1.A firm estimates sales of $250,000 in December, $275,000 in January; $225,000 in February, $300,000 in March, $350,000 in April; $280,000 in May; and $300,000 in June. November sales were $225,000. The firm typically collects 20% of its sales in cash; 50% are accounts receivable paid the month after the sale; and 30% are accounts receivable paid two months after the sale. The firm’s cost of goods sold (raw materials) amounts to 70% of its sales. The raw materials are ordered two months in advance of expected sales, but are paid for one month after they are ordered. The firm has fixed costs of $3,000 per month for rent and $12,000 per month for other fixed operating costs.   The firm has $30,000 per month in salary expense. Assume a starting cash balance of $0 but a minimum cash balance of $10,000 going forward. Prepare the cash budget for January through April. What is the maximum amount of short-term loan the firm will need during the relevant time period?

You may hand-write this part of the assignment and scan it to submit, or you may put it in Excel or Word to submit.

The Dawg Shop normally writes checks in the amount of $25,000 each day. It takes six days for these checks to clear. The firm receives checks in the amount of $22,000 daily but loses five days while they are being deposited and cleared. What is the firm’s disbursement float, collections float, and net float?

With its current system, it takes seven days from the time customers mail payments until The Wood Shed deposits them. A lockbox system would reduce this collection float by three days. If the Wood Shed receives an average of $3,000 in payments per day and its opportunity cost is 12%, how much should The Wood Shed be willing to pay each month for the lockbox system?

Compute the DSO (days sales outstanding) from the following aging schedule.

Account AgeAmount OutstandingAverage Days

0-30 days$75,00024

31-60 days$30,00040

Over 60 days$10,00065

5.The firm's average accounts receivable is $1,000,000 and is financed by a 7% annual interest bank loan. The firm is considering a regional lockbox system which it believes will reduce Accounts Receivable by 20 percent. The annual cost of the system is $20,000. What is the estimated net annual savings to the firm from implementing the lockbox system and should the firm use the system?

6.A firm’s average age of accounts receivable is 40 days. If the firm has annual sales of $650,000, what is the firm's average accounts receivable balance?

The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX]

a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3, H]

b) [4 pts] Find the mean and standard deviation.

c) [2 pts] Find the IQR

d) [2 pts] Are there any outliers in the test scores? Explain

e)[ 1 pt] Suppose one student in the sample is randomly selected. What is the probability that this student scored less than 50 [leave as a fraction]

You decide to open an individual retirement account (IRA) at your local bank that pays 8 %/year compounded annually. At the end of each of the next 40 years, you will deposit $4,000 into the account. Three years after your last deposit, you will begin making annual withdrawals. What annual amount will you be able to withdraw if you want the withdrawals to last:

A, 20 years? $

B, 30 year? $

C, Forever? $

Write a Java program (name it InputSum) that prompts the user to enter positive integer numbers using a sentinel while loop. The program should accept integer inputs until the user enters the value -1 (negative one is the sentinel value that stops the while loop). After the user enters -1, the program should display the entered numbers followed by their sum as shown below. Notice that -1 is not part of the output. The program should ignore any other negative input and should continue to run.

Hint: to remember/save the entered (good) positive values, you can concatenate them into a string (separated by comas) that you can output later on.

The following are sample runs showing the input prompt and the outputs: (Notice the user may enter one value per line. DO NOT read inputs as String type)

Enter positive integers (-1 to quit): 10 -5 2 -1

Entered Numbers: 10, 2

The Sum: 12

Enter positive integers (-1 to quit): 1 2 3 4 5 6 -1

Entered Numbers: 1, 2, 3, 4, 5, 6

The Sum: 21

Enter positive integers (-1 to quit): 1 1 -7 1 1 -9 100 -1

Entered Numbers: 1, 1, 1, 1, 100

The Sum: 104

Make sure the program validates each entered number before processing it as the user may enter negative numbers (other than the sentinel value -1).

Design your program such that it allows the user to re-run the program with a different set of inputs in the same run.

Document your code, and organize and space out your outputs as shown above.

Suzy purchased 2 acres of vacant land in 2018 by paying $4,000 in cash at closing and borrowing $40,000 to be repaid at $8,000 per year for the next 5 years with interest on the unpaid balance at 10%. As part of the purchase agreement, Suzy agreed to let the seller store farm equipment on the land for 2 years (rental value of $1,000 per year). Suzy also pays legal, survey and title abstract fees of $700 on the purchase. In 2019, she paid $1,250 in property tax on the land. In addition, the county paved the road that runs by the land and assessed each taxpayer $1,300 for the paving, which Suzy paid in November 2019. What is Suzy's adjusted basis of the land at the end of 2019?

You are considering constructing a new plant in a remote wilderness area to process the ore from a planned mining operation. You anticipate that the plant will take a year to build and cost

$ 100

million upfront. Once? built, it will generate cash flows of

$ 16

million at the end of every year over the life of the plant. The plant will be useless

20

years after its completion once the mine runs out of ore. At that point you expect to pay

$ 220$220

million to shut the plant down and restore the area to its pristine state. Using a cost of capital of

13 %

a. What is the NPV of the? project?

b. Is using the IRR rule reliable for this? project? Explain.

c. What are the IRRs of this? project?

A single- phase full- wave rectifier is used to control the speed of a 5- hp, 110- V, 1200- rpm, separately- excited dc motor. The converter is connected to a single- phase, 120- V, 60- Hz supply. The motor has a winding resistance of 0.4ohms and an inductance of 5 mH, and a voltage constant K=0.09V/rpm.

a. During the motoring operation, the motor runs at 1000 rpm and receives an armature current of 30 A. Determine the corresponding firing angle and the power to the motor.

b. The polarity of the emf is reversed to get a regenerative action. Determine the firing angle required to keep the motor speed at 1000 rpm with an armature current of 30A. What is the power fed back to the supply under these conditions?

How will the following situations affect your final calculation of molarity of HC2H3O2? (higher, lower, unaffected. be specific) A) You wash the sides of the flask with deionized water to remove any vinegar of NaOH solution adhering to the side of the flask. B) You add 20 mL of water to the vinegar in the flask (assume no drops of vinegar adhere to the side of the flask). C) The tip of the buret is not filled when you start a titration but is filled when you finish the titration. D) The molarity of the standard NaOH solution is miscalulated and the true value is higher than the concentration given. E) As you are refilling your buret, some of the NaOH spills over the side and runs down the buret into the flask you intend to titrate.