1. Suppose a country's production function is
Y = 4 + 9*K.
If the level of capital (K) is 17, then what is the marginal productivity of the 18 unit of capital?  

2. Suppose a country's production function is
Y = 4 + 9*K^0.5
If the level of capital (K) is 17, then what is the marginal productivity of the 18 unit of capital?  


3. Assume the production function for a small country is
Y = 7*K^0.5.
If 20% of capital is lost to depreciation every year and the country uses 24% of output as investment, what is the level of investment if K= 35?  


4. Assume the production function for a small country is
Y = 5*K^0.5.
Also assume that 24% of capital is lost to depreciation every year and the country uses 19% of output as investment. What is the steady state level of K?  



5. North Solonia has 96 machines (K=96).
South Solonia's output is twice that of North Solonia.
How many more machines does South Solonia have? The production function for each country is Y = 3*K^0.5.  

1) The 4 main determinants of exchange rates include all of the below except

            a) Relative levels of political risks

            b) Relative levels of real interest rates

            c) Relative levels of nominal interest rates

            d) Relative levels of inflation rates

            e) Relative levels of economic risks

2) If the supply of the AUD will fall, while the demand for the AUD will rise, then the equilibrium quantity will _____, while the equilibrium exchange rate will _____.

            a) Definitely Rise, Definitely Rise

            b) Definitely Rise, Definitely Fall

            c) Definitely Fall, Definitely Rise

            d) Definitely Fall, Definitely Fall

            e) None of the above

            3) In today's highly competitive FOREX market is it ______ to take advantage of

                  triangular currency arbitrage, while the risk of losing money would be ______

            a) Impossible, Next to zero

            b) Impossible, Minimal

            c) Very difficult, Next to zero

            d) Relatively easy, Significant

            e) None of the above

4) The larger portion of FOREX spot market (by total volume) is related to

            a) Purchase of foreign capital assets

            b) Purchase of local real estate assets

            c) Foreign trade

            d) Foreign fixed income transactions

            e) None of the above

            5) In order to hedge the currency exchange risk associated with generating additional foreign currency denominated accounts receivable, a company could generate an

            a) Additional local currency denominated accounts payable

            b) Additional foreign currency denominated securities

            c) Additional foreign currency denominated accounts payable

            d) Additional local currency denominated accounts receivable

            e) None of the above

6) The major FOREX market participants include all of the below except

1. MNCs
2. Retail banks
3. Central banks
4. Brokers
5. Hedgers

7) A typical currency futures contract includes all of the following features except

1. Open interest
2. Contract size
3. Break-even margin
4. Initial margin
5. Underlying currency

            8) Main risks pertaining to international investing include all of the following except

1. Changes in currency exchange rate
2. Low value of foreign market beta
3. Lack of liquidity
4. Lack of information
5. Reliance on foreign legal system

The following case is for Questions 1-4:

A study considers whether the mean score of a college entrance exam for students in 2019 (Group 1) was higher than the mean score in 2018 (Group 2). A random sample of 25 students who took the exam in 2019 and a random sample of 25 students who took the exam in 2018 were selected. Assume α=0.1.

                                                              Sample Size                     Mean                       Standard Deviation

                           2019:                       n = 25                          = 497                            s= 102

                           2018:                       n = 25                          = 485                            s= 98

                           Difference:              n = 25                          = 12                              s= 20

Question 1:

Frame the null hypothesis and alternative hypothesis:

(a) Ho: µ1=µ2          Ha: µ1>µ2

(b) Ho: µ1=µ2          Ha: µ1<µ2

(c) Ho: µ1=µ2          Ha: µ1≠µ2

(d) Ho: µ1>µ2          Ha: µ1=µ2

Question 2:

What is the case of this question?

(a) Large Independent Sample Mean

(b) Small Independent Sample Mean

(c) Paired Difference Case

(d) Large Independent Sample Proportion

Question 3:

What is the degree of freedom?

(a) 24

(b) 25

(c) 48

(d) 49

Question 4:

What is the test statistic?

(a) 4.16

(b) 3.0

(c) 0.42

(d)24.36

1. Describe the significance of phase 4 in the process of new drug approval. What is a goal of postmarketing surveillance (PMS) in a new drug approval process?

5. Compute a basis for each eigenspace of matrix A = | 6 3 −4 −1 | (a) Diagonalize A. (b) Compute A4 and A−3 . (c) Find a matrix B such that B2 = A. (or compute √ A.)

4. If Z is a standard normal random variable, that is Z ∼ N(0, 1), (a) what is P(Z 2 < 1)? (b) Find a number c such that P(Z < c) = 0.75 (c) Find a number d such that P(Z > d) = 0.83 (d) Find a number b such that P(−b < Z < b) = 0.95

4) Given inflation rates of 1% and 3% in Japan and US respectively,

what is the prediction according to RPPP with regards to the yen /$

exchange rate?

