Answer:
Indigo Corporation
Assets = Liabilities + Stockholders' Equity
1. Cash $150,000
Common Stock $150,000
2. Cash $40,000
Bonds Payable $40,000
3. Delivery trucks $55,000
Cash ($55,000)
4. Cash $17,000
Accounts Receivable ($17,000)
5. Supplies $6,700
Accounts Payable $6,700
6. Cash ($4,200) ($4,200) Rent expense
7. Accounts Receivable 11,700 $11,700 Service revenue
8. Cash ($26,800) ($26,800) Salaries exp.
9. Cash ($11,200) ($11,200) Dividends
Assets $166,200 = $46,700 + $119,500
Explanation:
a) Data and Analysis (Accounting Equation Effect):
1. Cash $150,000 Common Stock $150,000
2. Cash $40,000 Bonds Payable $40,000
3. Delivery trucks $55,000 Cash $55,000
4. Cash $17,000 Accounts Receivable $17,000
5. Supplies $6,700 Accounts Payable $6,700
6. Cash ($4,200) Rent Expense ($4,200)
7. Accounts Receivable $11,700 Service Revenue $11,700
8. Cash ($26,800) Salaries ($26,800)
9. Cash ($11,200) Dividends ($11,200)
Early in the year,manager John Jacobs set reasonable,understandable,and measurable performance standards and communicated these standards clearly to all team members.Because of these efforts,he should be prepared for the next step in the appraisal process. The first two steps in performance appraisal are establishing performance standards and communicating them to subordinates.The third step is to evaluate performance,and if the first two steps are done correctly,this step is relatively easy.
A. True
B. False
Answer:
A. True
Explanation:
Performance evaluation of an employee should be based on his performance. He should be communicated with expected performance and then analysis should be done against standard and actual performance. When John Jacob has set performance standards and clearly communicates it to all team members the appraisal process would be relatively easy.
Zebra Company sells a segment of its operations at a loss. Zebra has not previously experienced such an event and does not expect to again. The loss from the disposal of the segment should be reported in the income statement as: Select one: A. A separate amount in comprehensive income B. A separate amount in net income from continuing operations C. A separate amount in a discontinued operations section D. As part of cost of goods sold
Answer:
C. A separate amount in a discontinued operations section
Explanation:
Since in the given situation it is mentioned that zebra co sells the segment at a loss so this loss from the sale of the segment that should be reported in the income statement as the distinct amount in the discontinued operating section as the same below the income from continuing operations
Hence, the correct option is c.
Answer:
The answer is "Option C".
Explanation:
The discontinued operations are parts of a company's core business or product line that have been sold or shut down and thus are reported separately on the financial statements from ongoing operations. As a result, any loss from the sale of the segment should indeed be reported as a separate amount inside the income statement's discontinued operations column.
What is the loan balance (in dollars) after the third payment, of a 5 year loan of $100,000 with an APR of 10% and annual payments
"All three levels are required to run an organization or a business smoothy"Justify the statement.
Answer:
"All three levels are required to run an organization or a business " according to my point of view it is true without anyone levels (sector) business or organization not imagine to run
Year Nominal GDP Real GDP GDP Deflator (Dollars) (Base year 2016, dollars) 2016 2017 2018 From 2017 to 2018, nominal GDP , and real GDP. The inflation rate in 2018 was.
Why is real GDP a more accurate measure of an economy's production than nominal GDP?
Answer:
Explanation:
The Real GDP is defined as the Nominal GDP minus the inflation effect.
Real GDP provides a more accurate picture of economic growth than nominal GDP because it uses constant prices, making comparisons between years more meaningful by allowing for comparisons of the actual volume of goods and services without considering inflation.
Let's say you bought apples at 5dollars per pound in 2015. Imagining a country of 1000 people and considering everyone bought a pound apples and only apples in that year, the GDP comes out to be 1000*5 = 5000 dollars.
Now let's say inflation rate is 10 percent in 2016 which will increase the price to 5.5 dollars per pound. Also, in one year, 10 more people were added to the country (No of births - No of deaths = New people in that year), this brings out total population to around 1010.
Also, let's say that the sale of apples remained the same, so the GDP of 2016 comes out to be 1000*5.5 = 5500 dollars.
That's a whooping 10% increase in GDP, right?
But here the catch.
The GDP increased not because the demand increased, but because the price of the good increased.
If we see at previous year's price (Not considering the inflation, also called Real GDP), the GDP is same which is 5000 dollars.
