Answer: Post office; toll roads
Explanation:
Private goods are goods that have two main features which are rivalry and excludability. Private goods have to be bought before they can be used.
The goods/services that are classified as private goods/services even though they are provided by a federal government are post offices and toll roads.
Even though they're both provided by the government, individuals have to pay to use toll roads and also had to pay for stamps and other things before their delivery are made at the post office.
n 2015, Antle Inc. had acquired Demski Co. and recorded goodwill of $270 million as a result. The net assets (including goodwill) from Antle's acquisition of Demski Co. had a 2016 year-end book value of $605 million. Antle assessed the fair value of Demski at this date to be $725 million, while the fair value of all of Demski's identifiable tangible and intangible assets (excluding goodwill) was $580 million. The amount of the impairment loss that Antle would record for goodwill at the end of 2016 is:
Answer:
$0
Explanation:
As we know that the impairment loss is recognized when the book value is more than the fair value
As we can see that since book value is not greater than the fair value so the impairment loss than need to be recorded at the end of 2016 should be zero as it does not satisfy the given condition
Hence, the answer is $0 and the same is to be considered
An individual wants to have $95,000 per year to live on when she retires in 30 years. The individual is planning on living for 20 years after retirement. If the investor can earn 6% during her retirement years and 10% during her working years, how much should she be saving during her working life? (Hint: Treat all calculations as annuities.)
Answer:
annual contribution = $6,624.25
total amount saved in 30 years = $1,089,650
Explanation:
time until retiring = 30 years
interest rate earned until retiring = 10%
she plans to live 20 years after retiring
interest rate earned after retiring = 6%
expected distribution = $95,000 per year
in order for her to be able to have the 20 payments of $95,000, she will need:
= annual payment x PV annuity factor
annual payment = $95,000PV annuity factor (6%, 20 periods) = 11.470total amount needed = $95,000 x 11.47 = $1,089,650
in order to determine the annual contribution we need to use the future value of an annuity formula:
FV = annual payment x FV annuity factor
FV = $1,089,650FV annuity factor (10%, 30 periods) = 164.494annual payment = $1,089,650 / 164.494 = $6,624.25
ABC Company is a merchandising business. In Year 1, the business experienced the following events:
1. Acquired $1,000 cash from the issue of common stock
2. Purchased inventory for $530 cash.
3. Sold inventory costing $490 for $730.
What is the value of ABC Company's ending merchandise inventory?
a) $240
b) $490
c) $40
d) $530
Answer:
c) $40
Explanation:
Purchase of Inventory $530
Less: Cost of inventory sold $490
Ending merchandise inventory $40
Yolanda owns a temp agency. She sees demand for her workers increase because firms prefer a more contingent workforce. The value of the marginal product of labor of her tempsA. stays the same.B. increases because the temps produce more per hour.C. decreases because the temps know they are going to get jobs.D. increases because the price of their services is higher.E. falls because job uncertainty lowers productivity.
Answer:
for her workers increase because firms prefer a more contingent workforce. The value of the marginal product of labor of her tempsA. stays the same.B. increases because the temps produce more per hour.C. decreases because the temps know they are going to get jobs.D. increases because the price of their services is higher.E. falls because job uncertainty lowers productivity.
Principles of Economics: Outlines Ten Principles of Economics that we will replicate here, they are:
Answer:
The correct answers are:
1) People face trade-offs
2) The cost of something is what you give up to get it
3) Rational people think at the margin
4) People respond to incentives
5) Trade can make everyone better off
6) Markets are usually a good way to organize economic activity
7) Governments can sometimes improve market outcomes
8) A country's standard of living depends on its ability to produce goods and services
9) Prices rise when the government prints too much money
10) Society faces a short-run tradeoff between Inflation and unemployment.
Explanation:
To begin with, those ten principles of economics were first introduce by Gregory Mankiw in the book he wrote name Principles of Economics and he devided the principles in sections in where he organized the way everything was connected. Therefore that there are three major headlines of that are: How people make decisions; How people interact with each other; and the forces and trends that affect how the economy as a whole works.
