Answer:
नजषनदजदनददजसकसककसकसकनसनसजसजसजसकस भने त्यो मस्त निद्रामा हिड्ने गरेको मेरो हो मेरो नाम बिबस कि भन्ने लाग्छ के भनौ भने पनि त्यो थाहा भयो कि भएन भन्ने कुरा पनि उल्लेख गर्नु रे ु च चय उनले सन् उo Bibas is hero DC COAII, y
A manufacturing company has the following budgeted overhead costs: Indirect materials: $0.50 per unit; Utilities: $0.25 per unit; Supervisory salaries: $60,000; Building rent: $80,000. If the company expects to produce 200,000 units using 100,000 hours of direct labor, the standard overhead rate will be $
Answer:
Predetermined manufacturing overhead rate= $1.45 per unit
Explanation:
First, we will calculate the variable overhead per unit:
Unitary variable overhead= Indirect materials + Utilities
Unitary variable overhead= 0.5 + 0.25
Unitary variable overhead= $0.75 per unit
Now, the total fixed overhead, and fixed overhead rate:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Total fixed overhead= Supervisory salaries + Building rent
Total fixed overhead= 60,000 + 80,000
Total fixed overhead= $140,000
Predetermined manufacturing overhead rate= 140,000 / 200,000
Predetermined manufacturing overhead rate= $0.7 per unit
Finally, the total predetermined overhead rate:
Predetermined manufacturing overhead rate= 0.75 + 0.7
Predetermined manufacturing overhead rate= $1.45 per unit
Your grandfather has offered you a choice of one of the three following alternatives: $11,500 now; $5,700 a year for five years; or $71,000 at the end of five years. Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.
Required:
a. Assuming you could earn 9 percent annually, compute the present value of each alternative.
b. Which alternative should you choose?
Answer:
1. $11,500
2. $22,171.01
3. $46,145.13
option 3. This is because it has the highest present value
Explanation:
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
option 2
Cash flow each year from year 1 to 5 = $5,700
I = 9
PV = 22,171,01
OPTION 3
Cash flow in year 5 = 71,000
I = 9
PV = 46,145.13
To determine PV using a financial calculator take the following steps:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
Entries for Discounted Note Payable A business issued a 90-day note for $57,000 to a creditor on account. The note was discounted at 8%. Assume a 360-day year.
a. Journalize the entry to record the issuance of the note. For a compound transaction, if an amount box does not require an entry, leave it blank. If necessary, round to one decimal place. Accounting numeric field
b. Journalize the entry to record the payment of the note at maturity.
Answer:
A. Dr Accounts payable 55,830
Dr Interest expense 1170
Cr Notes payable 57,000
B. Dr Notes payable 57,000
Cr Cash 57,000
Explanation:
A. Preparation of the journal entry to record the issuance of the note.
Dr Accounts payable 55,830
(57,000-1170)
Dr Interest expense (57,000*8%*90/360) 1170
Cr Notes payable 57,000
(To record the issuance of the note)
B. Preparation of the journal entry to record the payment of the note at maturity.
Dr Notes payable 57,000
Cr Cash 57,000
(to record the payment of the note at maturity)
At December 31, Hawke Company reports the following results for its calendar year.
Cash sales $1,432,910
Credit sales $3,376,000
In addition, its unadjusted trial balance includes the following items.
Accounts receivable $1,022,928 debit
Allowance for doubtful accounts $11,560 debit
Required:
Prepare the adjusting entry for this company to recognize bad debts
The adjusting entries for acknowledging the bad debts would be:
a). Bad Debts Expense $50 640
Allowance for Doubtful Accounts $50 640
b). Bad Debts Expense $48089.1
Allowance for Doubtful Accounts $48089.1
Bad debts:
Bad debts are described as debts that are unable to be recovered from their respective debtors.The key reasons for this could be:
The debtor is bankrupt and cannot pay the amount.The debtor flees away and thus, can't be compelled to pay.The given amounts are obtained as follows:
a). Given that,
Bad debts is 1.5% of credit sales.
Credit Sales = $3,376,000
Bad debts = 1.5% of $3,376,000
∵ Bad debts = 1.5/100 * $3,376,000
= $50 640
b). Given that,
Bad debts = 1 % of total sales.