So, in reality, there isn't any increase in GDP.
Cox Engineering performs cement core tests in its laboratory. The following standards have been set for each core test performed: Std. Hours or Quantity Std. Price or Rate Direct materials 3 pounds $0.75 per pound Direct labor 0.4 hours $12 per hour During March the laboratory performed 2,000 core tests. The following events occurred during March: 8,600 pounds of sand were purchased at a cost of $7,310. 7,200 pounds of sand were used for core tests. 840 actual direct labor hours were worked at a cost of $8,610. The direct material usage variance for March is:
Answer:
1200 U
Explanation:
Standard of material usage:
Material required 3 pounds per test
2000 core tests performed
Standard usage : 2,000 test * 3 pound per test = 6000 pounds
Actual usage of material = 7,200
Variance = 1,200 unfavorable.
Complete accounting cycle and financial statements
The city council of E. Staatsboro approved the following budget for the General Fund for fiscal year 2019.
Estimated Revenues
Property taxes $335,000
License fees 40,000
Fines and penalties 15,000
Total revenues $390,000
Appropriations
Salaries $350,000
Supplies and utilities 30,000
Debt service 3,000
Total appropriations 383,000
Budgeted Increase in Fund Balance $7,000
The postclosing trial balance for the fund, as of December 31, 2018, was as follows:
Debits Credits
Cash $15,000
Vouchers payable $8,000
Fund balance (unassigned) 7,000
$15,000 $15,000
The following transactions and events occurred during FY 2019.
1. Levied property taxes of $335,000 and mailed tax bills to property owners.
2. Borrowed $300,000 on tax anticipation notes at an interest rate of 1 percent per annum.
3. Ordered supplies expected to cost $18,000.
4. The supplies arrived, along with an invoice for $19,000; the city paid the invoice immediately.
5. Received cash ($383,000) from the following sources: property taxes ($330,000), licenses and fees ($38,000), fines and penalties ($15,000).
6. Paid cash for the following purposes: unpaid vouchers at the start of year ($8,000); salaries ($340,000); utility bills ($11,000).
7. Repaid the tax anticipation notes 6 months after date of borrowing, with interest.
8. Processed a budgetary interchange, increasing the appropriation for supplies and utilities by $2,000 and reducing the appropriation for salaries by the same amount.
9. Will pay salaries for the last few days in December, amounting to $2,000, at the end of the first pay period in January 2020; also, received in early January 2020 a utilities invoice for $1,000 applicable to December 2019.
Use the preceding information to do the following:
a. Prepare journal entries to record the budget and the listed transactions and events.
b. Prepare a preclosing trial balance.
c. Prepare a balance sheet; a statement of revenues, expenditures, and changes in fund balance; and a budgetary comparison schedule.
An example of a good that is excludable is: _________
a) an outdoor sculpture visible from the street.
b) a television set.
c) broadcast television.
d) an aerial fireworks display.
Answer:
b) a television set
Explanation:
Excludable goods can be regarded as a s private goods, unlike non-excludable goods which are public goods. Instance of this is that
everyone can utilize public road, but going to cinema cannot be for everyone the way they please, this is because, ticket need to be bought to get access, as ticket is bought, this can excludes somebody else since there is because limited seat. It should be noted that good can be regarded as a excludable, in situation whereby supplier of that good successfully prevent individual that do not pay from consuming it. An example of a good that is excludable is television set
MC algo 8-18 Valuing Stock Asonia Co. will pay a dividend of $5.10, $9.20, $12.05, and $13.80 per share for each of the next four years, respectively. The company will then close its doors. If investors require a return of 9.4 percent on the company's stock, what is the stock price?