Which of the following is not a condition that must be satisfied before interest capitalization can begin on a qualifying asset?
a) Interest has been paid to the bank
b) Interest cost is being incurred
c) Expenditures for the assets have been made
d) Activities that are necessary to get the asset ready for its intended use are in progress
Answer:
The answer is D.
Explanation:
Cost of an asset includes the purchase price and other cost that are necessary to get the asset ready for its intended use and all these costs must be capitalized. Interest (borrowing cost) according to IAS 23( borrowing cost) states Interest directly involved in acquisition or construction or producing of qualifying assets must be capitalized i.e included in the cost of the asset.
Songreen Inc.,a firm that manufactures ready-to-eat soups,offers incentives based on an employee's performance rating and the employee's compa-ratio.Which of the following payment plans is exemplified in this scenario? A) Piecework plan B) Merit pay C) Standard hour plan D) Differential plan E) Skill-based plan
Answer:
B
Explanation:
Merit pay is a form of compensation where pay is given based on performance of workers. Performance is measured according to a predetermined metric. Merit pay acts as an incentive to workers to increase performance
Matthew, vice president of human resources at Gamma Phi Corporation, is a(n) Multiple Choice middle-level manager. board manager. team leader. upper-level manager. first-line level manager.
Answer: Upper-level manager
Explanation:
Matthew is the Vice President of a Department at Gamma Phi Corp. Matthew in this role is capable of making primary decisions involving Human Resources and by extension, the company.
As such, Matthew is an Upper-Level manager who's decision has an impact on a firm wide basis as Matthew is high up the corporate ladder.
Answer:
upper-level manager
Explanation:
A vice president of human resources is probably the highest level human resources manager in a corporation. Even though he/she is not part of the elite top management: CEO, CFO, and COO (and also CIO or any other Chief something), a vice president is still considered part of upper management.
He/she is in charge of all the human resources department in a corporation.
Larkspur Co. had cost of goods sold of $3,100. If beginning inventory was $3,200 and ending inventory was $1.050. Larkspur's purchases must have been:___________.
a. $950
b. $1,150
c. $2,150
d. $5.250
Answer:
cost of goods purchased= $950
Explanation:
Giving the following information:
Larkspur Co. had cost of goods sold of $3,100.
Beginning inventory was $3,200
Ending inventory was $1,050
To calculate the purchases, we need to use the following formula:
COGS= beginning finished inventory + cost of goods purchased - ending finished inventory
3,100 = 3,200 + cost of goods purchased - 1,050
cost of goods purchased= 950
Answer: Larkspur's purchases = $950
Explanation: From the information given:
Cost of Goods Sold = $3,100.
Beginning inventory = $3,200
Ending inventory = $1,050
We can obtain the price of the purchases.
We know that: Beginning Inventory + Purchases - Ending Inventory = Cost of Goods Sold.
Therefore: Beginning Inventory + Ending Inventory - Cost of Goods Sold = Purchases.
Thus: $3,200 + $1,050 - $3,100 = $950
explain the service packages of bank (physical items, sensual benefits, and psychological benefits).
Answer:
Bank provides free cheque books, credit/debit cards, free bank account statement services via text and or email and sometimes provides free locker for its account holders.
Explanation:
Bank provides a number of benefits to its customers which includes physical items, sensual benefits and psychological benefits.
Bank provides these benefits to its customers in order to attract them to avail services from the bank.
Bank provides free cheque books, credit/debit cards, free bank account statement services via text and or email and sometimes provides free locker for its account holders.
mike operates a hair cutting salon that specialize in providing quick walk in service just about any type of hair. He deals with customers as they walk in the door. This includes writing down the customers name and what they desire in terms of hair cut
Complete Question:
Mike operates a hair-cutting salon that specializes in providing quick walk-in service for just about any type of haircut. He deals with customers as they walk in the door. This includes writing down the customer's name and what they desire in terms of haircut, wash, dry, and so on. This process usually takes two minutes. If no hair stylist is available, the customer then goes to the waiting area, where he/she is processed on a first-come, first-serve basis. The salon has five hair stylists who work eight hours each day. It takes, on average, 25 minutes for a stylist to greet the customer, wash and/or cut his hair, and wish him a fond farewell. Then Mike completes the process by taking the customer's money and telling him about the satisfaction guarantee offered by the shop. This final set of steps takes two minutes on average.