Total Sales = Credit sale + Cash sale
= $3,376,000 + $1,432,910
= $4808910
Bad debts = 1% of 4808910
∵ Bad debts = 1/100 * $4808910
= $48089.1
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How is a monopolistically competitive market similar to a perfectly competitive market? A. Producers with market power set their own prices. B. Both have differentiated products with close substitutes. C. There are no restrictions on the entry of new firms. D. Both have homogeneous products with no close substitutes. Which of the following common features do monopolistically competitive markets and monopolies share? A. Barriers restrict new firms from entering. B. Consumers with market power set prices. C. Firms face downward-sloping demand curves. D. Producers with no market power set their own prices.
Answer:
c
c
Explanation:
A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.
In the long run, firms earn zero economic profit. If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.
Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.
A monopolistic competition is when there are many firms selling differentiated products in an industry. A monopolistic competition has characteristics of both a monopoly and a perfect competition. the demand curve is downward sloping. it sets the price for its goods and services.
An example of monopolistic competition are restaurants
When firms are earning positive economic profit, in the long run, firms enter into the industry. This drives economic profit to zero
If firms are earning negative economic profit, in the long run, firms leave the industry. This drives economic profit to zero
in the long run, only normal profit is earned
A monopoly is when there is only one firm operating in an industry. there are usually high barriers to entry of firms. the demand curve is downward sloping. it sets the price for its goods and services.
An example of a monopoly is a utility company
Could I Industries just paid a dividend of $1.15 per share. The dividends are expected to grow at a rate of 18 percent for the next six years and then level off to a growth rate of 7 percent indefinitely. If the required return is 15 percent, what is the value of the stock today
Answer: $26.56
Explanation:
Present value of stock = Dividend in year 1 / (1 + required rate of return) + Dividend in year 2 / (1 + required rate of return)² + Dividend in year 3 / (1 + required rate of return)³ + Dividend in year 4 / (1 + required rate of return)⁴ + Dividend in year 5 / (1 + required rate of return)⁵ + Dividend in year 6 / (1 + required rate of return)⁶ + Terminal value / (1 + required rate of return)⁶
Terminal value = ( Dividend in year 6 * (1 + growth rate) / ( required rate of return - growth rate)
= (1.15 * (1 + 18%)⁶ * (1 + 7%) ) / (15% - 7%)
= $41.5225
Present value of stock:
= (1.15 * 1.18) / (1 + 15%) + (1.15 * 1.18²) / (1 + 15%)² + (1.15 * 1.18³) / (1 + 15%)³ + (1.15 * 1.18⁴) / (1 + 15%)⁴ + (1.15 * 1.18⁵) / (1 + 15%)⁵ + (1.15 * 1.18⁶) / (1 + 15%)⁶ + (41.5225) / (1 + 15%)⁶
= $26.55585976
= $26.56
and Associates, a law firm, paid $30000 for 12 months' rent in advance on October 1 of the current year. The company's fiscal year-end is December 31. Prepare the journal entries for the rent payment on October 1 and the necessary adjusting journal entry on December 31. Omit explanations
Answer and Explanation:
The journal entries are shown below:
On Oct 1
Rent expense Dr $30,000
to cash $30,000
(being cash paid)
Here rent expense is debited as it increased the expense and credited the cash as it decreased the assets
On Dec 31
Rent expense Dr ($30,000 × 9 ÷ 12) $22,500
To prepaid rent $22,500
(being rent expense is recorded)
Here ent expense is debited as it increased the expense and credited the prepaid rent as it decreased the assets
Glen Inc. and Armstrong Co. have an exchange with no commercial substance. The asset given up by Glen Inc. has a book value of $72,000 and a fair value of $96,000. The asset given up by Armstrong Co. has a book value of $120,000 and a fair value of $114,000. Boot of $24,000 is received by Armstrong Co.What amount should Armstrong Co. record for the asset received
Answer:
the amount that should be recorded as the asset is $96,000
Explanation:
The computation of the amount that should be recorded as the asset is given below:
Book value of assets given up = $72,000
Add : cash paid in exchange. $24,000
Amount recorded as an asset should be $96,000
We simply added the book value and the cash paid amount for an exchange
Therefore the amount that should be recorded as the asset is $96,000
Total Cost Logistics Model takes into consideration ______. A. all of the transportation cost B. all of the handling cost C. all of fixed assets D. all of the inventory carrying cost
Answer:
Total Cost Logistics Model takes into consideration:
A. all of the transportation cost
B. all of the handling cost
D. all of the inventory carrying cost
Explanation:
The total cost logistics model includes all the logistics factors (transportation costs, inventory carrying costs, and administration costs). Logistics can be divided into procurement logistics, production logistics, sales logistics, recovery logistics, and recycling logistics.