a. $3708
b. $32.88
c. $42.38
d. $3119
e. $35.41
Answer:
d. $31.19
Explanation:
The computation of the stock price is shown below
Stock Price is
= [$5.10 ÷ (1 + 0.094)^1 + $9.20 ÷ (1 + 0.094)^2 + $12.05 ÷ (1 + 0.094)^3 + $13.80 ÷ (1+0.094)^4]
= $4.66 + $7.69 + $9.20 + $9.63
= $31.19
hence, the option d is correct
You have just deposited $9,000 into an account that promises to pay you an annual interest rate of 6.1 percent each year for the next 7 years. You will leave the money invested in the account and 15 years from today, you need to have $25,650 in the account. What annual interest rate must you earn over the last 8 years to accomplish this goal
Answer:
Annual interest rate = 8.23%
Explanation:
The annual interest rate i must have earn over the last 8 years to accomplish this goal is:
= ((25650/(9000*(1+6.1%)^7))^(1/8))-1
= ((25650/(9000*1.513588))^(1/8)) - 1
= ((25650/13622.29)^(1/8) - 1
= 1.882943323038931^(1/8) - 1
= 1.08231743862 - 1
= 0.08231743862
= 8.231743862%
= 8.23%
What is the present value of a 10-year annuity of $3,000 per period in which payments come at the beginning of each period
Answer: $18984.9
Explanation:
Your question isn't complete as you didn't give the interest rate. Let's assume that the interest rate is 12%.
Therefore, the present value will be:
= 3000 + 3000[1 - (1 + 0.12)^-10+1] / 0.12
= 3000 + (3000 × 5.3283)
= 3000 + 15984.9
= 18984.9
Therefore, the present value is $18984.9
A company is evaluating a new 4-year project. The equipment necessary for the project will cost $3,500,000 and can be sold for $715,000 at the end of the project. The asset is in the 5-year MACRS class. The depreciation percentage each year is 20.00 percent, 32.00 percent, 19.20 percent, 11.52 percent, and 11.52 percent, respectively. The company's tax rate is 34 percent. What is the aftertax salvage value of the equipment?
Hint: 1. Find the remaining book value at the end. 2. Subtract this from the expected sale price to find the gain on sale. 3. Apply the tax rate to this gain to find the taxes owed. 4. The after-tax salvage value is the sale price minus the taxes.
a) $715,000.
b) $752,468.
c) $540,444.
d) $677,532.
e) $471,900.
Answer:
d) $677,532.
Explanation:
1.
Written down value of the equipment after 4 years = Cost x ( 100% - 1st year MACRS - Second-year MACRS - Third-year MACRS - Fourth-year MACRS ) = $3,500,000 x ( 100% - 20% - 32% - 19.20% - 11.52% ) = $604,800
2.
Now calculate the gain on the sale of equipment
Gain on the sale of equipment = Sale Price - Written down Value after 4 years = $715,000 - $604,800 = $110,200
3.
Tax owed = Gain on the sale x Tax rate = $110,200 x 34% = $37,468
After-tax salvage value = Sales price - Tax = $715,000 - $37,468 = $677,532
XYZ Tile Installation Corporation measures its activity in terms of square feet of tile installed. Last month, the budgeted level of activity was 1,180 square feet and the actual level of activity was 1,270 square feet. The company's owner budgets for supply costs, a variable cost, at $3.50 per square foot. The actual supply cost last month was $4,980. What would have been the spending variance for supply costs
Answer:
The appropriate solution is "$535 U". A further explanation is described below.
Explanation:
The given values are:
Actual level of activity,
= 1270
Budgeted variable cost,
= $3.50
Actual supply cost,
= $4980
Now,
The spending variance for supply costs will be:
= [tex](Actual \ level \ of \ activity\times Budgeted \ variable \ cost)\times Actual \ supply \ cost[/tex]
= [tex](1270\times 3.50)-4980[/tex]
= [tex]4445-4980[/tex]
= [tex]535[/tex] (unfavorable)
The technique for linking a manufacturer's operations with those of all its strategic suppliers and its key intermediaries and customers to enhance efficiency and effectiveness is
Supply chain management
Total assets were $78,000 and total liabilities were $42,000 at the beginning of the year. Net income for the year was $15,500, and dividends of $5,000 were declared and paid during the year.
Required:
Calculate total stockholders' equity at the end of the year.
Answer:
$46,500
Explanation:
Accounting equation is stated as :
Assets = Equity + Liabilities
therefore,
Equity = Assets - Liabilities
Equity at Beginning of the Period :
Equity = Assets - Liabilities
= $78,000 - $42,000
= $36,000
Equity at end of the Period
Closing Equity Balance = Opening Balance + Net Income - Dividends
= $36,000 + $15,500 - $5,000
= $46,500
XYZ pays for 40% of its raw materials purchases in the month of purchase and 60% in the following month. Budgeted cost of materials purchases in July is $256,550 and $278,050 in Aug. Total budgeted cash disbursements for materials purchases in August is:______.
