Suppose that the total checkable deposits in the entire banking system of an economy is $100 billion. The total required reserves are $10 billion. Further, banks do not hold any excess reserves, and individuals do not hold any cash in the economy.

A) In this economy, if the Federal Reserve buys $10 million worth of government securities, then by how much will the money supply increase?

B) Will the change in money supply be greater or lesser than what you derived in part A if the banks hold excess reserves and individuals hold cash? Explain your answer.

Suppose that the U.S. economy is in a recession, and the Federal Reserve Bank decides to use monetary policy to help the economy recover.

The goal is to increase the real GDP by $500 billion. The Federal Reserve Bank chooses open-market operations as the desired tool to achieve this.

It has the following information about the economy:

(1) all money is held as deposits, and banks do not hold excess reserves;

(2) a $1 change in the money supply leads to a $2 change in real GDP; and

(3) the reserve requirement on banks is 10%.

Given this information, answer the following questions:

A) Should the Federal Reserve Bank BUY or SELL Treasury securities to achieve this?

B) What is the value of open-market operations that the Federal Reserve Bank must carry out to help the economy recover from the recession?

C) Explain the logic behind how the open-market operations can help the economy recover.

Which of the following statements is TRUE?

Select one:

a. An increase in the real GDP automatically leads to an increase in the value of the Human Development Index.

b. Countries with high real GDP per capita tend to rank lower on the Human Development Index.

c. Income per capita is included in the Human Development Index.

d. The Human Development Index and real GDP are equivalent ways of measuring economic development.

Calculate the radius ratio for CaO if the ionic radii of Ca2 and O2– are 100 pm and 140 pm, respectively.

Based on the radius ratio above, what is the expected coordination number of CaO? The range of radius ratios for each coordination number is given in parentheses.

If the density of solid iron is 7.87 g/cm3, what is the packing efficiency of Fe if it adopts a body-centered cubic unit cell? The molar mass of Fe is 55.847 g/mol.

Determine the empirical formula of the compound with a crystal structure where beryllium ions occupy all of the tetrahedral holes in a cubic close-packed (ccp) array of carbon anions.

Determine the empirical formula of the compound with a crystal structure where boron ions occupy one-half of the tetrahedral holes in a cubic close-packed (ccp) array of nitrogen anions.

Determine the empirical formula of the compound with a crystal structure where silver ions occupy all of the octahedral holes in a cubic close-packed array of chlorine anions.

Please solve the following game: Assume that a total $100 grant will be shared by the three researchers, X, Y, and Z. Each person is rational and selfish. There are six proposals with different shares of (X, Y, Z) for choices as the following.

Proposal I: (X, Y, Z) = (50, 40, 10)

Proposal II: (X, Y, Z) = (60, 10, 30)

Proposal III: (X, Y, Z) = (40, 20, 40)

Proposal IV: (X, Y, Z) = (20, 30, 50)

Proposal V: (X, Y, Z) = (30, 50, 20)

Proposal VI: (X, Y, Z) = (20, 50, 30)

The rule of choosing the final proposal is simple. First, Z is the person to determine who (either X or Y) is the proposal raiser. Then the proposal raiser chooses a particular proposal. Finally, the last person has the right to pass it or reject it. If the last person’s payoff is the smallest among the three, then the proposal will be rejected and no one will get anything. The decision making process can be done by only one time. Which proposal will be the final outcome? Explain the decision briefly.

Please answer all the two questions by one paragraph for each.

Please solve the following game:

Assume that a total $100 grant will be shared by the three researchers, X, Y, and Z. Each person is rational and selfish. There are six proposals with different shares of (X, Y, Z) for choices as the following.

Proposal I: (X, Y, Z) = (50, 40, 10)

Proposal II: (X, Y, Z) = (60, 10, 30)

Proposal III: (X, Y, Z) = (40, 20, 40)

Proposal IV: (X, Y, Z) = (20, 30, 50)

Proposal V: (X, Y, Z) = (30, 50, 20)

Proposal VI: (X, Y, Z) = (20, 50, 30)

The rule of choosing the final proposal is simple. First, Z is the person to determine who (either X or Y) is the proposal raiser. Then the proposal raiser chooses a particular proposal. Finally, the last person has the right to pass it or reject it. If the last person’s payoff is the smallest among the three, then the proposal will be rejected and no one will get anything. The decision making process can be done by only one time. Which proposal will be the final outcome? Explain the decision briefly.   

A 100 meter long wire carrying a current of .4 amps into the board is at (-5, 0) meters and another 100-m long wire carrying a current of .6 amps out of the board is at (+3, 0) meters.

a) Find the Magnetic Force between these charges.

b) Where can a third wire be placed so that it experiences no force? Where can it be placed on the x-axis so it experiences a force of magnitude 5 μN (the wire has a current of .5 amps out of the board and is 100-m long)?

c) What is the total force (magnitude and direction) on a 100-m long wire placed at (-2, 4) meters which carries a current of .5 amps out of the board? What is the total magnetic field (magnitude and direction) at that location?

Answers Should Be:

a) F = .6 μN repulsive

b) (-21, 0) meters for 0 force,

(-4.035, 0) m & (1.635, 0) m & (-5.703, 0) m & (4.103, 0) m for 5 μΝ

c) F = 1.21 μN, θ = 2.58^o above the x-axis

B = 24.2 nT, θ = 87.42^o below the x-axis

Toluene Chiller A stream of liquid toluene at 100°C is fed to a chiller at a flow rate of 4.00 kg/min. The stream exits the chiller at 15°C. The heat capacity for liquid toluene can be estimated from the following equation (Cp in kJ/(mol*°C) and T in °C): = 0.1488 + (32.4 10−5)

a) Draw a flow sheet for this problem, labeling all known variables;

b) State assumptions required to solve the energy balance;

c) Write the mass balance for this problem;

d) Write the appropriate form of the energy balance and simplify;

e) Solve for the rate of heat transfer (kJ/min) for this process.

In a lot of 100 microcircuits, 20 are defective. Four microcircuits are chosen at random to be tested.

Let X denote the number of tested circuits that are defective.

a. Identify the distribution of X , including any parameters, and find P(X = 2). You do not need to provide a decimal answer.

b. If appropriate (check), estimate P(X = 2) using an appropriate method.

Determine the magnitude of the Schmid factor for an FCC single crystal oriented with is [100] direction parallel to the loading axis

400 products on line A are examined and 40% are found to be defective, 100 products on line B are examined and 20% are found to be defective. What is the appropriate test statistic?

A 0.4 g sample of CMA was dissolved in HCL and diluted to 100 mL. A 10 mL aliquot of the sample was titrated with 25.5 mL of 0.01 M EDTA. The calcium was removed from a second 10 mL aliquot by precipitation with ammonium oxalate, and the remaining filtrate was titrated with 17.25 mL of 0.01 M EDTA.

a) Multiply the concentration (molarity) of EDTA by the volume, in liters, of EDTA added in the first titration to determine the combined amount (moles) of calcium and magnesium ions in a 10 mL CME aliquot.

b) Calculate the amount (moles) of magnesium and calcium in a 10 mL CMA aliquot.

c) determine the mass of magnesium acetate and the mass of calcium acetate in a 10.0 mL CMA aliquot. (Molar mass: Calcium acetate = 158.2 g/mole; magnesium acetate = 142.3 g/mole)

d) divide the original mass of the CMA sample by the initial solution volume, before removing aliquots, and multiply by the aliquot volume to determine the mass of CMA and a 10 ML aliquot.

e) calculate the percent composition of calcium acetate and the percent composition of magnesium acetate in CMA.