A CSTR activated sludge system is being designed for the Fulton Fish Processing Plant. The flow is relatively small (0.25 mgd), but the wastewater is strong due to all of the fish waste (BOD5 = 4500 mg/L). Primary settling removes 20% of the BOD5. In order to discharge to the town sewer the BOD5 must be reduced to a concentration that is 95% of the influent. What is the Dimensions of the basin assuming a 3:1 L:W ratio. Also, what is the sludge production rate?

Design Parameters

θc = 10 days

X = 2100 mg VSS/L

MLVSS is 75% of MLSS

Aeration Basin = 20 ft deep

Yobs = 0.3 mg MLSS/mg BOD5

Recycle Ratio = 50%

a)An object of mass ?m rests on a horizontal frictionless surface. A constant horizontal force of magnitude ?F is applied to the object. This force produces an acceleration:

• always
• only if ?F is larger than the weight of the object
• only while the object suddenly changes from rest to motion
• only if ?F is increasing

choice A

b)Now let there be friction between the surface and the object. If the object has a mass of 10 kg, and ??μs = 0.4, and ??=0.3μk=0.3, how much force would be required to cause the object to move?

c)If this force is then applied continuously, how far will the object be displaced after 4.8 seconds?

d)How fast will it be going after pulling with the same force above for 4.8 seconds?

a) Your initial belief about stock A is that its future price cannot be predicted on the basis of existing public information. An insider comes forward claiming that the price will fall. You know the insider is not totally reliable and tells the truth with probability p=0.3. Use Bayes’ theorem to calculate the posterior probability that the stock price will fall, based on the insider’s evidence.A second insider, equally unreliable, comes forward and also claims that the price will fall. Assuming that the insiders are not colluding, what is your posterior probability of a price fall?  Based on your above answers, does the probability of future stock price depend on unreliable insiders? Would you expect this outcome? Explain your argument.

DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

2. Evaluate the company’s performance over the last four months. (Indicate the effect of each trend by selecting "Favorable" or "Unfavorable" or "None" for no effect (i.e., zero variance).

3-a. (Month 5) Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE.

3-b. (Month 6) Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE.

(Round your answers to 1 decimal place.)

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 60 home theater systems has a mean price of ​$118.00. Assume the population standard deviation is ​$19.60. Construct a​ 90% confidence interval for the population mean.

The​ 90% confidence interval is ​( nothing​, nothing​). ​(Round to two decimal places as​ needed.)

Construct a​ 95% confidence interval for the population mean.

The​ 95% confidence interval is ​( nothing​, nothing​). ​(Round to two decimal places as​ needed.)

Interpret the results. Choose the correct answer below

A. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

B. With​ 90% confidence, it can be said that the sample mean price lies in the first interval. With​ 95% confidence, it can be said that the sample mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

C. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is narrower than the​ 90%.

Do people eat more of a snack food when the food is labeled as low-fat? Do people pay attention to serving size? The answer may depend on whether the snack food is labelled low-fat and whether the label includes serving-size information. A study investigated these two questions using staff, grad students, and undergrad students at a large university as subjects.   
Subjects were asked to evaluate a pilot episode for an upcoming TV show at a theater on campus and were given a bag of granola from a respected campus restaurant. They were told to enjoy as much or as little of the granola as they wanted. Each granola bag had two labels: Twenty subjects were assigned to each treatment, and their granola bags were weighed at the end of the session to determine how much granola was eaten.

a) Is the study an observational study or an experiment? Specifically in this study (do not give general definitions),

what are the b) experimental units (abbreviated EU, also called individuals or subjects)

c) response variable and whether it is quantitative or categorical

d) How many factors were there and what were they?

e) How many treatments were there and what were they?

f) How many experimental units were in the study?

Microeconomics

Marginal Productivity and the Law of Diminishing Marginal Returns

You have recently been hired to manage a movie theater. You observe that there are many customers waiting around the concession area to buy snacks. You also observe that there is only one clerk working the counter. This employee has to do everything from get the popcorn going, stocking condiments and supplies, changing the soda canister when the syrup runs out for fountain drinks, helping customers, fill orders, collect cash, and of course, smile at the customers who have waited lengthy periods of time.

You obtain a report that shows the average sales per weekend night are $500 with one clerk. You decide to hire another clerk for the shift and sales increase to $1,000. You add one more clerk, and sales increase to $1,700. Again, you add another clerk, and sales increase to $1,900. Finally you add one more clerk, and sales increase to $2,000.

1.         Calculate the marginal product associated with each clerk. Draw a table to do this.

2.         At what point did the law of diminishing marginal return become evident?

3.         Why did the marginal product increase as more clerks were added initially?

4.         Why did the marginal product start to diminish?

NewTech Medical Devices is a medical devices wholesaler that commenced business on June 1, 2019. NewTech Medical Devices purchases merchandise for cash and on open account. In June 2019, NewTech Medical Devices engaged in the following purchasing and cash payment activities:

Required:
Journalize the transactions in a general journal.


Analyze:
What was the amount of trade discounts received on the June 15 purchase from Park Research?

Issued Check 101 to purchase merchandise, $3,800.

Note: Enter debits before credits.

Purchased merchandise for $1,350 from BioCenter Inc., Invoice 606; terms 2/10, n/30.

Note: Enter debits before credits.

Purchased merchandise for $5,150, plus a freight charge of $100, from New Concepts Corporation, Invoice 1011, terms 2/10, n/30.

Note: Enter debits before credits.

Paid amount due to BioCenter Inc. for purchase of June 3, less discount, Check 102.

Note: Enter debits before credits.

Received Credit Memorandum 227 from New Concepts Corporation for damaged merchandise totaling $350 that was returned; the goods were purchased on Invoice 1011, dated June 5.

Note: Enter debits before credits.

Purchased merchandise for $1,610 from BioCenter Inc., Invoice 612; terms 2/10, n/30.

Note: Enter debits before credits.

Paid amount due to New Concepts Corporation for Invoice 1011 of June 5, less the return of June 10 and less the cash discount, Check 103.

Note: Enter debits before credits.

Purchased merchandise with a list price of $8,500 and trade discounts of 20 percent and 15 percent from Park Research, Invoice 1029, terms n/30.

Note: Enter debits before credits.

Issued Check 104 to purchase merchandise, $2,300.

Note: Enter debits before credits.

Returned merchandise purchased on June 20 as defective, receiving a cash refund of $210.

Note: Enter debits before credits.

We Do Bankruptcies is a law firm that specializes in providing advice to firms in financial distress. It prospers in recessions when other firms are struggling. Consequently, its beta is negative, −0.2.

a. If the interest rate on Treasury bills is 5% and the expected return on the market portfolio is 20%, what is the expected return on the shares of the law firm according to the CAPM? (Enter your answer as a whole percent.)

b. Suppose you invested 90% of your wealth in the market portfolio and the remainder of your wealth in the shares in the law firm. What would be the beta of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)