• determine structural number
You should design a roadway that is to carry 100,000 people a day
(excluding truck occupants) 50,000 in design direction. The vehicles that
carry these people include; (1) personal vehicles (average occupancy of 1.5
people per car) 2 2 kip single axles, and (2) buses with 2 24 kip single axles
(assume they are filled with an average of 40 passengers). There are also
trucks on the roadway and all trucks have 1 40 kip triple axle, 1 34 kip
tandem axle, and 1 8 kip single axle. You know that the soil CBR is 8. the
initial PSI is 4.5 and the TSI is 2.5. Other values to be used:
•
All drainage coefficients = 1.0
•
Reliability = 90%
•
Overall standard deviation of traffic = 0.50

A doppler meter of frequency 3 MHz (accurate to +/ - 10 Hz) is used to monitor the heart rate of a fetus in early pregnancy (8 – 10 weeks). Determine the maximum positive and negative shift in ultrasound frequency detected by the meter due to the heart motion. For a simplified model, take the main fetal heart muscle to move like a mass on a spring undergoing Simple Harmonic Motion, with a maximum distance (amplitude) x max = A = 1.0 mm and a frequency, f = 150 beats/min. Take the speed of ultrasound in the body to be v =1540 m/s. Method: write a sine function that describes the motion of the heart muscle. 2.determine the maximum positive and negative velocity of the heart muscle by differentiating your equation 3.use the doppler equation to determine the corresponding frequency shifts.

USE THE FOLLOWING INFORMATION FOR THE NEXT 3 QUESTIONS

                     Below is an income statement for XYZ Company for 2020:

           37. Calculate breakeven sales dollars for XYZ Company using the Y-formula.

                       A. $220,000

                       B. $320,000

                       C. $350,000

                       D. $270,000

38. The degree of leverage (DOL) for XYZ Company in 2020 is equal to what amount?

            A. 1.0

            B. 2.0

            C. 3.0

            D. 4.0

            E. 5.0

39. Using the degree of leverage (DOL) for 2020 that you just calculated in question #38, if XYZ Company expects sales to increase 10% in 2021, by how much will the net income increase in 2021?

1. $5,000
2. $10,000
3. $15,000
4. $20,000
5. $25,000

A gas stream of flow rate 10.0 lbmole/ft2 h contains
6.0% sulfur dioxide (SO2) by volume in air. It is desired to
reduce the SO2 level in the treated gas to no greater than 0.5% in a countercurrent packed tower operating at 30°C and 1.0 atm total system pressure, using water containing no dissolved SO2 as the absorption solvent. The desired solvent flow rate is 2.0 times the minimum solvent flow rate. At these flow conditions, the film mass-transfer coefficients and kxa =250 lbmole/ft3 h, and kya= 15 lbmole/ft3 h, for the liquid and gas films, respectively. Equilibrium distribution data for SO2 in water at 30°C is provided in the table below.

Determine the height of packing required to accomplish the separation or operation at 2.0 times the minimum solvent flow rate.

What percentage reduction in carbon emissions do the following natural gas-fired CHP systems provide compared to the specified separately generated electricity and heat systems? For carbon emissions, assume natural gas emits 53 g CO2/MJ, and for average grid emissions assume 0.6 kg CO 2 /kWh. The joule equivalent of 1 kWh of electricity is 3.6 MJ.

a. CHP with 36% electrical efficiency and 40% thermal efficiency versus an 85%-efficient gas boiler for heat and the above average grid for electricity.

b. CHP with 50% electrical efficiency and 20% thermal efficiency versus a 33%-efficient, 1.0 kg CO 2 /kWh, coal-fired power plant for electricity and an 80%-efficient gas-fired boiler for heat.

Coke consumption per capita (gallon per capita) in Beijing is:

Coke = – 0.7*Coke’s Price + 3.8*Income + 1.0*Pepsi’s Price

Variables are expressed as percentage changes over years.

1. Explain the demand behavior of Coke drinkers in Beijing?
2. Is that true when someone saying that “Coke drinkers in Beijing follow the law of demand”? Why or why not?
3. The Beijing government was going to allow supermarkets to sell Coke. Lobbyists argue that the proposed law would help the local governments to balance their budgets. The argument is that the Coke prices will fall, people will buy more Coke and consequently local governments have more tax revenues. Giving the above estimated demand function, do you support their argument? In addition, the governments knew that Coke and Pepsi are substituted.

SHOW STEP BY STEP SPREADSHEET MODEL

A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines. The time required to produce the tables on each machine is given in the following table:

Country tables sell for $395 and contemporary tables sell for $515.   Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary. How many of each type of table should the company manufacture if it wants to maximize its revenue?

1. Formulate an LP model for this problem
2. Create the spreadsheet model and use Solver to solve the problem.

Question 2 A bank has $100 million of investment grade bonds with a duration of 8.0 years. This bank also has $500 million of commercial loans with a duration of 5.0 years. This bank has $300 million of consumer loans with a duration of 2.0 years. This bank has deposits of $600 million with a duration of 1.0 years and nondeposit borrowings of $100 million with an average duration of .25 years. What is this bank's duration gap? These are all of the assets and liabilities this bank has. A. This bank has a duration gap of 3.44 years B. This bank has a duration gap of 3.75 years C. This bank has a duration gap of 5.15 years D. This bank has a duration gap of 3.64 years E. This bank has a duration gap of 13.75 years

A metal marble is launched with a speed of v0 = 30.0m/s at 5.0 ◦ relative to the horizontal, from a height of 1.0 m above ground, and towards a very tall vertical wall, which is 6.0 m away from the launch position. The projectile may first hit the wall, or the ground. Whichever it turns out to be, assume that this is an elastic, specular collision, so that the projectile bounces off. After some time, the projectile will have another collision, which again could be either with the ground or with the wall.

Find: (a) the location of the second collision; (b) the highest point (both the x- and the y-coordinates) that the projectile reaches between its launch and the second collision; (c) the velocity (the magnitude and the angle relative to the vertical—make a sketch so that it is clear which angle you are reporting) 0.50 s after launch.

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