A) S265,150
B) $153,930
C) $166,830
D) S111,220
Answer:
$265,150
Explanation:
Cost of material purchases in July
= 256,550 × 60/100
= 256,550×0.6
= 153,930
Cost of purchases in August
= 278,050×40/100
= 278,050×0.4
= 111,220
Total cash disbursement
= 111,220+153,930
= $265,150
During 2019, $27,000 of cash dividends were declared and paid. A patent valued at $80,000 was obtained in exchange for land. Equipment that originally cost $20,000 and had $7,000 accumulated depreciation was sold for $13,000 cash. Bonds payable were sold for cash and cash was used to pay for structural improvements to the building. Required a. Compute the change in cash that occurred during 2019. b. Prepare a statement of cash flows using the indirect method
Answer:
a. Change in Cash that occurred during 2019:
Cash outflow $27,000
Cash inflow = $13,000
Net outflow = $14,000
b. Statement of Cash Flows for the year ended December 31, 2019:
Investing activities:
Sale of Equipment $13,000
Financing activities:
Payment of dividends ($27,000)
Net cash outflow = $14,000
Explanation:
a) Data and Calculations:
Cash dividends paid during 2019 = $27,000
Patent purchased = $80,000
Land sold in exchange of patent = $80,000
Sale of equipment = $13,000
Sales of Bonds Payable = Cost of Building Improvements
On June 30, Collins Management Company purchased land for $640,000 and a building for $960,000, paying $800,000 cash and issuing a 7% note for the balance, secured by a mortgage on the property. The terms of the note provide for 20 semiannual payments of $40,000 on the principal plus the interest accrued from the date of the preceding payment.a. Journalize the entry to record the transaction on June 30. June 30.b. Journalize the entry to record the payment of the first installment on December 31. Dec. 31.c. Journalize the entry to record the payment of the second installment the following June 30. Assume a 360-day year
Answer:
hhd
soon after the following URLS
The following information was available from the inventory records of Rich Company for January:
Units Unit Cost Total Cost
Balance at January 1 9,000 $9.77 $87,930
Purchases:
January 6 6,000 10.30 61,800
January 26 8,100 10.71 86,751
Sales:
January 7 (7,500)
January 31 (11,100)
Balance at January 31 4,500
A. Assuming that Rich does not maintain perpetual inventory records, what should be the inventory at January 31, using the weighted-average inventory method, rounded to the nearest dollar?
a. $47,270.
b. $46,067.
c. $46,170.
d. $46,620.
B. Assuming that Rich maintains perpetual inventory records, what should be the inventory at January 31, using the moving-average inventory method, rounded to the nearest dollar?
a. $47,270.
b. $46,067.
c. $46,170.
d. $46,620.
Please EXPLAIN answer for a thumps-up. I'm tried of wrong answers, please don't answer it unless you are 100% sure.
Answer:
A. The correct option is b. $46,067.
B. The correct option is d. $46,620.
Explanation:
Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf file for the complete question with the sorted data.
The explanation of the answers is now given as follows:
A. Assuming that Rich does not maintain perpetual inventory records, what should be the inventory at January 31, using the weighted-average inventory method, rounded to the nearest dollar?
Note: See part A of the attached excel file for the calculation of the of units and cost of goods available for sale.
Since Rich does not maintain perpetual inventory records, this implies that this is a periodic inventory system. And update to inventory in a periodic inventory system are made on a regular basis, such as monthly, quarterly, etc.
From the part A attached excel file, we have:
Units of goods available for sale = 23,100
Cost of goods available for sales = $236,481
Weighted-average cost per unit = Cost of goods available for sales / Units of goods available for sale = $236,481 / 23,100 = $10.2372727272727
Inventory at January 31 = Units of inventory balance at January 31 * Weighted-average cost per unit = 4,500 * $10.2372727272727 = $46,068
From the options the closest one is b. $46,067. Therefore, the inventory at January 31 is $46,067 and the correct option is b. $46,067.
B. Assuming that Rich maintains perpetual inventory records, what should be the inventory at January 31, using the moving-average inventory method, rounded to the nearest dollar?
Note: See part B of the attached excel file for the calculation of the inventory at January 31 (in bold red color).
Under Perpetual Inventory system, the inventory is updated whenever a purchase or sale is made. It's a procedure that happens in real time.
In the Part B of the attached excel file, the following rates in light red color are made as follows:
Rate on January 6 = ($87,930 + $61,800) / 15,000 = $9.98 per unit
Rate on January 26 = ($74,865 + 86,751) / 15,600 = $10.36 per unit
From the part B attached excel file, we have:
Inventory at January 31 = $46,620.
