A shop operates 400 minutes every day. The shop manager wants an output of 300 units per day for the assembly line. Twelve tasks, with time and precedence requirements as shown in the following table.

Compute the efficiency (in terms of %) after balancing the assembly line.

*Round your answers to 3 decimal places in your calculation if necessary.

A project with a 3-year life has the following probability distributions for possible end of year cash flows in each of the next three years: Year 1 Prob then Cash Flow 0.30 $300 0.4 $500 0.3 $700. Year 2 0.15 $100 0.35 $200 0.35 $600 0.15 $900. Year 3 0.25 $200 0.75 $800. Using an interest rate of 8 percent, find the expected present value of these uncertain cash flows. (Hint: Find the expected cash flow in each year, then evaluate those cash flows.) a. $1,204.95 b. $835.42 c. $1,519.21 d. $1,580.00 e. $1,347.61

The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume that all GPAs at the University of North Carolina are normally distributed.

What is the probability of randomly selecting a student at the University of North Carolina with a GPA of 2.9 or lower? Possible answers: A. 0.10 B. 0.16 C. 0.24 D. 0.31

What is the probability of randomly selecting a student at the University of North Carolina with a GPA between 2.9 and 3.5? Possible answers: A. 0.34 B. 0.68 C. 0.75 D. 0.95

What is the probability of randomly selecting a student at the University of North Carolina with a GPA higher than 3.7? Possible answers: A. 0.023 B. 0.048 C. 0.058 D. 0.977

The pole vault landing pad at an Olympic competition contains what is essentially a bag of air that compresses from its "resting" height of 1.4 m down to 0.3 m as the vaulter is slowed to a stop. (a) What is the time interval during which a vaulter who has just cleared a height of 7.0 m slows to a stop?
(b)What is the time interval if instead the vaulter is brought to rest by a 19.2-cm layer of sawdust that compresses to 5.1 cm when he lands?
(c) Qualitatively discuss the difference in average force the vaulter experiences from the two different landing pads. That is, which landing pad would exert the least force on the vaulter and why?

Number 5 (8 pts) An analysis of variance on the mean number of hours that Glendon students sleep the night after consuming either one of two different brands of energy drinks or an herbal tea at lunch indicates that the means are not all the same. Further data is gathered, with the following results

Use a contrast to test at a 5% level of significance whether the energy drinks lead to a lower number of mean hours of sleep than the herbal tea.

Number 5 (8 pts) An analysis of variance on the mean number of hours that Glendon students sleep the night after consuming either one of two different brands of energy drinks or an herbal tea at lunch indicates that the means are not all the same. Further data is gathered, with the following results

Use a contrast to test at a 5% level of significance whether the energy drinks lead to a lower number of mean hours of sleep than the herbal tea.

Compare the yearly greenhouse gas emissions from 1 GWe (gigawatt-electric) power stations powered by natural gas and wind turbines. The energy content of natural gas is 55 MJ/kg, and the electrical converting efficiency is 40%. Wind turbines do not emit CO₂ as they harness the wind but emissions do occur during the manufacturing of the turbine. For USA, assume the CO₂ emission per GDP is approximately 500 Tonnes / $ 1 million of GDP. For wind turbines, it costs $2 million for a 1 MWe plant, which has an efficiency of 0.3, and the yearly maintenance is approximately 2% of the initial cost. Assume the average lifetime of a wind turbine is 20 years.

Income at the architectural firm Spraggins and Yunes for the period February to July was as follows:                                                          

Assume that the initial forecast for February is 70 ​(in $​ thousands) and the initial trend adjustment is 0. The smoothing constants selected are alpha (α) ​= 0.1 and beta (β) ​= 0.3

1) Using​ trend-adjusted exponential​ smoothing, the forecast for the architectural​ firm's August income is _______ thousand dollars ​(round your response to two decimal​ places).

2) Compute the MSE for the forecast developed using​ trend-adjusted exponential smoothing. ​(Round your response to two decimal​ places.)

A vehicle which is equipped with a 6 cylinder, 2000 cc spark ignition engine is cruising at an average speed of 150 km/h from Ankara to Istanbul on the highway. The mass of the vehicle with single driver is 1200 kg and its projected frontal area is 3 m2. The coefficient of rolling resistance is 0.015 and the discharge coefficient is 0.3. The distance between Istanbul and Ankara is approximately 450 km. Assuming an average brake specific fuel consumption of 250 g/hp-h, calculate how many liters of fuel will be used during this journey ( r fuel = 0.73 g/cc and ambient air density r a=1.2 kg/m3).

a.

b.

Assume the online test in HA1011 has 15 multiple questions. Each question has five possible answers, of which only one is correct.

1. What is the probability that guesswork will yield at least seven correct answers?

2. What is the expected number of correct answers by guesswork?

At Delta limited the Chief Administrative Manager analyzed the number of incoming faxes. After an analysis, the manager determined the probability distribution of the number of pages per fax as follows:

Required:
Compute the mean and the variance of the number of pages per fax.