Water in pipe AB (Figure 2), diameter (DAB) 1.2 m, is flowing with the velocity (VAB) of 3 m/second. Then it continues to flow through pipe BC, with a diameter (DBC) of 1.5 m and finally flows through branch pipe of CD, diameter (DCD) of 0.8 m and pipe of CE (DCE), with a velocity (VCE) of 2.1 m/second. Calculate:
1. Discharge of pipe AB (QAB)
2. Flow velocity of pipe BC (VBC)
3. Flow velocity of pipe BC (VBC)
4. Diameter of pipe CE (VCE)

Consider a Si p-n junction at T=300K with the following parameters: Na=5x1017cm-3, Nd=5x1017cm-3 Dn=25 cm2 /s D P=10 cm2 /s τn=5x10-7 s τP=5x10-7 s. Let the photocurrent density be 20 mA/cm2 . (a) Calculate the maximum power delivered to the load assuming that the fill factor is 0.8. (b) By what factor will the output power increase from (a) if the solar intensity is increase by a factor of 10 due to light concentration. Comment on your results

1. How does a higher beta affect WACC and why?
2. How does a drop in the bond market effect WACC and why?
3. 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%.

You are interested in buying a house and renting it out. You expect to receive a monthly net income of $1,500 from rent. You then expect to sell the house for $300,000 at the end of 60 months. If your discount rate on this investment is 0.8% per month, what is this property worth to you today? Assume that you receive rent at the beginning of each month and you receive the first rent the same day you purchase the property. Round to the nearest cent. ​[Hint: Notice that the interest rate provided is monthy, so this is i/m. Also, 60 months is nxm.]

A 200 km, 2.5 Gb/s communication link consists of four spans and three optical amplifiers. The transmitter power is 0 dBm and the fiber loss is 0.25 dB/km. Assume the receiver bandwidth ∆f = 0.7B and responsivity of 0.8 A/W. The operating wavelength is 1.55 µm.
a) What is the span loss? What is the optimal amplifier gain for maximum SNR?
b) If each amplifier has a 4 dB noise figure, then what is the SNR at the output of the last amplifier?
c) Whatis the receiver sensitivity (Q=6)? Will the system work as designed?

Methane gas enters a horizontal pipe with a thin wall of 25 cm diameter at a temperature of 309 C with 4.5 tons of mass flow per hour and exits at 289 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;

 a-) Indoor and outdoor convection coefficients (W / m2K),

b-) Heat loss from the pipe to the environment (W),

c-) The surface temperature of the pipe (C),

d-) Calculate the required fan control (W) and interpret the results.

Northwood Company manufactures basketballs. The company has a ball that sells for $25. At present, the ball is manufactured in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $15.00 per ball, of which 60% is direct labor cost.

Last year, the company sold 44,000 of these balls, with the following results:

Required:

1. Compute (a) last year's CM ratio and the break-even point in balls, and (b) the degree of operating leverage at last year’s sales level.

2. Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $3.00 per ball. If this change takes place and the selling price per ball remains constant at $25.00, what will be next year's CM ratio and the break-even point in balls?

3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $123,000, as last year?

4. Refer again to the data in (2) above. The president feels that the company must raise the selling price of its basketballs. If Northwood Company wants to maintain the same CM ratio as last year (as computed in requirement 1a), what selling price per ball must it charge next year to cover the increased labor costs?

5. Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new plant would slash variable expenses per ball by 40.00%, but it would cause fixed expenses per year to double. If the new plant is built, what would be the company’s new CM ratio and new break-even point in balls?

6. Refer to the data in (5) above.

a. If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $123,000, as last year?

b. Assume the new plant is built and that next year the company manufactures and sells 44,000 balls (the same number as sold last year). Prepare a contribution format income statement and compute the degree of operating leverage.

Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $3.00 per ball. If this change takes place and the selling price per ball remains constant at $25.00, what will be next year's CM ratio and the break-even point in balls? (Round "CM Ratio" to 2 decimal places and "Unit sales to break even" to the nearest whole unit.)

REQ 2

REQ 3

Refer to the data in Required (2). If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $123,000, as last year? (Round your answer to the nearest whole unit.)

REQ 4

Refer again to the data in Required (2). The president feels that the company must raise the selling price of its basketballs. If Northwood Company wants to maintain the same CM ratio as last year (as computed in requirement 1a), what selling price per ball must it charge next year to cover the increased labor costs? (Round your answer to 2 decimal places.)

Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new plant would slash variable expenses per ball by 40.00%, but it would cause fixed expenses per year to double. If the new plant is built, what would be the company’s new CM ratio and new break-even point in balls? (Round "CM Ratio" to 2 decimal places and "Unit sales to break even" to the nearest whole unit.)

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If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $123,000, as last year? (Round your answer to the nearest whole unit.

Assume the new plant is built and that next year the company manufactures and sells 44,000 balls (the same number as sold last year). Prepare a contribution format income statement and compute the degree of operating leverage. (Round "Degree of operating leverage" to 2 decimal places.)

Utah Enterprises is considering buying a vacant lot that sells for $1.8 million. If the property is purchased, the company's plan is to spend another $6 million today (t = 0) to build a hotel on the property. The after-tax cash flows from the hotel will depend critically on whether the state imposes a tourism tax in this year's legislative session. If the tax is imposed, the hotel is expected to produce after-tax cash inflows of $810,000 at the end of each of the next 15 years, versus $1,710,000 if the tax is not imposed. The project has a 14% cost of capital. Assume at the outset that the company does not have the option to delay the project. Use decision-tree analysis to answer the following questions. What is the project's expected NPV if the tax is imposed? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to the nearest cent. $ What is the project's expected NPV if the tax is not imposed? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to the nearest cent. $ Given that there is a 50% chance that the tax will be imposed, what is the project's expected NPV if the company proceed with it today? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to the nearest cent. $ Although the company does not have an option to delay construction, it does have the option to abandon the project 1 year from now if the tax is imposed. If it abandons the project, it would sell the complete property 1 year from now at an expected price of $7.8 million. Once the project is abandoned, the company would no longer receive any cash inflows from it. If all cash flows are discounted at 14%, would the existence of this abandonment option affect the company's decision to proceed with the project today? Assume there is no option to abandon or delay the project but that the company has an option to purchase an adjacent property in 1 year at a price of $2 million. If the tourism tax is imposed, then the net present value of developing this property (as of t = 1) is only $300,000 (so it wouldn't make sense to purchase the property for $2 million). However, if the tax is not imposed, then the net present value of the future opportunities from developing the property would be $4 million (as of t = 1). Thus, under this scenario it would make sense to purchase the property for $2 million. Given that cash flows are discounted at 14% and that there's a 50-50 chance the tax will be imposed, how much would the company pay today for the option to purchase this property 1 year from now for $2 million? Negative value, if any, should be indicated by a minus sign. Do not round intermediate calculations Round your answer to the nearest cent. $