Cash flow series

Determine the expected present worth of the following cash flow series if each series may be realized with the probability shown at the head of each column. Let i = 20% per year.

The present worth when the probability is 0.3 is $

The present worth when the probability is 0.22 is $

The present worth when the probability is 0.48 is $

The expected present worth value is $  .

1. Here is some information on tomato weights W gathered separately on all of the fertilized tomato plots (F=1) and unfertilized (F=0) plots for studying the effect of fertilizer.

Suppose there are 20 fertilized tomato plots and 20 unfertilized tomato plots in the field,

1. (1 point) what is the expected average tomato weight of the whole field?
2. (1 point) Compare the yield of tomato plots based on mean, variance and skewness and give a brief interpretation of the results.

When survey data indicated that a coffee company needed to improve its​ package-sealing process, an experiment was conducted to determine the factors in the​ bag-sealing equipment that might be affecting the ease of opening the bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the​ bag-sealing equipment was used to predict the tear rating of a bag. Complete parts​ (a) through ​(b).

Bag   Plate gap (X)   Tear rating (Y)
1   -0.3   0.06
2   -0.30   0.03
3   1.80   0.45
4   1.80   0.88
5   0.00   0.31
6   0.30   0.38
7   -0.30   0.77
8   0.00   1.96
9   -0.30   0.22
10   -1.80   0.19
11   -1.50   0.16
12   3.00   3.79
13   -1.80   0.05
14   0.00   0.57
15   -2.40   0.03
16   -1.80   0.12
17   1.50   0.41
18   1.80   4.02
19   0.00   0.09

a. Construct a 95​% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0.3

b. Construct a 95​% prediction interval of the tear rating for an individual bag of coffee when the plate gap is 0.3

Structural engineers use wireless sensor networks to monitor the condition of dams and bridges. An article describes an experiment in which accelerometers were placed on the Golden Gate Bridge for the purpose of estimating vibration modes. For 18 vertical modes, the system was underdamped (damping ratio < 1). Following are the damping ratios and frequencies for those modes.

If two modes differ in damping ratio by 0.2, by how much would you predict their frequencies to differ? Round the answer to three decimal places.

Predict the frequency for modes with damping ratio 0.75. Round the answer to three decimal places.

Compute the least-squares line for predicting frequency from damping ratio. Round the answers to three decimal places.

Predict the frequency for modes with damping ratio 0.75. Round the answer to three decimal places.

b) Interpret the coefficients in the estimated regression model of Sales on Csales. c) Before estimating the model, the manager claimed that for every 1 million increase in Csales, Sales go down by 2 million. Is there evidence from the estimated model that she was not correct? Answer by constructing an appropriate 95% confidence interval. d) What is the correlation between Sales and Csales?

Consider a regenerative vapor power cycle with two feedwater heaters, a closed one and an open one, and reheat. Steam enters the first turbine stage at 12 MPa, 480°C, and expands to 2 MPa. Some steam is extracted at 2 MPa and fed to the closed feedwater heater. The remainder is reheated at 2 MPa to 440°C and then expands through the second-stage turbine to 0.3 MPa, where an additional amount is extracted and fed into the open feedwater heater operating at 0.3 MPa.

The steam expanding through the third-stage turbine exits at the condenser pressure of 20 kPa. Feedwater leaves the closed heater at 210°C, 12 MPa, and condensate exiting as saturated liquid at 2 MPa is trapped into the open feedwater heater. Saturated liquid at 0.3 MPa leaves the open feedwater heater. Assume all pumps and turbine stages operate isentropically.

Determine for the cycle:

(a) the heat transfer to the working fluid passing through the steam generator, in kJ per kg of steam entering the turbine.

(b) the percent thermal efficiency.

(c) the heat transfer from the working fluid passing through the condenser to the cooling water, in kJ per kg of steam entering the first-stage turbine.

Part A:  The number of cars arriving at a self-service gasoline station during the last 50 hours of operation are as follows:

The following random numbers have been generated: 44, 30, 26, 09, 49, 13, 33, 89, 13, 37. Simulate 10 hours of arrivals at this station. What is the average number of arrivals during this period?

Part B:  The time between arrivals at a drive-through window of a fast-food restaurant follows the distribution given below. The service time distribution is also given in the table in the right column. Use the random numbers provided to simulate the activity of the first five arrivals. Assume that the window opens at 11:00 a.m. and the first arrival is after this, based on the first interarrival time generated.

Random numbers for arrivals: 14, 74, 27, 03

Random numbers for service times: 88, 32, 36, 24

What time does the fourth customer leave the system?

1. Sources of monopoly power

A monopolist, unlike a competitive firm, has some market power. It can raise its price, within limits, without the quantity demanded falling to zero. The main way it retains its market power is through barriers to entry—that is, other companies cannot enter the market to create competition in that particular industry.

Complete the following table by indicating which barrier to entry appropriately explains why a monopoly exists in each scenario.

Grade It Now

For a given AD curve, a reduction in the availability of labor or raw materials would cause the short run aggregate supply to shift to the left which would cause prices to fall and output to increase in the short run.

Select one:

True

False

According to the AD/AS model, an economic contraction caused by a leftward shift of aggregate demand remedies itself over time as the expected price level falls, shifting the short run aggregate supply rightward.

Select one:

True

False

According to the AD/AS model, if the long-run aggregate supply curve is vertical then the economy will always return to the level of output that occurs when the rate of unemployment is at its natural level.

Select one:

True

False

The sticky price theory of short-run aggregate supply says that when the price level falls unexpectedly, some firms will have higher than desired prices which increases their sales.

Select one:

True

False

As the United States entered World War II in the early 1940s, the U.S government increased military expenditures that caused the aggregate demand curve in the U.S. to shift to the left and that caused the rate of unemployment to rise to historic levels.

Select one:

True

False