Requirement 1. Assuming that the waiting area always has at least one customer in it, how many customers on average can Mike's salon process in a day (assuming no problems in utilization, quality, or efficiency)?
Answer:
96 Customers
Explanation:
The time taken to process one customer includes:
Time taken by each Hair stylist to tailor the hairs of customer is 25 Minutes
Now
Time taken to process total customer in a day = Total hours available / Total time consumed by each customer
Here
Number of stylists are 5 and working hours are 8 Hrs per stylist which means total number of hours are 40 Hours per day.
By putting values, we have:
Time taken to process total customer in a day = 40 Hours / (29/60)
= 96 customers per day
Treasury bonds paying an 8% coupon rate with semiannual payments currently sell at par value. What coupon rate would they have to pay in order to sell at par if they paid their coupons annually? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Answer:
8.16%
Explanation:
The computation of the coupon rate is shown below:
= (1 + coupon rate ÷ 2 )^2 - 1
where,
The coupon rate is 0.08
Now placing these values to the above formula
So, the coupon rate is
= (1 + 0.08 ÷ 2 )^2 - 1
= 0.0816
= 8.16%
Hence, the coupon rate that need to be sell if it is paid annually is 8.16% and the same is to be considered
Halsted, Inc., has outstanding 10,000 shares of $200 par value, 7% nonparticipating, cumulative preferred stock and 10,000 shares of $40 par value common stock. If the dividend on preferred stock is one year in arrears, and the total cash dividend declared this year is $288,000, then the total amounts distributed to preferred and common stockholders, respectively, are:
Answer:
Preferred stock holders' dividend = $280000
Common stock holders' dividend = $8000
Explanation:
A cumulative preferred stock is one whose dividends are accumulated in arrears and are to paid in the following year(s), if the company fails to pay or partially pay the dividends in a certain year. The yearly dividend on preferred stock is,
Preferred stock dividend = 10000 * 200 * 0.07 = $140000
As the dividends on preferred stock are in arrears for one year, the company will pay a dividend this year on preferred stock of,
Preferred stock dividend to be paid = 140000 + 140000 = $280000
Thus, out of the announced dividend of $288000, $280000 will be paid to the preferred stock holders while the remaining $8000 will be paid to the common stock holders.
Given the following for the QRS Company: Assume QRS elects the carryback provision in 2017 and that future income is "more likely than not." 12/31/18 Income Tax Payable is:
Complete Question:
Given the following for the QRS Company:
Year Pre-Tax Net Tax Rate
Income (Loss)
2015 $10,000 20%
2016 8,000 20%
2017 (20,000) 20%
2018 12,000 20%
Assume QRS elects the carryback provision in 2017 and that future income is "more likely than not." 12/31/18 Income Tax Payable is:
Select One:
a. $2,400
b. $2,000
c. $11,600
d. $9,600
e. $400
Answer:
QRS
12/31/18 Income Tax Payable is:
b. $2,000
Explanation:
a) Data:
QRS Company:
Year Pre-Tax Net Tax Rate
Income (Loss)
2015 $10,000 20%
2016 8,000 20%
2017 (20,000) 20%
2018 12,000 20%
b) QRS can recover the loss from the 2015 and 2016 net income in the sum of $18,000 ($10,000 + $8,000) and then carry forward $2,000 against 2018 net income. Therefore, the taxable income for 2018 will be $10,000 ($12,000 - $2,000). The income tax payable is $2,000 ($10,000 * 20%).