Therefore, the correct option is d. $46,620.
_______ is best described as the process of transformation of an idea into a new product or process, or the modification and recombination of existing ones.
Answer: Invention
Explanation:
Invention simply refers to the process for transforming an idea into a new product or the modification and the recombination of existing ones.
Invention is the unique method, or process that's used in the creation of a product or may be an improvement on a product or machine that's already created.
The information below applies to a competitive firm that sells its output for $40 per unit.
• When the firm produces and sells 150 units of output, its average total cost is $24.50.
• When the firm produces and sells 151 units of output, its average total cost is $24.55.
How does the firm's marginal revenue (MR) compare to its marginal cost (MC) when it increases its output from 150 units to 151 units?
a. MR exceeds MC by $7.95.
b. MR exceeds MC by $11.05.
c. MC exceeds MR by $11.05.
d. MC exceeds MR by $13.50.
Answer:
A
Explanation:
Marginal cost is the change in total cost when output is increased by 1 unit
total cost = average cost x quantity
Marginal cost = (151 x 24.55) - (150 x 24.50) = 32.05
marginal
Which of the following non-GAAP disclosures is LEAST LIKELY to create variance between GAAP and non-GAAP operating income:
a. Goodwill impairment
b. Inventory write down
c. Currency loss from closing of a foreign subsidiary
d. Gain on sale of an asset
Answer: c. Currency loss from closing of a foreign subsidiary.
Explanation:
GAAP refers to the industry standard and it gives a clear view of the operations of a business from a financial point of view. On the other hand, the non-GAAP disclosure deviates from the industry standard and in such case, adjustments are made to show company's operations.
The non-GAAP disclosures which is least likely to create variance between GAAP and non-GAAP operating income is the currency loss from closing of a foreign subsidiary.
Standard and actual costs for direct materials for the manufacture of 1,000 units of product were as follows:
Actual costs 1,550 lbs. at $9.10
Standard costs 1,600 lbs. at $9.00
Determine the (a) quantity variance, (b) price variance, and (c) total direct materials cost variance. Enter favorable variances as negative numbers.
a. Quantity variance $______
b. Price variance $______
c. Total direct materials cost variance
Answer and Explanation:
The computation is shown below;
a.
Materials quantity variance is
= (Actual quantity used × Standard price) - (Standard quantity allowed × Standard Price)]
= (1550 × 9.00) - (1600 × 9.00)
= $(450.00)
= $450 favorable
b.
Direct materials price variance is
Materials Price Variance = (Actual quantity purchased × Actual price) - (Actual quantity purchased × Standard price)
= (1550 × 9.10) - (1550 ×$9.00)
= $155
= $155 unfavorable
c.
Total direct materials cost variance is
= Materials quantity variance + Direct materials price variance
= -$450 + $155
= -$295
= $295 Favorable
Tan Corporation of Japan has two regional divisions with headquarters in Osaka and Yokohama. Selected data on the two divisions follow: Division Osaka Yokohama Sales $ 9,600,000 $ 26,000,000 Net operating income $ 672,000 $ 2,340,000 Average operating assets $ 3,200,000 $ 13,000,000 Required: 1. For each division, compute the return on investment (ROI) in terms of margin and turnover. 2. Assume that the company evaluates performance using residual income and that the minimum required rate of return for any division is 16%. Compute the residual income for each division.
Answer and Explanation:
The computation is shown below;
a. The return on investment is
= Margin turnover
= Net operating income ÷ sales × sales ÷ average operating assets
For Osaka
= $672,000 ÷ $9,600,000 × $9,600,000 ÷ $3,200,000
= 21%
For Yokohama
= $2,340,000 ÷ $2,600,000 × $2,600,000 ÷ $13,000,000
= 18%
2. The residual income is
= Net operating income - (average operating assets × rate of return)
For Osaka
= $672,000 - ($3,200,000 × 16%)
= $160,000
For yokohama
= $2,340,000 - ($13,000,000 × 16%)
= $260,000
A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 7.3%, and sells for $1,170. Interest is paid annually.a. If the bond has a yield to maturity of 10.7% 1 year from now, what will its price be at that time? (Do not round intermediate calculations. Round your anser to nearest whole number.)b. What will be the annual rate of return on the bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)c. Now assume that interest is paid semiannually. What will be the annual rate of return on the bond?Slightly greater than your part b answerSlightly less than your part b answerd. If the inflation rate during the year is 3%, what is the annual real rate of return on the bond? (Assume annual interest payments.) (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)
Answer:
a. Price 1 year later = $810
b. Annual rate of return on the bond = -24.53%
c. Since -24.79% is lower than -24.53% obtained part b, this implies that annual rate of return is slightly less than our part b answer.
d. Annual real rate of return on the bond = -26.73%
Explanation:
a. If the bond has a yield to maturity of 10.7% 1 year from now, what will its price be at that time? (Do not round intermediate calculations. Round your answer to nearest whole number.)
