town, so it is essentially a monopoly for the local movie market. They charge a certain price P for a monthly pass. There is an overall demand curve for movie passes, given by P=900−4Q However, demand in the town has two distinct consumer groups: adults (A) and students (S). The demand for the whole group of adults is given by P=1200−8QA and the inverse demand for students is given by P=400−2QS Assume for simplicity that the constant marginal cost MC(Q) of showing a movie is 20 and there are no additional fixed costs.

(e)Calculate the profit-maximizing quantities and prices for students and adults.

(f) Calculate total costs, revenues, and profits resulting from these values.

(g) Show this in your figures graphically, as well

(h) Compare total profits in (b) with (f). Which is greater. Under what circumstances would the ID machine be worth it (that is, for what values of $M)?

Roberds Tech is a for-profit vocational school. The school bases its budgets on two measures of activity (i.e., cost drivers), namely student and course. The school uses the following data in its budgeting:

In March, the school budgeted for 1,840 students and 81 courses. The school's income statement showing the actual results for the month appears below:

Required:

Prepare a flexible budget performance report showing both the school's activity variances and revenue and spending variances for March. Label each variance as favorable (F) or unfavorable (U). (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Roberds Tech is a for-profit vocational school. The school bases its budgets on two measures of activity (i.e., cost drivers), namely student and course. The school uses the following data in its budgeting:

In March, the school budgeted for 1,840 students and 81 courses. The school's income statement showing the actual results for the month appears below:

Required:

Prepare a flexible budget performance report showing both the school's activity variances and revenue and spending variances for March. Label each variance as favorable (F) or unfavorable (U). (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

1. (8 pts) The superintendent of a large school district speculated that high school students involved in extracurricular activities had a lower mean number of absences per year than high school students not in extracurricular activities. She generated a random sample of students from each group and recorded the number of absences each student had in the most recent school year. The data are listed below. Test the superintendent’s claim at the α=.01 significance level. [To receive full credit, your response should be sure to state your hypotheses, check the relevant requirement(s), find a test value, find a critical value or p-value (either is OK), make your decision, and state your conclusion.]

Students in EC Activities: 4 1 2 0 5 6 2 1 0 3 0 1 1 4 8 6 9 2 0 4 2 10 5 6 1

Students not in EC Activities: 5 7 0 9 4 3 12 8 4 2 0 5 5 4 9 14 6 10 9 6 3

The Classical School of economic thinking is quite different from the Keynesian School. The adherents believe in different roles for government and have different ideas about what drives an economy and even what an economy is and how it functions. Explain the two approaches for the following scenarios (be sure to think of monetary policy, fiscal policy, effects on the components of GDP, and incentives people may face):

The economy is in a recession.

The Federal Reserve Board has decided to lower interest rates below what many consider to be the proper or natural rate.

Some policy makers are advocating an inflationary policy to address unemployment.

Senator R has proposed a law exempting credit card purchases and interest on credit debt from taxes to stimulate consumption.

The superintendent of a large school district speculated that high school students involved in extracurricular activities had a lower mean number of absences per year than high school students not in extracurricular activities. She generated a random sample of students from each group and recorded the number of absences each student had in the most recent school year. The data are listed below. Test the superintendent’s claim at the α=.01 significance level. [To receive full credit, your response should be sure to state your hypotheses, check the relevant requirement(s), find a test value, find a critical value or p-value (either is OK), make your decision, and state your conclusion.]

Students in EC Activities: 4 1 2 0 5 6 2 1 0 3 0 1 1 4 8 6 9 2 0 4 2 10 5 6 1

Students not in EC Activities: 5 7 0 9 4 3 12 8 4 2 0 5 5 4 9 14 6 10 9 6 3

2) Bon Air Elementary School has 300 students. The principal of the school thinks that the average IQ of students at Bon Air is 110. To prove her point, she administers an IQ test to 20 randomly selected students. Among the sampled students, the average IQ is 107 with a standard deviation of 6, suggesting that the average IQ is lower than she thought. Based on these results, should the principal accept or reject her original hypothesis? Assume a significance level of 0.01.

a) Write the appropriate hypotheses. Be sure to define any variables you introduce.

b) Find the P-value. Use your calculator.

c) State your conclusions.

Fremont High School has 2100 students. One of the statistics teachers at the school is interested in whether an intervention program based on self-management improves attendance. They randomly choose 80 students and randomly assign half of them to either an experimental condition (self- management class) or a control condition (distractor class on popular culture). At the end of the semester, they measure the number of days missed for each student. The teacher expects that the students in the self-management class will be absent for fewer days than the control group.

1) What is the population in this experiment?

2) What is the sample in this experiment?

3) What is the response variable in this experiment?

4) If the teacher calculates the average number of absences for the group of 80 students, then that average would be a______. A. Parameter B. Statistic

5) If the teacher calculates the average number of absences from all the 2100 students, then that average would be a_______. A. Parameter B. Statistic

6) The teacher records the number of absences for each student. This record is her______.

Number of absences is a______.

A. data; continuous B. data; discrete

7) Number of absences is a______.

A. Ratio B. Interval C. Nominal D. Ordinal

Part a

The Bogue High School Gift Shop purchases sweatshirts emblazoned with the school name and logo from a vendor in Montego Bay at a cost of $2,000 each. The annual holding cost for a sweatshirt is calculated as 1.5% of the purchase cost. It costs the Gift Shop $500 to place a single order. The Gift Shop manager estimates that 900 sweatshirts will be sold during each month of the upcoming academic year.

i) Determine the highest number of shirts that should be purchased by the Gift Shop in order to minimize stock administration costs.

ii) What is the number of orders to be placed each year?

iii)Compute the average annual ordering cost

iv) Compute the average annual carrying cost

v) Compute the total stock administration cost

Part b The maximum sale for the Gift Shop for any one week is 300 sweatshirts and minimum sales 150 sweatshirts. The vendor takes anywhere from 2 to 4 weeks to deliver the merchandise after the order is placed. Using the EOQ policy, determine the re-order level, minimum inventory level and maximum inventory level for the business