Consider the following quarterly time series. The regression model developed for this data set that has seasonality and trend is as follows, yˆt = 864.08 + 87.8Qtr1t + 137.98Qtr2t + 106.16Qtr3t + 28.16t Compute the quarterly forecasts for next year based on the regression model? Quarter Year 1 Year 2 Year 3 1 923 1112 1243 2 1056 1156 1301 3 1124 1124 1254 4 992 1078 1198

SOLVE USING WHILE. A perfect number is a positive integer that is equal to the sum of its positive divisors except the number itself. The first two perfect numbers are 6 and 28 since 1+2+3=6 and 1+2+ 4+7+14=28. Write a matlab computer program that finds the first n perfect number (the user must input the value of n) and show them in a vector

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Geotechnical Engineering

-Draw in scale the distribution of the passive pressure

- Calculate the total forces and its components (in case there is)

-Locate the force in m with respect to the lower point

(Alpha is 90 degrees and Beta is 0, Delta is 10 degrees)

Consider the following two-server one-queue system from time = 0 to time = 20 min. If both servers are available when a customer arrives, the customer will choose server1. Customers waiting in the queue enter service whenever any one of the two servers becomes available (first come, first serve). Arrivals and service times are: • Customer #1 arrives at t = 0 and requires 2 minutes of service time • Customer #2 arrives at t = 1 and requires 5 minutes of service time • Customer #3 arrives at t = 3 and requires 3 minute of service time • Customer #4 arrives at t = 12 and requires 4 minute of service time Solve for system throughput (X) (# of customers served per unit time during the simulation time), total busy time for server 1(B1), total busy time for server 2(B2), mean service time for server 1(Ts1), mean service time for server 2(Ts2), server 1 utilization (U1), server 2 utilization (U2), average delay in the queue (D), average number of customers in the queue (Q), and average number of customers in the system (L). Also, draw the graph of time vs number of customers in the system. Show your work to receive full credit.

The following transactions and adjusting entries were completed by Legacy Furniture Co. during a three-year period. All are related to the use of delivery equipment. The double-declining-balance method of depreciation is used.

Journalize the transactions and the adjusting entries. Refer to the Chart of Accounts for exact wording of account titles.

1.One form of Newton’s 2^nd Law is written F = ma

If the force is doubled and the mass stays the same, the value of the new acceleration compared to its previous value will be

2. One form of Newton’s 2^nd Law is written F = ma

If the mass is three times larger than before and the force is twice as large, the value of the new acceleration compared to its previous value will be

3.In a fictional alternate universe assume that Newton’s Second Law was   a = m/F where a, m and F mean the same thing as they do in your current universe. Give a short answer to the following:

Explain what would happen to the value of a measured acceleration in the alternate universe if the mass were suddenly increased while the force stayed the same.

Explain what would happen to the value of a measured acceleration in the alternate universe if the mass stayed the same while the force suddenly decreased.

Many students accumulate debt by the time they graduate from college. Shown in the following table is the percentage of graduates with debt and the average amount of debt for these graduates at four universities and four liberal arts colleges. University % with Debt Amount($) College % with Debt Amount($) 1 72 32,970 1 83 28,754 2 68 32,110 2 94 29,000 3 58 11,228 3 56 10,201 4 64 11,853 4 49 11,015 a. If you randomly choose a graduate of College 2, what is the probability that this individual graduated with debt (to 2 decimals)? b. If you randomly choose one of these eight institutions for a follow-up study on student loans, what is the probability that you will choose an institution with more than 80% of its graduates having debt (to 3 decimals)? c. If you randomly choose one of these eight institutions for a follow-up study on student loans, what is the probability that you will choose an institution whose graduates with debts have an average debt of more than $ 20,000 (to 3 decimals)? d. What is the probability that a graduate of University 1 does not have debt (to 2 decimals)? e. For graduates of University 1 with debt, the average amount of debt is $ 32,970. Considering all graduates from University 1, what is the average debt per graduate? Round to nearest dollar.

Part 1:
Consider the following perpetual system merchandising transactions of Belton Company. Use a separate account for each receivable and payable; for example, record the sale on June 1 in Accounts Receivable—Avery & Wiest.

June 1 Sold merchandise to Avery & Wiest for $9,850; terms 2/5, n/15, FOB destination (cost of sales $7,000).
        2 Purchased $5,250 of merchandise from Angolac Suppliers; terms 2/10, n/20, FOB shipping point.
        4 Purchased merchandise inventory from Bastille Sales for $12,100; terms 3/15, n/45, FOB Bastille Sales.
        5 Sold merchandise to Gelgar for $11,700; terms 1/5, n/15, FOB destination (cost of sales $8,050).
        6 Collected the amount owing from Avery & Wiest regarding the June 1 sale.
     12 Paid Angolac Suppliers for the June 2 purchase.
      20 Collected the amount owing from Gelgar regarding the June 5 sale.
      30 Paid Bastille Sales for the June 4 purchase.

Prepare General Journal entries to record the above transactions. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)



Part 2:
Based on the information provided above, calculate the following:

a. Calculate Net sales.




b. Calculate Cost of goods sold.



c. Calculate Gross profit from sales.

Cullumber Company’s record of transactions concerning part X for the month of April was as follows.

Calculate average-cost per unit. Assume that perpetual inventory records are kept in units only. (Round answer to 2 decimal places, e.g. 2.76.)

Compute the inventory at April 30 on each of the following bases. Assume that perpetual inventory records are kept in units only. (1) First-in, first-out (FIFO). (2) Last-in, first-out (LIFO). (3) Average-cost. (Round final answers to 0 decimal places, e.g. $6,548.)

If the perpetual inventory record is kept in dollars, and costs are computed at the time of each withdrawal, what amount would be shown as ending inventory under (1) FIFO, (2) LIFO and (3) Average-cost? (Round average cost per unit to 4 decimal places, e.g. 2.7621 and final answers to 0 decimal places, e.g. 6,548.)

1. A company has to decide which size store to build. The profitability of a particular store size depends on level of demand that ends up developing in the market, which is outside of your control. State 1 is low demand while state 2 is high demand. Use the information below to answer all parts to this question.

Given the information above,

1. What is the alternative chosen using the optimistic (maximax) approach? Explain.

2. What is the alternative chosen using the conservative (maximin) approach? Explain.
   
3. What is the alternative chosen using the minimax regret criterion? Explain.

Over the past 40 years, the probability of high demand is .3. Given this information,

4. Calculate the expected monetary value (EMV) for each store size. Which store size would an EMV maximizer choose?

5. Calculate the EVPI (that is, how much you should be willing to pay an economist (or a psychic) to tell you, with certainty, next year’s state of nature).