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2022 Ethics and Compliance Test
2022 Ethics and Compliance Test
W PREVIOUS
X EXIT
Janine, currently enrolled in a 3-star plan,
discovers there is 5-star plan available where
she lives. She asks her agent, Josh, to enroll
her in the 5-star plan. Josh can advise Janine
of each of the following except:
Josh should tell Janine that she can only change her current plan to a 5-
star plan during the Annual Election Period.
Josh should tell Janine that she can only use the 5-Star SEP once per
calendar year.
Josh should tell Janine that she can change her current plan to a 5-star
Answer:
Janine and Josh
Josh can advise Janine of each of the following except:
Josh should tell Janine that she can only change her current plan to a 5-
star plan during the Annual Election Period.
Explanation:
The Special Election Period (SEP) for the 5-star Medicare Plan lasts one week, that is, between Nov. 30 and Dec. 8. However, there is an Annual Enrollment Period (AEP) that lasts from October 15th to December 7th. During the annual enrollment period, any plan holder can change her Medicare plan, depending on its availability in her area.
Happy Trails, a bicycle rental company, is considering purchasing three additional bicycles. Each bicycle would cost them $249.66. At the end of the first year the increase to their revenues would be $140 per bicycle. At the end of the second year the increase to their revenues again would be $140 per bicycle. Thereafter, there are no increases to their revenues. At which of the following interest rates is the sum of the present values of the additional revenues closest to the price of a bicycle?
a. 5 percent.
b. 6 percent.
c. 7 percent.
d. 8 percent.
Answer:
D
Explanation:
We are to determine the IRR of the purchase
The internal rate of return is a capital budgeting method that is used to determine the profitability of a project.
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
Cash flow in Y0 = -249.66
Cash flow in Y1 = 140
Cash flow in Y2 = 140
IRR = 8
To determine IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button
Beagle Corporation has 26,000 shares of $10 par common stock outstanding and 16,000 shares of $100 par, 5.50% cumulative, nonparticipating preferred stock outstanding. Dividends have not been paid for the past two years. This year, a $420,000 dividend will be paid. What are the dividends per share payable to preferred and common, respectively
Answer:
$16.5 per share; $6 per share
Explanation:
Calculation to determine the dividends per share payable to preferred and common, respectively
DIVIDENDS PER SHARE PAYABLE TO PREFERRED
First step
Total dividend paid to Preferred Stockholders
= Outstanding preferred stock × Par value of preferred stock × 5.50% × Number of years
Total dividend paid to Preferred Stockholders= 16000 × 100 × 5.50% × 3
Total dividend paid to Preferred Stockholders= $264,000
Second step
Total dividend per share paid to Preferred Stockholders= Total dividend paid to preferred ÷ No. of outstanding shares
Total dividend per share paid to Preferred Stockholders= $264,000 ÷ 16,000 shares
Total dividend per share paid to Preferred Stockholders= $16.5 per share
DIVIDENDS PER SHARE PAYABLE TO COMMON STOCKHOLDERS
First step
Total dividend paid to Preferred Stockholders
= Outstanding preferred stock × Par value of preferred stock × 5.50% × Number of years
Total dividend paid to Preferred Stockholders= 16000 × 100 × 5.50% × 3
Total dividend paid to Preferred Stockholders= $264,000
Second step
Total dividend per share paid to common Stockholders= (Dividend paid in the current year - Total dividend paid to preferred) ÷ Common stock outstanding shares
Total dividend per share paid to common Stockholders= ($420,000 - $264,000) ÷ 26,000
Total dividend per share paid to common Stockholders= $156,000 ÷ 26,000 shares
Total dividend per share paid to common Stockholders= 6 per share
Therefore the dividends per share payable to preferred and common, respectively is:
$16.5 per share; $6 per share
An entrepreneur purchased an existing bicycle shop that had between 13000
Answer:
Write the full question a so I can answer?
Monetary stimulus is only helpful to an economy: __________
a. experiencing significant negative externalities.
b. that's in recession.
c. with few public goods.
