1. Depot District Proposal: Staff recommendation is that The Depot District store should be closed. The company is a consistent money loser. Below is a contribution margin income statement for the Depot District store for the past year. Half of the fixed expenses relate to the store’s rent under a 20 year non-cancelable lease. The lease costs cannot be avoided, and the location is not able to be subleased to another company. Perform a side by side comparison. On one side show the results of accepting the recommendation and on the other side show the rejection of the recommendation. Write up your approach to your analysis and your conclusion (your decision and why). Show all your work.

Depot District CM Income Statement

Sales Revenues $1,400,000

Variable Expenses 1,000,000

Contribution Margin 400,000

Fixed Expenses 650,000

Income (loss) $(250,000)

The figure below shows a closed cylinder with cross-sectional area A = 2.60 m².

The upper and lower circular surfaces of a vertically-oriented cylinder are labeled A. Electric field vector E points vertically upward, going up through the lower surface, up through the cylinder, and finally pointing up through the upper surface.

The constant electric field E has magnitude 1.85 ✕ 10³ N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines pass through the curved surface. Calculate the electric flux (in (N · m²)/C) through the cylinder's top and bottom surfaces.

(a) top surface

(b) bottom surface

(c) Determine the amount of charge (in C) inside the cylinder.

C

1. A closed economy is described by the following behavioral functions:

a) Find the equilibrium level of income, the interest rate and the public budget balance.

b) The government wants to reach the full employment income using expansionary fiscal policy. Find the new level of public expenditure and the new equilibrium interest rate.

c) Alternatively, starting in the initial equilibrium (in part a), the central bank decides to achieve the full employment income using expansionary monetary policy. Given P=1, what is the real quantity of money needed to achieve this objective and what is the new interest rate in this case.

According to the simple Keynesian model, state activities belong to a closed economy pages of files in the table:

According to this;
a) Find the level of national income (real product) (Y) that provides balance in the goods market.
b) According to the table, at what level of national income (Y) is the unplanned stock investments (IU) negative? This
What are the inventory investments that are not planned at the national income level? In such a case
Explain how to balance the market.
c) According to the table, at what level of national income (Y) is the unplanned stock investments (IU) positive? This
What are the inventory investments that are not planned at the national income level? In such a case
Explain how to balance the market.

1) Suppose you have a closed rigid container of air at 20 Celsius on the surface of the Earth. We change the temperature of the container to 72 Celsius, leaving it closed, and read a pressure gauge attached to the container. Initially the reading was 101 KPa (kilopascals, or 1000 N/m2). What is the new reading? Give your answer in KPa.

2)

Match these sounds with the sound energy in dB (decibels).

Consider a closed economy’s money market.

a) Briefly define money supply and explain the measures of M1 and M2. What is a reserve requirement? Write down the formula for the money multiplier.

b) Write down the formula associated with the quantity theory of money. Define all variables and comment how a 10% decrease in money supply would affect the economy using this theory. As a result, how much would the economy’s real GDP change?

1. Consider the Aggregate Expenditure Model (AKA the Multiplier Model where prices are fixed) for a closed private economy.  What are the categories of expenditure? What determines the slope of the AE function? Why is the intersection of the AE and the 45-degree line the equilibrium? To answer the last part tell me what is happening with inventories if you are at a GDP level below the equilibrium and why that pushes the economy toward equilibrium.

2. What are the leakages and injections in the scenario from #1 and what equation holds between them in equilibrium?  

3. Now assume that we have an MPC of .8 and the economy in # 1 faces a sudden investment expenditure increase of $100.  If the initial equilibrium is at a real GDP level of $2000 then what will the new equilibrium be? How much will the equilibrium level of output and expenditure change?  Show the diagram for this scenario.   

4. What are the leakages and injections for a private OPEN economy? How do they balance in equilibrium? Show the equation.

The Elephant ear canal has a length of 17 cm, and is also an open-closed tube. Assume the speed of sound is 343 m/s.

a) Calculate the fundamental frequency of the Elephant's ear canal.

b) Should sound with that frequency appear to be louder to the elephant, or quieter than half that frequency? Also, can the average human hear this sound? What range of frequencies can the average human hear?

d) Draw a diagram of (i) the displacement of air molecules and (ii) the pressure of the air in the ear canal for the frequency you calculated above. You can draw the ear canal as being a straight tube.

The trunk of the elephant can extend up to 3 m long. It acts like an open-closed tube when the elephant blows through it.

c) Calculate the fundamental frequency of the sound that the Elephant can make with it's trunk.

d) If the Elephant blows even harder they can make the next harmonic. What is the frequency of this sound?

Explain or use evidence why each is true or false

If C is any smooth, closed curve then Z C e^{x^2} dx = 0

Let F(x, y) = <P(x, y), Q(x, y)> be a vector field on R 2 and let C be a closed curve formed by the unit circle. If ∂P/∂y = ∂Q/∂x , then R C F · dr = 0.

The coordinate transformation x = u² − v² , y = 2uv maps the quarter-disk S = {(u, v) : u² + v² ≤ 1, v ≥ 0, u ≥ 0} onto the half-disk R = {(x, y) : x² + y² ≤ 1, v ≥ 0}.

If x = g(u, v) and y = h(u, v) is a transformation whose Jacobian is a constant 3, then it must map the square [0, 1] × [0, 1] to a region whose area is 1/3.

The equation in φ = π/12 in spherical coordinates describes a cone in R 3 .