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.

3. What is the weighted average cost of capital (WACC) and provide the equation when long-term debt and common equity are used to obtain capital funds? Please describe each component and how you measure each? How does a higher beta affect WACC and why? How does a drop in the bond market effect WACC and why? What is the WACC for a public utility given the following information: beta: 0.8, expected rate of return on the S&P 500: 12.4%, risk-free rate (T-bill yield): 4%, yield to maturity on long-term bonds: 7.2%, required rate of return on preferred stock: 7.5%, common equity ratio: 60%, debt ratio: 30%, preferred stock ratio: 10% and an effective corporate tax rate: 30%.

The table below reflects the actual and structural budget deficit as a percentage of GDP.

a. Graph the above data with “years” in the horizontal axis, and “deficit as % of GDP” in vertical axis.

b. From 2010 to 2014 the actual budget deficit is above the structural budget deficit. Explain why.

c. From 2016 to 2018 the actual budget deficit is below the structural budget deficit. Explain why.

d. Which period was the fiscal policy contractionary?

e. Which period was the fiscal policy expansionary?

A screen-printing business has to choose between printing t-shirts and

sweatshirts to manage risk due to dwindling student enrollments. The matrix below

shows the returns of each shirt and probabilities of three possible enrollment outcomes; high,

average, and low.

Which shirt type should the business produce considering each of the following decision rule?

i. Most likely outcome                        ______________________________

ii. Maximum expected value ______________________________

iii. Risk and returns comparison             ______________________________

iv. Safety first (maxi-min)      ______________________________

v. Minimum of $4,000 returns            ______________________________

Problem: Using the alternative-parameter method, determine the parameters of the following distributions based on the given assessments.

Find the parameter value β for the exponential distribution given:

P_E (T ≤ 15 \ β) = 0.50.

Find the parameters μ and s for a normal distribution given:

P_N (Y ≤ 125\ μ, s) = 0.25 and P_N (Y ≤ 12\ μ, s) = 0.75

Find the Min, Most Likely, and Max for the triangular distribution given:

P_T (Y ≤ 15\Min, Most Likely, Max) = 0.15

P_T (Y ≤ 50\Min, Most Likely, Max) = 0.50, and

P_T (Y > 95\Min, Most Likely, Max) = 0.05

Find the parameters values a₁ and a₂ for the beta distribution given:

P_B (Q ≤ 0.3\a_1, a₂) ₌ 0.05 and P_B (Q ≤ 0.5\a_1, a₂) ₌ 0.25

The flow rate of warm air into the air conditioning is 5,000 cfm. An air conditioning system takes outdoor air at 95 degrees F dry-bulb and 70% relative humidity, and discharges it at 60 degrees F dry-bulb and 95% relative humidity. The air conditioning system operates on a vapor compression cycle using R134a between 20 and 200 psia. Refrigerant enters the compressor at 20 degrees F and leaves the compressor at 180 degrees F. Refrigerant enters the evaporator coil at a quality of x = 0.3. Determine a) The quantity of water removed from the air, in lb/min. b) The quantity of heat removed from the air, in tons. c) The mass flow rate of refrigerant, in lb/s. d) The compressor's power requirement, in hp.