Given a closed, private economy where aggregate demand (AD) can be represented as AD = c0 + c1Y + I0 where c0 is autonomous private consumption, c1 is the marginal propensity to consume, I0 is autonomous business investment, and Y is national income.Central banks conduct monetary policy. Explain how through their conduct of monetary policy central banks can influence the level of economic activity in an economy.

Given the following data for a hypothetical closed economy:

1. Fill-in the table.

2. Determine the Breakeven for the economy.

3. Determine the equilibrium GDP for the economy.

4. Calculate the expenditure multiplier.

5. Now suppose that the potential GDP equals 440, by how much should the government purchases or tax change to reach the potential GDP.

6. saving equations. (show your work)

We have a region occupied by a homogeneous isotropic dielectric with a relative

permeability of ?? = 1 and a relative permittivity of ?? = 4. In this region, the electric field has a value;

?⃑ = ?̂(-4/R^2) ?????/?????

where ?̂ is the radial unit vector, and ? is the distance from the origin. The current density ? is zero everywhere. The electric field is constant (static) in time. Point A is on the z-axis at position (? = 0, ? = 0, ? = −2 ??????); point B is on the z-axis at (? = 0, ? = 0, ? = +4 ??????) and point C is at (? = +1 ?????, ? = +1 ?????, ? = +1 ?????). The voltage at infinity is set to zero. Finally, you are given a closed contour ?1 which forms a closed circle with its center at the origin and a radius of 1 ????? in the x-y plane. Answer the following questions and state the correct units:

(a) State (in English, no equations), what is the definition of the electrostatic potential (voltage)

between two points. State what units this potential is given in terms of the following standard

units; meters, kilograms, seconds, Joules, and Coulombs.

(b) What is the value of the path integral of the electric field around closed contour ?1?

(c) If we construct a sphere with a radius of ? = 2 ??????, and place this sphere at the point

?(? = +1, ? = +1, ? = −1). Calculate the volume integral of the divergence of the electric

field intensity ∫ ? ∙ ?⃑?v over this volume. State the correct units.

(d) What is the total flux of the electric field ∮s1 ?⃑ ∙ ??⃑1 through the closed surface ?1 surrounding this volume?

(e) Is the voltage at point C greater than, less than, or equal to zero? Write down the relevant path integral and explain your reasoning.

(f) Where is the divergence of the electric field intensity ?⃑ not equal to zero?

(g) Find the exact value of ?(?) − ?(?) by sketching the x-z coordinate plane system, performing

the appropriate path integral, and showing the path taken step-by-step. No credit will be given

for any other technique of obtaining an answer.

(h) What is the curl of the magnetic field intensity ∇ × ?⃑ at the origin (? = 0, ? = 0, ? = 0)? Write down the relevant equation and explain your reasoning.

(i) What is the work that we would have to perform to move a charge of ? = −3 ???????? from point C to infinity (∞)?

(j) Where does the divergence of the magnetic flux density ?⃑⃑ not to zero?

BUSI 230-Project 3

1. a) Submit a copy of your dataset along with a file that contains your answers to all of the following questions.

b) What the mean and Standard Deviation (SD) of the Close column in your data set?

Mean: 1198.26

Standard Deviation: 85.39

c) If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: You do not want to calculate the mean to answer this one. The probability would be the same for any normal distribution. (5 points)

2. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at more than $1150? (5 points)
3. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed within $50 of the mean for that year? (between 50 below and 50 above the mean) (5 points)
4. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than $950 per share. Would this be considered unusal? Use the definition of unusual from the course textbook that is measured as a number of standard deviations (5 points)
5. At what prices would Google have to close in order for it to be considered statistically unusual? You will have a low and high value. Use the definition of unusual from the course textbook that is measured as a number of standard deviations. (5 points)
6. What are Quartile 1, Quartile 2, and Quartile 3 in this data set? Use Excel to find these values. This is the only question that you must answer without using anything about the normal distribution. (5 points)
7. Is the normality assumption that was made at the beginning valid? Why or why not? Hint: Does this distribution have the properties of a normal distribution as described in the course textbook? Real data sets are never perfect, however, it should be close. One option would be to construct a histogram like you did in Project 1 to see if it has the right shape. Something in the range of 10 to 12 classes is a good number. (5 points)

There are also 5 points for miscellaneous items like correct date range, correct mean, correct SD, etc.

On October 20, 2020, Kevin Mason, President of Tropicane Juice is reviewing the financial statements of Sunnydee, a potential acquisition candidate for the company. Tropicane is an American company, which produces and distributes juice throughout North America. It is in juice production and is interested in getting into the Canadian market. Sunnydee is a Canadian company that produces similar juice products and sells these across Canada. Tropicane is a public company and Sunnydee is a private company. Sunnydee is owned by the local area farmers and was originally started as a co-operative. Of the 1,000,000 shares outstanding, 600,000 are owned by the founder of the company, Mr. S. The rest are owned by various employees. Sunnydee has a perpetual debt with a par value of $5 million and coupon rate of 6 percent. However, interest rates have decreased and now the debt has a 4 percent yield-to-maturity. Annual before-tax before-interest operating cash flows for the year just ended were $3 million. The corporate tax rate was 20 percent. Assume perpetual operating cashflows for Sunnydee’s future cashflows. Tropicane has return on equity of 12.24%, debt-to-equity ratio of 40%, and yield to maturity of 3% on its outstanding debt.

a) What do you think is the maximum acquisition price that Mr. Mason is willing to pay for acquiring Sunnydee?

b) Compute weighted average cost of capital for Sunnydee.

In 2020, the Alnoor Company purchased from Hamoorthe right to be the sole distributor in Muscat governance of a product called Zelenex in 2021.

Alnoor reports inventory using the periodic FIFO assumption. Late in 2021, the following information is available concerning the inventory of Zelenex:

By the end of the year, the purchase price of Zelenex had risen to $40 per unit. On December 28, 2021, three days before year-end, Alnoor is in a position to purchase 20,000 additional units of Zelenex at the $40 per unit price. Due to the increase in purchase price, Alnoor will increase the selling price in 2022 to $80 per unit. Inventory on hand before the purchase, 15,000 units, is sufficient to meet the next six months’ sales and the company does not anticipate any significant changes in purchase price during 2022.

REQUIRED:

a)      Determine the effect of the purchase of the additional 20,000 units on the 2021 gross profit from the sale of Zelenex and the payment due to Hamoor? Show calculations and explanations?

b)     Assume that during 2022 Alnoor Company bought 50,000 units of Zelenex with the new purchase price, and 40% of units available for sale had been sold. Calculate the gross profit for the company for the year 2022. Show calculations and explanations?