2. Water at a temperature of 80 °C and velocity of 1.2 m/s is flowing parallel to one side of a smooth flat plate. The plate is maintained at a constant temperature of 24 °C and is 0.8 m long and 0.5 m wide. Determine the following:

1. The heat flux at a distance x = 0.6m from the front edge of the plate, q” = ____________
2. The location of the maximum heat flux on the plate, x = _________
3. The total convective heat transfer from the water to the top surface of the plate,

                                                                                                                   q = __________

4. The convective heat transfer between the water and the plate from x = 0.6 m to x = 0.8m

                                                                                                                   q₂ = __________

for water: ρ = 987 kg/m³, µ = 528 x 10^-6 N·s/m², k = 645 x 10^-3 W/m·K, Pr = 3.42

A regenerative Rankine cycle operates with inlet conditions of 800°C and 5MPa and exhausts to a pressure of 10kPa. A single open-feedwater heater is used with an extraction pressure of 0.8 MPa. Assume the exit states of the condenser and the feedwater heater are both saturated liquids. The turbine and pump isentropic efficiencies are 100%.

1. Draw the T-s diagram and determine the thermal efficiency for the cycle and the total turbine work per unit boiler mass flow rate (kJ/kg)
2. Repeat the problem in part 1, but replace the open feed water heater with a closed feed water heater where the extracted steam is pumped to the boiler pressure before being combined with the condenser feed water
3. Repeat the problem in part 2, but where the extracted steam is throttled from the closed feed water heater exit to the condenser

The total value of your portfolio is $10,000: $3,000 of it is invested in Stock A and the remainder invested in Stock B. Stock A has a beta of 0.8; Stock B has a beta of 1.2. The risk premium on the market portfolio is 8%; the risk-free rate is 2%. Additional information on Stocks A and B is provided below.

1. What are each stock’s expected return and the standard deviation?
2. What are the expected return and the standard deviation of your portfolio?
3. What is the beta of your portfolio?
4. 1. Using CAPM, what is the expected return on the portfolio?
   2. Given your answer above, would you buy, sell, or hold the portfolio?

. Complete the following:

a. If the tax multiplier is -1, then the marginal propensity to save is _________ the marginal propensity to consume.

b. If the government spending multiplier is 8, then the marginal propensity to save equals______.

c. If the marginal propensity to consume is two times the marginal propensity to save, then the government spending multiplier equals _______.

d. If the marginal propensity to save is 0.5, then the tax multiplier equals _______.

e. If the marginal propensity to save increases by 10 percent, then the government spending multiplier ________.

f. If the marginal propensity to consume goes from 0.8 to 0.85, then the tax multiplier _________.

g. If the tax multiplier increases (in absolute value) from -1 to -2, this means that the marginal propensity to consume has ______ relative to the marginal propensity to save.

h. If the government spending multiplier decreases from 5 to 4, this means that the marginal propensity to save has _______.

Consider two economies. In economy A: autonomous consumption equals 700, the marginal propensity to consume equals 0.80, taxes are fixed at 50, investment is 100, government spending is 100, and net exports are 40.

In economy B: autonomous consumption equals 1000, the marginal propensity to consume equals 0.8, taxes are proportional to income such that consumers pay 25% of their income as taxes, investment is 250, government purchases are 150, and net exports are 400.

(i) What is the planned aggregate expenditure (PAE) in each economy?

(ii) What is the short-run equilibrium output in each economy?

(iii) In which economy is the spending multiplier higher?

(iv) Suppose autonomous consumption fall by 500 in each economy. Which economy will see a higher drop in GDP? Compute the equilibrium output in each economy.

You proposed a portfolio for your client with 60% in stock A and 40% in stock B. Stock A has an average weekly return of 0.88% and stock B has an average weekly return of 1.32%. Beta for stock A and B are 0.8 and 1.3 respectively. Now you want to deliver a performance report to the client regarding portfolio performance on a weekly basis. (a). What’s the portfolio average weekly return?

(b). What’s the portfolio beta?

(c). You have calculated the portfolio weekly standard deviation: 3.9%. What’s the Sharpe ratio of the portfolio? Assuming weekly market return is 0.9% and weekly riskfree rate is 0.04%.

(d). Still assume the portfolio weekly standard deviation is 3.9%, weekly market return is 0.9% and weekly risk-free rate is 0.04%, what’s Jensen’s Alpha of the portfolio?

A star-connected induction motor has the following rated parameters: Voltage UN = 400 V, current IN = 8 A, frequency fN = 50 Hz, speed nN = 1480 rpm, power factor cos ijN = 0.8, efficiency ȘN = 0.9, magnetizing inductance Lm = 280 mH, stator leakage inductance LVı = 9 mH and rotor leakage inductance LUı = 14 mH.

For the rated operating point of the motor, calculate the per-unit values for electric active power Pel, mechanical power Pmech, magnetizing inductance Lm, stator leakage inductance LVı, rotor leakage inductance LUı, slip s, and the mechanical torque Tmech. Calculate the motor rated power and rated torque (the actual kW and Nm values) using the per-unit values.

Maudry is borrowing $10,000 today to fund a new small business. She has an interest-only loan for the first 12 months, and her first payment will be in one month. (Note: With this interest-only loan, each payment exactly equals the amount of interest accrued in the previous month.) How much will each of the first 12 payments be if the effective annual interest rate is 10%?

            A. $83             B. $82             C. $81             D. $80             E. $79

Warren is considering investing in a local business. He can invest $12,000 today and will receive annual payments of $1,000, forever, starting five years from today. What is the profitability index of this investment if his effective annual interest rate is 7%?

            A. 1.2              B. 1.1              C. 1.0              D. 0.9              E. 0.8

2-) Methane gas enters an uninsulated horizontal pipe with a thin wall of 25 cm in diameter at a temperature of (300+ ??) C with 4.5 tons of mass flow per hour and exits at (280+ ??) C. The pipe is smooth and its length is 10 m and the ambient and environmental temperature is 25 C. Since the smear coefficient of the pipe surface is given as 0.8; (?? = school no. last two digits, for example 0611002072; ?? = 72, ie 300 + 72 = 372 C and 280 + 72 = 352 C) a-) Indoor and outdoor convection coefficients (W / m K), b -) Calculate heat loss from the pipe to the environment (W), c-) Surface temperature of the pipe (C), d-) Calculate the required fan power (W) and interpret the results.

28 will be written instead of a question mark

A universe of securities includes a risky stock (X), a stock-index fund (M), and T-bills. The data for the universe are:

The correlation coefficient between X and M is -0.8

A. Draw the opportunity set of securities X and M

B. Find the optimal risky portfolio (O), its expected return, standard deviation, and Sharpe ratio. Compare with the Sharpe ratio of X and M

C. Find the slope of the CAL generated by T-bills and portfolio O.

D. Suppose an investor places 2/9 (i.e., 22.22%) of the complete portfolio in the risky portfolio O and the remainder in T-bills. Calculate the composition of the complete portfolio, its expected return, SD, and Sharpe ratio.