di dolly. How should me change of mentory valuation basis be accounted for? (5 marks) QUESTION THREE (10 marks) Villandry's inventory includes three items for which the following details are available. Supplier's list pass Shs. w ka Net realisable value Shs. 5,100 2,800 4,100 Product A Product B Product C 3,600 4,200 The company receives a 24% trade discount from its suppliers and it also takes advantage of a 2% discount for prompt payment. Required: (a) Calculate the total value of products A, B and C which should be shown in inventory in the statement of financial position. (b) Explain the difference that changing from a weighted average to FIFO method of inventory valuation is likely to have entity's profit or loss. (10 marks) O
Answer:
Villandry
Inventory Valuation:
a) The total value of products A, B, and C shown in inventory in the statement of financial position is:
$8,844
b) Difference and Effect of Weighted Average and FIFO Methods on Profit or Loss:
Villandry's FIFO method of valuing the cost of goods sold and ending inventory is based on the assumption that goods that are purchased first will be the first to be sold. With this assumption, the ending inventory always reflects the newest prices, while the cost of goods sold reflects the older prices. On the other hand, the weighted average method calculates the cost of goods sold and the ending inventory based on an average price. It divides the cost of goods available for sale by the quantity of goods available for sale. The average value obtained is then applied to compute the cost of goods sold and the ending inventory. What the weighted average method achieves is to even out the unit cost of inventory.
Therefore, they do not produce the same result. When prices are rising, as the FIFO method reflects more accurately the values of the cost of goods sold and ending inventory than the weighted average, it will also report higher profits or lower losses than the weighted average. The weighted average does not show such fluctuations.
Explanation:
a) Data and Calculations:
Net realisable List price value Purchase cost Inventory Value
Shs. Shs. Shs (list price -24%) Shs
Product A 3,600 5,100 3,876 3,600
Product B 2,900 2,800 2,128 2128
Product C 4,200 4,100 3,116 3,116
Total cost 10,700 12,000 9,120 8,844
b) The purchase costs are computed by deducting 24% trade discount from the suppliers' list prices. For example, for the total list price, taking away 24% trade discount will reduce the cost to $9,120 ($12,000 * 0.76). This purchase cost is then compared with the net realizable value to determine the inventory value for each product.
Consider a project with only positive cash flows after year 0. If the company felt that the risk of the project was less than original estimates, which of the following would occur?
Answer: Required Rate of Return Net Present Value Internal Rate of Return
A Higher Higher Lower
B Higher Lower No change
C No Change Higher No change
D Lower Lower Higher
E Lower Higher No Change
Answer:
E
Explanation:
The required rate of return is the rate used to discount cash flows when calculating NPV. the more risky a project is, the higher the required rate of return. So, if it is perceived that the project is less risky, the required rate of return would decrease.
Net present value is the present value of after tax cash flows from an investment less the amount invested.
Because the required rate of return is used to discount cash flows when calculating NPV, a lower rate would increase NPV
Internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested. The required rate is not needed when calculating IRR. so, there would be no change in IRR if discount rate is lowered.
Magazine sold 12,480 annual subscriptions on August 1, 2020, for $23 each. Prepare Blossom’s August 1, 2020, journal entry and the December 31, 2020, annual adjusting entry, assuming the magazines are published and delivered monthly.
Answer:
Dr cash $ 287,040
Cr unearned revenue $ 287,040
Dr unearned revenue $119,600
Cr earned revenue $119,600
Explanation:
The Magazine received the subscriptions in advance prior to delivering the published magazine to its readers, as a result, the subscriptions would be treated as unearned revenue until the magazines are delivered, when each month revenue would be recognized.
Amount received=$23*12480=$287,040
On 31 December 2020,5 months publications would have been delivered and should now be shown as revenue earned
5-month subscription=$287,040*5/12=$119600
Which of the following is a retailing business?
Automotive repair shop
O Travel agency
O Grocery Store
O Farm
Businesses technology
Answer:
B). Grocery store
Explanation:
Retailing is described as the business of selling directly to the customer. It primarily aims to sell goods as well as services to the consumer directly for their end-use, encompassing all the channels of distribution. It is described as the final stage of the distribution process where the retailer directly satisfies consumer demands. Among the given options, the grocery store would be an example of a retailing business as it sells vegetables to the final consumers personally for their consumption, after crossing different channels of distribution i.e. manufacturer(farmer), wholesaler, retailer, and finally the consumer. Thus, option B is the correct answer.