5) The Yen /USD spot exchange rate is 100. The current interest rate is

3% in the U.S. and 1% in Japan.

a) Explain the International Fisher Effect (IFE)?

b) What will be the exchange value change of the Japan Yen under

IFE?

Suppose that 1 out of 4 eggs contain the Salmonella virus, and eggs are independent of each other with regard to having Salmonella. If Sue uses 3 eggs to bake a cake, the distribution describing the probability of getting eggs with the virus is

Which of the following is a characteristic of the binomial distribution?

A coin is weighted so that it turns up heads 60% of the time. If the coin is flipped 10 times, and the flips are independent of each other, the distribution is

Which of the following is not a characteristic of a binomial distrIbution?

As the number of trials gets large, a binomial distribution starts to resemble a

In order for n to be large enough for the normal distribution to be able to approximate the binomial, n must be

a. np > 10

b. np > 10 and n(1-p) > 10

c. n > 100

d. n > 100 and p > 0.1

I.Reviewer in Marketing.

1. Study the principles of MARKETING MIX.
What are the 4 P's OF Marketing? Define each
 Prepare a marketing plan for a particular business where you apply the 4Ps.

1. A sludge containing 4% solid (by weight) needs to be thickened by centrifugation to ≥15% solid for disposal. The centrifuge has a high constant speed and produces a dewatered sludge containing 20% solid. To increase the processing capacity while still meeting the disposal requirement, you decide to bypass (i.e., not dewater) some of the feed sludge and blend the untreated sludge with the dewatered (20% solid) sludge, so as to produce a final sludge with a 15% solid content. Assume all sludge streams have the density of water.

(a) Give the centrate production rate (in L/min) and the percent solid (of the total coming in) discharged via the centrate?

(b) What % of the feed sludge is bypassed (i.e., not centrifuged)?

2. Eutrophication is a natural aging process all lakes undergo as nutrients and organic matter accumulate from their drainage basins. Over time the accumulated nutrients enable increased aquatic growth and stimulate biological activities. The increase in phytoplankton causes the lake to become murky, while decaying organic matter depletes the available dissolved O2. Further accumulation of silt, nutrients, and organic matter causes the eutrophic ("well-fed") lake to become shallower and warmer with more plants growing in the shallow edges. This process transforms lakes into bogs and marshes over time. Natural eutrophication is usually quite slow, often measured in thousands of years before major changes occur. What human activity has done is rapidly accelerate this process (called "cultural eutrophication") by introducing large quantities of nutrients. Sources of nutrients include municipal wastewater, industrial wastes, and runoff from fertilized agricultural land. The introduction of superfluous nutrients disturbs the natural balance of the system, causing excessive algae growth and water quality deterioration. Algal blooms are the unsightly and often malodorous clumps of rotting debris along the shoreline and thick mats of dead organic matter in the lake. A nutrient of major importance that enter fresh water bodies such as lakes from the aforementioned sources is phosphorous. C = 20% C = 15% Q = 100 L/min C = 4% bypass centrifuge C = 0.1% ("centrate") 2 Consider a phosphorus-limited lake with a surface area equal to 8 x 107 m 2 that is being fed by a stream with a flow rate of 15 m3 /s and a phosphorus concentration of 0.01 mg/L. An outfall from a wastewater treatment plant also adds 1 g/s of phosphorus to the lake, but its volumetric flow rate is small and can be ignored. The outflow rate from the lake is the same as the inflow (15 m3 /s). Because phosphorus can attach to suspended particles in lake water, the phosphorus in the lake can also be removed through particle settling (to sediment), which occurs at a rate of 10 m/yr. For the questions below, assume the lake is a cylindrical CSTR.

(a) Draw a diagram to represent the processes involved in phosphorus mass balance. List all sources and sinks. Estimate the steady-state phosphorus concentration in the lake.

(b) An acceptable level of phosphorus in the lake is 0.01 mg/L, above which eutrophication is considered likely. By what percent must the wastewater treatment plant reduce its phosphorous discharge into the lake to achieve this concentration?

3. A textile finishing process involves drying fabric that has been treated with a volatile solvent. The drying process involves evaporation of solvent and removal of solvent vapor by air. The wet fabric entering the dryer contains 50% solvent by weight. Air enters the dryer at a rate of 8 kg per kg of solvent-free fabric. The drying process is 92% efficient; i.e., 92% of entering solvent is removed from fabric and carried out by air. What is the weight % of solvent in the dried fabric? What is the mole % of solvent vapor in the exhaust? The molecular weight of the solvent is 46 g/mol.(Note: Dried fabric still contains some solvent; i.e., dried fabric is not solvent-free).

4. A process heater burns 4.8 kg of natural gas per minute, and the air supply rate is 20% higher than the stoichiometric rate. Exhaust from the heater is sent to a heat exchanger, where water vapor is condensed and removed from the exhaust. Assume natural gas is all methane (CH4), air contains 21% O2 and 79% N2, and the combustion of CH4 is complete, what is the mole % of CO2 in the cooled exhaust?