Consider the market for airline tickets. For the purpose of answering this question, suppose the airlines are perfectly competitive. Demand for airline tickets is given by Qd=3600-1000P and supply is given by Qs=500P Draw a diagram of this market, where the horizontal axis is total miles flown in a year, and the vertical axis is price per mile. Show the effect on this market of providing a subsidy of $1 a mile on the producer. Label the diagram and identify the areas on the diagram that correspond to: total producer surplus before and after the subsidy; consumer surplus before and after the subsidy; cost of the subsidy; total dead weight loss caused by the subsidy.

PLEASE ANSWER ALL

1) Calculate the force of attraction due to gravity, between the Mars and the Sun .

2) Calculate the escape velocity from the planet Venus using the planets known mass and radius.

3)A satellite needs to be 23,000 ( 1609 meters in 1 mile) miles above Earth’s center to be Geo stationary, what speed must it be moving at?

4) What mass must a star have if it is circled by a planet every 0.61 years at a distance of .72 AU ?

5) Calculate the velocity to be in orbit around Venus , at a distance of 100,000,000 meters from the center of the planet.

Everyday lighting takes a lot of energy and comparison with sports can be illustrative.

a) How much energy is consumed by a 60 W lightbulb if it’s turned on for only 1 min?

b) If a kicked soccer ball had this much kinetic energy how fast would it be moving in miles per hour?

c) How long would it take a ball moving at this speed to cross the 100m soccer field?

d) Realistically a soccer ball might be kicked at 20m/s. If the kinetic energy of such a ball were used to light the 60 W bulb,how long would the bulb be on?

4. The heart of the original Apple iPad is the Apple A4 chip which operates at 1.0 GHz and is believed to utilize ARM Cortex-A8 CPUs built with Samsung 45nm technology. Assume it dissipates 5 watts using a 1.1 V power supply.

a) If a prototype made in 65 nm is available, what speed and power consumption will the chip likely have assuming constant-field scaling?

b) If the supply voltage on the 65 nm part were scaled to 0.7 V, what will the power consumption and speed be then?

c) i) What supply voltage should be used by the 45 nm part to set the power consumption of 2.5 Watts?

ii) At what speed would the processor then operate?

C&A makes two types of products using four machines from 9 a.m. to 5 p.m. each day. Product A visits machines 1, 2, and 4. Product B only visits machines 1 and 3. The capacity is 0.4 unit per minute at machine 1, 0.12 unit per minute at machine 2, 0.2 unit per minute at machine 3, and 0.3 unit per minute at machine 4. The demand per day is 40 units for Product A and 160 units for Product B. Which is the implied utilization for the bottleneck resource?

• 0.69
• 1.04
• 0.28
• 1.67

Consider the following scenario analysis:

Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds.

a. What is the rate of return on the portfolio in each scenario?

Rate of Return

Recession_______%

Normal economy_______%

Boom______%

b. What are the expected rate of return and standard deviation of the portfolio?

Expected return____%

Standard deviation_____%

c. Would you prefer to invest in the portfolio, in stocks only, or in bonds only? Explain the benefit of diversification.

Invest in ?

Stock only

Bond Only

Portfolio

Suppose that during a recent year for the United​ States, merchandise imports were ​$2.2 ​trillion, unilateral transfers were a net outflow of ​$0.2 ​trillion, service exports were ​$0.3 ​trillion, service imports were ​$0.1 ​trillion, and merchandise exports were ​$1.6 trillion.

The merchandise trade deficit was ? trillion. ​(Enter your response rounded to one decimal​ place.)

The balance on goods and services was ? trillion. ​(Enter your response rounded to one decimal place and include a minus sign if​ necessary.)

The current account balance was ? trillion. ​(Enter your response rounded to one decimal place and include a minus sign if​ necessary.)

• The weights of the native North American Blue Jay have a mean of 18.4 ounces with a standard deviation of 3.6 ounces. The distribution can be considered normal. What is the 2.5th percentile of all weights?

A. 11.344

B. 14.800

C. 13.792

D. 12.478

• For the data in problem 7, what is the 97.5th percentile of all weights? A. 25.456

B. 27.688

C. 24.322

D. Can’t tell from the given data

• A population of fruit flies has 30% black and 70% gray flies. If 10 flies are selected from this population, what is the probability that exactly four are black?

A. 0.2

B. 0.3

C. 0.4

D. 0.5

Use the following data for questions below.

Using two month moving average, what is the forecast for November?

1. 14
2. 13.5
3. 15
4. 17

Using the three month weighted average with 0.2, 0.3, 0.5 as weights (0.5 is the weight on the most recent data), what is the forecast for November?

1. 13.3
2. 14.9
3. 14.3
4. 14.7

Using two exponential smoothing with an alpha of .4 and assuming May sales is 15, what is the forecast for November?

1. 15
2. 13.4
3. 14.8
4. 14.1

The following reaction is conducted, starting with 0.60 M BF3 and 0.60 M NH3.

BF3 (aq) + NH3 (aq) ⇌ BF3NH3 (aq)

Plot the value of Q for this reaction against the concentration of BF3NH3 on the axes provided, including adding value markers to the axes. To do this, calculate the value of Q at the following BF3NH3 concentrations: 0.0 M, 0.1 M, 0.2 M, 0.3 M, 0.4 M, and 0.5 M. If the value of Kc for this reaction is 22.8, use your plot to determine the equilibrium concentration of BF3NH3. This problem is trickier than you think! Be sure you are correctly calculating all relevant concentrations at each point!