Meenach Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on direct labor-hours. The company based its predetermined overhead rate for the current year on 66,000 direct labor-hours, total fixed manufacturing overhead cost of $99,000, and a variable manufacturing overhead rate of $4.50 per direct labor-hour. Recently Job X387 was completed and required 220 direct labor-hours.
Required:
Calculate the amount of overhead applied to Job X387. (Do not round intermediate calculations.)
Answer:
Allocated MOH= $1,320
Explanation:
Giving the following information:
Estimated fixed overhead= $99,000
Estimated variable overhead= $4.5 per unit
Estimated direct labor hour= 66,000
Recently Job X387 was completed and required 220 direct labor-hours.
First, we need to calculate the predetermined overhead rate:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= (99,000/66,000) + 4.5
Predetermined manufacturing overhead rate= $6 per direct labor hour
Now, we can allocate overhead:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= 6*220
Allocated MOH= $1,320
Big Lots is able to compete against Wal-Mart with a cost leadership strategy because of its strengths in highly disciplined merchandise cost and inventory management system. This illustrates the:________.
A) ability of Big Lots to imitate Wal-Mart's tightly integrated activity map.
B) ability to survive against a dominant competitor by changing from a broad competitive scope to a narrow competitive scope.
C) fact that support activities in the firm can provide sources of cost reduction.
D) importance of effective use of primary activities in the value chain.
Answer:
A) ability of Big Lots to imitate Wal-Mart's tightly integrated activity map.
Explanation:
Competitive advantage of a company is it's ability to leverage on unique capabilities and resources to gain more market share than others.
In this instance Big Lots is competing favourably by imitating unique capability of Walmart which is highly disciplined merchandise cost and inventory management system.
A business can imitate another's strategy in order to better compete with them.
For example acquiring a company to increase scale of operations to match a competitor.
Answer:
B) ability to survive against a dominant competitor by changing from a broad competitive scope to a narrow competitive scope
Explanation:
Note that we were told that Big Lot has strengths in inventory management systems; a somewhat narrow competitive scope since most businesses struggle with inventory management.
Also, being highly disciplined in its merchandise cost played a major factor in other to survive against a dominant competitor like Wal-Mart.
If a firm's forecasted sales are $250,000 and its break-even sales are $190,000, the margin of safety in dollars is:_________.
a) $60,000.
b) $250,000.
c) $190,000.
d) $440,000.
e) $24,000.
Answer:
a. $60000
Explanation:
The forecasted sales of the firm = $250000
Breakeven sales of the firm = $190000
We have to find the margin of safety by using the above given information. Therefore, it can be determined by subtracting the breakeven sales from sales.
The margin of safety = sales – breakeven sales
The margin of safety = 250000 – 190000
The margin of safety = $60000
Thus, option A is correct.
Sidewinder, Inc., has sales of $634,000, costs of $328,000, depreciation expense of $73,000, interest expense of $38,000, and a tax rate of 21 percent. What is the net income for this firm? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)
Answer:
$154,050
Explanation:
The computation of the net income for the firm is shown below:
Sales $634,000
Less: costs -$328,000
Less: depreciation -$73,000
EBIT -$233,000
Less: interest -$38,000
EBT 195,000
Less: tax(195,000 × 21%) -$40,950
Net income $154,050
We simply deduct all expenses ,interest and taxes from the sales revenue so that the net income could come and the same is to be considered
Consider a project with the following data: accounting break even quantity = 16,700 units., cash break even quantity = 15,000 units., life = four years., fixed costs = $150,000 variable cost = $ 32 per unit., required return = 15 percent. Ignoring the effect of taxes.
Required:
Find the financial break-even quantity.