9 Given figures showing: Sales £8,200, Opening inventory £1,300, Closing inventory £900, Purchases £6,400, Carriage inwards £200, the cost of goods sold figure is (A) £6,800 (B) £6,200 (C) £7,000 (D) Another figure
Explanation:
the correct answer is
B)£6,200
Over the last ten years productivity grew faster in Oceania than in Freedonia and the population and total hours worked remained the same in both countries. It follows that:
a. real GDP per person must be higher in Oceania than in Freedonia.
b. real GDP per person grew faster in Oceania than in Freedonia.
c. the standard of living must be higher in Oceania than in Freedonia.
d. All of the above are correct.
Answer:
it's d. All are correctamundo
4. Problems and Applications Q4 Many observers believe that the levels of pollution in our society are too high. True or False: If society wishes to reduce overall pollution by a certain amount, it is efficient to have firms with lower costs reduce greater amounts of pollution than those with higher costs.
Answer: True
Explanation:
Firms with lower costs would also incur a lower cost when they try to reduce pollution so they should reduce more pollution because of this reduced cost that they will incur.
Firms with higher costs would then reduce less pollution because this would ensure that they do not spend too much on pollution reduction and incur even more costs.
If an investor has a choice of investing money at 6% compounded daily or 6.025% compounded quarterly which one is best
General Rule: Daily compounding gives a higher yield
Compounding works like this:
6.025% per quarter
Quarter 1: $100 x 6.025% = $6.025
Quarter 2: $106.025 x 6.025% = $6.388
Quarter 3: $112.413 x 6.025% = $6.7729
Quarter 4: $119.186 x 6.025% = $7.4491
Etc…
6% per day
Day 1: $100 x 6% = $6
Day 2: $106 x 6% = $6.36
...
Day 365: $193.47 x 6% = $11.96
Botosan Factory has budgeted factory overhead for the year at $468,602, and budgeted direct labor hours for the year are 280,600. If the actual direct labor hours for the month of May are 255,300, the overhead allocated for May is
Answer:
$426,351
Explanation:
Calculation to determine what the overhead allocated for May is
Using this formula
Overhead allocated for May=(Estimated overhead/Estimated total DLHs)*Overhead rate per DLHs
Let plug in the formula
Overhead allocated for May=($468,602/ 280,600)*255,300
Overhead allocated for May=$1.67*255,300
Overhead allocated for May=$426,351
Therefore the overhead allocated for May is $426,351
PlZ Help 70 points
Look at the circular flow diagram. Choose and define an environmental issue. Using the diagram as a guide, explain how the environmental issue you chose affects the relationship between the business and factor market. (4 points)
Answer:
Family and government are related to each other in terms of financial unit. Family pay charges to government and after that government utilize that cash for the individuals. Family gain the money by working in firms or by running their possess commerce. Natural issues such as discuss contamination can influence the relationship between family and government. Popleuses their possess transport to go to firms and the number of vehicles are expanding day by day which causes discuss contamination. The government can shape arrangements against personal transport and persuade individuals to utilize open transport which can be advantageous for government as government will straightforwardly get cash from family.
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Complete the following statements with one of the terms listed here. You may use a term more than once. Some terms may not be used at all. Capital turnover Direct fixed expenses Flexible budget variance Key performance indictors (KPIs) Profit center Sales margin Common fixed expenses Favorable variance Goal congruence Management by exception Return on investment (ROI) Unfavorable variance Cost center Flexible budget Investment center Master budget variance Revenue center Volume variance
Solution :
a). Flexible budget
A flexible budget is a budget that is prepared for the different volume level which was originally anticipated.
b). Flexible budget variance
It is the different between the flexible budget and the actual results.
c). Return on Investment
It is used to evaluate the performance of the investment centers. It is calculated by dividing operating income by the investment.
d). Favorable variance
The company has the favorable variance when the actual values are more than the budgeted values.
The difference between actual overhead costs incurred and the budgeted overhead costs based on a flexible budget is the: Multiple Choice Production variance. Controllable variance. Volume variance. Price variance. Quantity variance.
The difference between actual overhead costs incurred and the budgeted overhead costs based on a flexible budget is the controllable variance.
In accounting, there are two elements of a variance- rate variance and volume variance. While the rate variance refers to the difference in the actual price paid vs. the budgeted price, the volume variance refers to the portion of the variance in sales, unit usage.