This can be calculated as follows:
Price 1 year later = Coupon rate * Par value / Yield to maturity * (1 - 1 / (100% + Yield to maturity)^Years to maturity) + Par value / (100% + Yield to maturity)^Years to maturity = 7.3% * 1000 / 10.7% * (1 - 1 / (100% + 10.7%)^9) + 1000 / (100% + 10.7%)^9 = $810
b. What will be the annual rate of return on the bond? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)
This can be calculated as follows:
Annual rate of return on the bond = (Price 1 year later + Coupon rate * Par value) / Price now - 1 = (810 + 7.3% * 1000) / 1170 - 1 = -24.53%
c. Now assume that interest is paid semiannually. What will be the annual rate of return on the bond?Slightly greater than your part b answer Slightly less than your part b answer
This can be determined as follows:
Price 1 year later = (Coupon rate / 2) * Par value / (Yield to maturity / 2) * (1 - 1 / (100% + (Yield to maturity / 2))^(Years to maturity * 2)) + Par value / (100% + (Yield to maturity / 2))^(Years to maturity * 2) = (7.3% / 2) * 1000 / (10.7% / 2) * (1 - 1 / (100% + (10.7% / 2))^(9 * 2)) + 1000 / (100% + (10.7% / 2))^(9 * 2) = $807
Annual rate of return on the bond = (Price 1 year later + Coupon rate * Par value) / Price now - 1 = (807 + (7.3% / 2) * 1000) / 1170 - 1 = -24.79%
Since -24.79% is lower than -24.53% obtained part b, this implies that annual rate of return is slightly less than our part b answer.
d. If the inflation rate during the year is 3%, what is the annual real rate of return on the bond? (Assume annual interest payments.) (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.)
This can be calculated as follows:
Annual real rate of return on the bond = (1 + nominal return) / (1 + inflation)-1 = (1 - 24.53%) / (1 +3 %) - 1 = -26.73%
mention any four components of the marketing communication policy
Answer:
Mix advertising, public relations, sales promotion and personal selling
The Widget Co. can produce widgets according to the formula: q = 5K^3/4 L^1/4 where q is the output of widgets, and K, L are the quantities of capital and labor used.
a. Are there constant, increasing or decreasing returns to scale in widget production? Explain.
b. Are there, constant, increasing or decreasing marginal products of factors? Explain
c. In the short run, the amount of capital used by company A. is fixed. Derive the short-run cost function. (Note that the short-run cost function will show C as a function of Q, K and the factor prices w and r.)
d. Derive the long-run cost function.
Answer:
A) Constant Return to Scale
B) Decreasing Marginal Products
C) Short Run Cost Function = w*(Q/5)4 *(1/K`3) + rK`
D) (2Q/5)*(r3/4)*(w1/4)
Explanation:
A) Q(tL,tK) = 5*(tK)3/4*(tL)1/4
= t*Q(L,K)
Hence it exhibits constant return to scale
B) Here MPK = dQ/dK
= (3/4)* 5*L1/4*K-1/4
So dMPK/dK = (-3/16)*5*L1/4*K-5/4
Hence dMPK/dK < 0
thus exhibits decreasing Marginal Products
(Similarly for Labor also)
C) let K is fixed at K`
So Q = 5*K`3/4*L1/4
So L = (Q/5)4*(1/K`3)
So Short Run Cost Function = w*L + r*K`
C = w*(Q/5)4 *(1/K`3) + rK`
D) in long run, MRTS = MPL / MPK = w/r
So K/L = w/r
Thus rK = wL
So from production function
Q = 5*(wL/r)3/4*L1/4
= 5*(w/r)3/4*L
L* = (Q/5)*(r/w)3/4
similarly K* = (Q/5)*(w/r)1/4
so Long Run Cost Function = wL* + rK*
= (2Q/5)*(r3/4)*(w1/4)
The new office supply discounter, Paper Clips, Etc. (PCE), sells a certain type of ergonomically correct office chair. The annual holding cost per unit is $25, annual demand is 180,000 chairs, and the ordering cost is $150 per order. The lead time is 5 days. Because demand is variable (standard deviation of daily demand is 30 chairs), PCE has decided to establish a customer service level of 96%. The store is open 300 days per year.