Answer:
The financial break-even quantity is 17,385.97
Explanation:
Cash Break even = Fixed Cost / (Price- variable Cost)
15,000 = $150,000 / (P-$32)
15,000 (P) -15,000*32 = $150,000
15,000 (P) - $480,000 = $150,000
15,000 (P) = $150,000 + $480,000
15,000 (P) = $630,000
P = $630,000/15,000
P = $42 per unit
From accounting break even quantity = 16,700 units, = QA
QA= (FC + D)/(P –v)
16,700 = ($150,000 + D)/($42 - $32)
16,700 = ($150,000 + D)/$10
16,700*$10 = ($150,000 + D)
$167,000 = ($150,000 + D)
$167,000 - $150,000 = D
D = $17,000
Therefore, the depreciated value is = $17,000
To find the annual depreciation amount we assume straight-line depreciation Initial investment = 4($17,000) = $68,000
The PV of the OCF must be equal to this value at the financial break even since the NPV is 0:
$68,000 = OCF (PVIFA15%, 4)
$68,000 = OCF * [ 1 - ( 1+ r)^-n ] / r
$68,000 = OCF * [ 1 - ( 1+ 0.15)^-4] / 0.15
$68,000 = OCF * 2.85
OCF = $68,000/2.85
OCF = $23,859.65
Therefore, Break-even level of OCF = $23,859.65
Then,
QF= ($150,000 + $23,859.65)/($42 – $32)
QF= 17,385.97
Therefore, financial break-even quantity is 17,385.97
Alamo Inc. had $240 million in taxable income for the current year. Alamo also had a decrease in deferred tax assets of $26 million and an increase in deferred tax liabilities of $52 million. The company is subject to a tax rate of 25%. The total income tax expense for the year was:
Answer:
The total income tax expense was $138,000,000
Explanation:
Total income tax expense
Decrease in deferred tax assets $26,000,000
+Increase in deferred tax liabilities $52,000,000
+Income tax payable $60,000,000
Total income tax expense $138,000,000
Workings
Income tax payable = 25% * $240,000,000
Income tax payable = $60,000,000
What is the relationship between performance management and continuous quality improvement?
Explanation:
The relationship between performance management and continuous quality improvement is that performance management is configured as a systematization of organizational processes that will improve organizational systems and lead to the process of continuous quality improvement.
Performance management will help the company to analyze and improve all its activities, through actions such as improving working conditions, implementing new technologies, training employees, improving organizational communication, etc.
The performance management processes and actions will assist in the continuous improvement of the quality of each organizational system, since the two tools propose the planning, organization and monitoring of processes in order to improve them to achieve greater efficiency and quality for the achievement of the organization's goals and objectives.
An investment adviser registered with the SEC under the Investment Advisers Act of 1940 changes from an S Corporation to a C Corporation. Which statement is TRUE
Answer: An amendment to form ADV has to be filed promptly with SEC.
Explanation:
It should be noted that the form ADV which will be filed with the Securities Exchange Commission (SEC) consist of the compensation that will be received, the business history of the firm, disclosure of conflicts of interest and to know if the adviser has discretion or not.
You are planning to make monthly deposits of $70 into a retirement account that pays 12 percent interest compounded monthly. If your first deposit will be made one month from now, how large will your retirement account be in 24 years
Answer:
FV= $115,928.81
Explanation:
Giving the following information:
Monthly deposit= $70
Interest rate= 0.12/12= 0.01
n= 24*12= 288
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {70*[(1.01^288) - 1]} / 0.01
FV= $115,928.81
Some individuals want work that makes minimal intellectual demands and provides the security of routine; for them, ________ is a source of job satisfaction. low formalization high work specialization free flow of information high decentralization wide span of control
Answer: high work specialization
Explanation:
Job specialization is when workers have education, knowledge, and experience with regards to a particular area of expertise. It brings about efficiency at the workplace.
Some individuals want work that makes minimal intellectual demands and provides the security of routine; for them, high work specialization is a source of job satisfaction.
(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?
(b) Find the investors quarterly deposit if the money is deposited at 94% compounded quarterly.
The deposit should be__________. $ (Round to the nearest cent as needed)
Answer:
(a) The deposit should be $168.06 quarterly.
(a) The deposit should be $145.32 quarterly.
Explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
An investor needs $11,000 in 19 years.
(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?
(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.
The explanations to the answers are now given as follows:
(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?
Since the amount should be deposited in a fund at the end of each quarter, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:
FV = M * {[(1 + r)^n - 1] / r} ................................. (1)
Where,
FV = Future value of the amount needed in 19 years = $11,000
M = Quarterly deposit = ?
r = Quarterly interest rate = 7% / 4 = 0.07 / 4 = 0.0175
n = number of quarters the deposits will be made = 11 * 4 = 44
Substituting the values into equation (1) and solve for M, we have:
11,000 = M * {[(1 + 0.0175)^44 - 1] / 0.0175}
11,000 = M * 65.4531536741798
M = 11,000 / 65.4531536741798
M = $168.06
(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.
We make use of equation (1) in part (a) as follows:
Where,
FV = Future value of the amount needed in 19 years = $11,000
M = Quarterly deposit = ?
r = Quarterly interest rate = 9.4% / 4 = 0.094 / 4 = 0.0235
n = number of quarters the deposits will be made = 11 * 4 = 44
Substituting the values into equation (1) and solve for M, we have:
11,000 = M * {[(1 + 0.0235)^44 - 1] / 0.0235}
11,000 = M * 75.6957891651599
M = 11,000 / 75.6957891651599
M = $145.32
The Good Chocolate Company makes a variety of chocolate candies, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams)
a.
Specifications for the 12-ounce bar are 326 grams to 354 grams. What is the largest standard deviation (in grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your intermediate calculations to 2 decimal places and final answer to 3 decimal places.)
Standard deviation ? in grams
b.
The machine that fills the bar molds for the 1-ounce bars has a standard deviation of .86 gram. The filling machine is set to deliver an average of 1.03 ounces per bar. Specifications for the six-bar box are 153 to 187 grams. Is the process capable? Hint: The variance for the box is equal to six times the bar variance.
Yes?
or
No?
c.
What is the lowest setting in ounces for the filling machine that will provide capability in terms of the six-bar box? (Round your intermediate calculations to 2 decimal places and final answer to 3 decimal places.)
Lowest setting ? in ounces
Answer:
A) ≈ 3.509 grams
B) The process is not capable because the lowest Cpk which is 1.89 ≈ 1.9 is far from the ideal 1.33 capability index number ( NO )
c) 1.051 ounces
Explanation:
A) The largest standard deviation ( in grams)
This can be calculated applying the capability index formula and according to the capability index formula the value at which a process is capable is at : 1.33
hence the largest standard deviation = upper limit - lower limit / 6 * 1.33
( 354 - 326 ) / 7.98 = 3.5087 ≈ 3.509 grams
B) we first calculate the process mean and std of the box
standard deviation = [tex]\sqrt{variance }[/tex]
std of the six-bar box = [tex]\sqrt{6*0.86^2}[/tex] = 2.106
process mean = 6 * ( 1.03 * 28.33) = 175.079
the mean is not centered between the upper specification and the lower specification hence we will apply the formulae used in calculating the capability index for an uncentered process
Cpk = (upper value - process mean) / (3 * std of box),
= (187 - 175.079) / ( 3 * 2.106) = 11.921 / 6.318 = 1.89
Cpk = (process mean - lower value ) / (3*std of box)
= ( 175.079 - 153 ) / (3 * 2.106) = 22.079 / 6.318 = 3.49
The process is not capable because the lowest Cpk which is 1.89 ≈ 1.9 is far from the ideal 1.33 capability index number ( N0 )
c ) lowest setting
calculate the value of the mean using capability index of 1.33
Cpk = (upper value - mean ) / 3 * std
mean = 187 - 1.33 * 3 * 2.106
= 187 - 8.40 = 178.60 grams
Cpk = ( process mean - lower value ) / 3 * std
mean = 1.33 * 3 * 2.106 + 153
= 8.40 + 153 = 161.40 grams
the lowest setting in ounces
= 178.60 / ( 6 bar * 28 .33)
= 178.60 / 169.98 = 1.051 ounces