In a marine gas turbine unit a high-pressure turbine drives the compressor, and a low-pressure turbine drives the propeller through suitable gearing. The overall pressure ratio is 4/1, and the maximum temperature is 650⁰C. The isentropic efficiencies of the compressor, High Pressure turbine, and Low Pressure turbine are 0.8, 0.83 and 0.85 respectively, and the mechanical efficiency of both shafts is 98%.

Calculate the pressure entering the Low Pressure turbine when the air intake conditions are 1.01 bar and 25⁰C. Calculate also the thermal efficiency and the shaft power when the mass air flow is 60 kg/s. Neglect kinetic energy changes, and the pressure loss in combustion.

For all compression processes take c_p = 1.005 kJ/kg K and ɣ=1.4; for the combustion and expansion processes take c_p = 1.15 kJ/kg K and ɣ=1.333. Neglect the mass of fuel.

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.

Question 1: What is the planned aggregate expenditure (PAE) in each economy?

Question 2:What is the short-run equilibrium output in each economy?

Question 3: In which economy is the spending multiplier higher?

Question 4: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.

7. Consider the following income-expenditure model of a closed economy. The aggregate consumption function is C = 100 +0.8(Y – T); taxes are T = 380; investment, I, is 300 and government expenditure, G, is 200.

( a)Calculate the multiplier, equilibrium income and the government budget surplus [6 marks]

(b)Now let taxes, T = 10 + 0.25Y. Recalculate the multiplier, equilibrium income and the government budget surplus. Try to explain any differences between your answers and your answers to part (a). [10 marks]

( c)Now we further extend the model and open the economy to trade. Let net exports be NX = 444 - 0.3Y. Keep the tax function as in (b). Recalculate the multiplier and equilibrium income and again explain any differences between your answers and those in part (b). [10 marks]

A rectangular cross section beam (A) made of steel constructed in an industrial building
between two columns which are “X” m apart. The beam is acting as a support for one end of
a pair of crane wheel (B). The distance b/w wheels are “Y” m. The crane is used to lift max.
of Z tonnes of load which is having hook at the centre of crane. Draw shear force and B.M
diagram of the beam.
Case i) If the crane wheels are positioned at equal distances from centre of the beam.
Case ii) If one of the crane wheels is exactly at the centre.
Case iii) If one of the crane wheels comes exactly over a column.
Also find the max. bending stresses in the beam for the first case considering the depth (d)
as twice the width of the beam.
where X=4.8m,Y=0.8, Z =9 tonnes, Depth (d) = 500mm

Use the following information about the closed economy of Vanatu to answer questions 7 and 8:

Y=$35,000
T=$5,000 C=MPC*(Y-T)+$1000-1,000r MPC=0.8
G=$6,500
I=$4000-2,000r

8. Now suppose that the government of Vanatu wants to increase spending on military services. Assume that government purchases increase by $1,500. At the same time, assume the inflation rate in Vanatu is, and remains, 10%. Then

1. a) The nominal interest rate now is 76.7%; private savings increases

2. b) The nominal interest rate now is 67.5%; private savings decreases

3. c) The nominal interest rate now is 33.2%; private savings increases

4. d) The nominal interest rate now is 43.3%; private savings decreases

5. e) The nominal interest rate now is 57.7%; private savings increases

THE ANSWER IS A I AM JUST CONFUSED HOW TO GET THERE

A three-phase synchronous generator is rated 16 kV and 200 MVA, has negligible losses and has reactance of 1.65 pu. The generator is operated on an infinite bus of 15 kV voltage and delivers 100 MVA at 0.8 Power Factor, lagging.

a)Determine the internal voltage (E_i), the power angle (δ), and the line current of the machine.

b)If the field current of the machine is reduced by 10%, while the mechanical power input to the machine is maintained constant, determine the new value of the power angle (δ) and reactive power delivered to the system.

c)The prime mover is next adjusted without changing the excitation so that the machine delivers zero reactive power to the system. Determine the new power angle (δ) and the real power being delivered to the system.

d)What is the maximum reactive power that the machine can deliver if the level of excitation is maintained as in part b?

Futaba photo shop has three services, print, enlargement, frame. The shop owner thinks these two services can be sold as a bundle, Print 3, Enlarge 4 and Frame 1. The company spends 10% of selling price as variable advertising expenses. Fixed cost for the shop is $129,320. The following information related to these three services is given.

Determine the contribution margin per unit of each product

Compute the breakeven point volume for each service. Present supporting calculations

What is the total sales units required to earn profit of $252,000 on after tax, the above assumption and a tax rate of 40%?

The Federal Government distributed a recovery relief fund to all households with $600 for all individuals filing and $1,200 for all households filing jointly and $500 for each children in each household. This was part of the $2.2 Trillion stimulus package under CARES Act of March 2020 that also included employee job protection plan for small business owners and restaurants, travel related businesses, unemployment insurances and households with no taxes filed. What would be the overall impact on AD of this recovery relief fund caused by COVID19 public health crisis and its effect on change in real GDP? Assume that the Marginal Propensity to Consume (MPC) for all American consumers is 0.8 in March 2020. Explain your answer briefly as well in your own words. Make sure you use your understanding of the concept of expenditure multiplier in estimating this problem

5a. The price of chicken in January is $3 and 12 pounds are purchased. The price of chicken in December is $6 and 11 pounds are purchased. Calculate the own price elasticity of demand. Explain to the delivery person so that they can understand if the demand for chicken is elastic or inelastic.

5b. The price of beef in May is $4.0 per pound and falls to $3.5 in July. The quantity of chicken consumed in May is 4,000 pounds and falls in July to 3,800 pounds. Calculate the cross price elasticity of demand. Explain to the delivery person so that they can understand if beef and chicken are substitutes or complements.

5c. A coffee cup costs $12 and people buy 5 coffee cups. The price elasticity of demand for coffee cup is -0.8. If the firm increases the price of a coffee cup by 5%, calculate the change in total expenditure. Explain your answer so that the person selling coffee would understand.

You have $9,000 to invest. You've done some security analysis and generated the following data for three stocks and Treasury bills, including weights in the optimal risky portfolio (ORP) from doing Markowitz portfolio optimization:

Part 1

What is the expected return of the optimal risky portfolio (ORP)?

Part 2

How much money should you invest in the ORP to achieve an expected return of 8% for the complete portfolio (in $)?

Part 3

If you want to achieve an expected return of 8% for the complete portfolio, how much money should you invest in stock A (in $)?