Required:
a. What is the optimal order quantity?
b. What is the safety stock?
c. What is the reorder point?
d. What is the optimal annual total inventory cost?
Solution :
Given data:
Annual demand, D = 180,000 chairs
Ordering cost, F = $ 150 per order
Annual holding cost per unit, C = $25
Lead time of order, L = 5 days
Standard deviation of order during lead time = 30
a). The optimal order quantity
[tex]$=\sqrt{\frac{2FD}{C}}$[/tex]
[tex]$=\sqrt{\frac{2\times 150 \times 180,000 }{25}}$[/tex]
= 1469.69
= 1470 (rounding off)
b). The Z value of the customer service of 90%,
i.e., the probability of 0.90 as per normal distribution table = 1.29
∴ Safety stock = Z value x standard deviation of order during lead time
= 1.29 x 30
= 38.7
= 39 (rounding off)
c). The reorder point
[tex]= \text{Average demand per day} x \text{Demand lead time (day) + Safety stock}[/tex]
[tex]$=\frac{\text{annual demand}}{\text{300 days}} \times \text{ Demand Lead time (days) + Safety stock}$[/tex]
[tex]$=\frac{180,000}{300} \times 5 + 39$[/tex]
= 3039
d). The optimal annual total inventory cost
[tex]$\text{= Annual ordering cost + Annual Inventory carrying cost}$[/tex]
[tex]$\text{= Number of orders} \times \text{Ordering cost + Average inventory} \times }$[/tex] [tex]$\text{Inventory holding cost per unit per year}$[/tex]
[tex]$=\frac{\text{annual demand}}{\text{optimum order quantity}} \times \text{ordering cost+}\frac{\text{optimum ordering cost}}{2}\times C$[/tex]
[tex]$=\frac{180,000}{1470} \times 150 + \frac{1470}{2} \times 25$[/tex]
= 18367.34 + 18375
= $ 36,742.34
Rocky Mountain Corporation makes two types of hiking boots—Xactive and Pathbreaker. Data concerning these two product lines appear below: Xactive Pathbreaker Direct materials per unit $ 64.00 $ 50.20 Direct labor cost per unit $ 17.40 $ 12.20 Direct labor-hours per unit 1.4 DLHs 1 DLHs Estimated annual production and sales 17,000 units 67,000 units The company has a conventional costing system in which manufacturing overhead is applied to units based on direct labor-hours. Data concerning manufacturing overhead and direct labor-hours for the upcoming year appear below: Estimated total manufacturing overhead $1,743,360 Estimated total direct labor-hours 90,800 DLHs
Requried:
a. Compute the predetermined overhead rate based on direct labor-hours.
b. Using the predetermined overhead rate and other data from the problem, determine the unit product cost of each product.
Answer:
1a. Predetermined overhead rate = Estimated total manufacturing overhead / Estimated total direct labor-hours
Predetermined overhead rate = $1,743,360 / 90,800 DLHs
Predetermined overhead rate = $19.20 per DLH
1b. Computation of Unit Product Cost
Xactive Pathbreaker
Direct material $64.00 $50.20
Direct Labor $17.40 $12.20
Manufacturing overhead ((1.4, 1)*$19.20) $26.88 $19.20
Unit product cost $108.28 $81.60
Rosalia White will invest $3,000 in an IRA for the next 30 years starting at the end of this year. The investment will earn 13 percent annually. How much will she have at the end of 30 years
Answer:
$879,597.65
Explanation:
The future value of an ordinary annuity formula is applicable in this case, since an ordinary annuity is such that payments into the accounts are expected to occur at the end of the periods rather than at the beginning of each year:
FV=yearly payment*(1+r)^n-1/r
yearly payment=$3,000
r=13%
n=number of annual payments =30
FV=$3000*(1+13%)^30-1/13%
FV=$3000*(1.13)^30-1/0.13
FV=$3000*(39.11589796-1)/0.13
FV=$3000*38.11589796/0.13
FV=$879,597.65