The controllable variance is in the "rate" element of the variance.Controllable variance refers to the process by which the efficiency of using variable overhead resources is measured.This means that the controllable variance is the difference between the actual cost and the budgeted overhead cost.The calculation for this variance is: Actual overhear expense - (budgeted overhead cost x standard number of units)= overhead controllable variance.In short, we can say that the controllable variance is the amount that is not part of the volume variance. Rather, it is the difference in the overhead cost incurred and the budgeted overhead cost.
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Payroll Entries
The payroll register for D. Salah Company for the week ended May 18 indicated the following:
Salaries $615,000
Federal income tax withheld 165,000
The salaries were all subject to the 6.0% social security tax and the 1.5% Medicare tax. In addition, state and federal unemployment taxes were calculated at the rate of 5.4% and 0.8%, respectively, on $45,000 of salaries.
For a compound transaction, if an amount box does not require an entry, leave it blank.
a. Journalize the entry to record the payroll for the week of May 18.
May 18 Salaries Expense
Social Security Tax Payable
Medicare Tax Payable
Employees Federal Income Tax Payable
Salaries Payable
Feedback
Gross pay is the amount that employees have earned before taxes and deductions. A portion of employees' earnings are owed for such items as state and federal taxes. Net pay is also known as take-home pay.
b. Journalize the entry to record the payroll tax expense incurred for the week of May 18.
May 18 Payroll Tax Expense
Social Security Tax Payable
Medicare Tax Payable
State Unemployment Tax Payable
Federal Unemployment Tax Payable
Answer:
A. Dr Salaries expense 615000
Cr Social security tax payable 36900
Cr Medicare tax payable 9225
Cr Employment federal income tax payable
165000
Cr Salaries payable 403875
B. Dr Payroll tax expenses 48915
Cr Social security tax payable 36900
Cr Medicare tax payable 9225
Cr State unemployment taxes payable 2430
Cr Federal unemployment taxes payable 360
Explanation:
A. Preparation of the journal entry to record the payroll for the week of May 18.
May 18
Dr Salaries expense 615000
Cr Social security tax payable 36900
(615000*6%)
Cr Medicare tax payable 9225
(615000*1.5%)
Cr Employment federal income tax payable
165000
Cr Salaries payable 403875
(615000-36900-9225-165000)
(To record the payroll for the week of May 18)
B. Preparation of the journal entry to record the payroll tax expense incurred for the week of May 18
May 18
Dr Payroll tax expenses 48915
(36900+9225+2430+360)
Cr Social security tax payable 36900
(615000*6%)
Cr Medicare tax payable 9225
(615000*1.5%)
Cr State unemployment taxes payable 2430
(45000*5.4%)
Cr Federal unemployment taxes payable 360
(45000*0.8%)
(To record the payroll tax expense incurred )
A partial list of Waterways' accounts and their balances for the month of November 2016 follows:
Accounts Receivable $ 275,000
Advertising Expenses 54,000
Cash 260,000
Depreciation-Factory Equipment 16,800
Depreciation-Office Equipment 2,400
Direct Labor 42,000
Factory Supplies Used 16,800
Factory Utilities 10,200
Finished Goods Inventory, November 30 68,800
Finished Goods Inventory, October 31 72,550
Indirect Labor 48,000
Office Supplies Expense 1,600
Other Administrative Expenses 72,000
Prepaid Expenses 41,250
Raw Materials Inventory, November 30 52,700
Raw Materials Inventory, October 31 38,000
Raw Materials Purchases 184,500
Rent Factory Equipment 47,000
Repairs-Factory Equipment 4,500
Salaries 325,000
A list of accounts and their values are given above. From this information, prepare a partial balance sheet for Waterways Corporation for the month of November. (List Current Assets in order of liquidity.)
Answer:
Total current assets = $697,750
Explanation:
The partial balance sheet is as follows:
Waterways Corporation
Balance Sheet (Partial)
For the month of November 2016
Details $ $
Current Assets
Cash 260,000
Accounts Receivable 275,000
Finished Goods Inventory, November 68,800
Raw Materials Inventory, November 52,700
Prepaid Expenses 41,250
Total current assets 697,750
Note:
Cash is the most liquid of assets.
Accounts receivable which should be collected within 30 to 60 days are less liquid than cash, but more liquid than inventory.
Finished Goods Inventory which is expected to be sold and converted to cash within one year, and Raw Materials Inventory which is expected to be converted to finished good within one year are more liquid than Prepaid expense.
Therefore, the least liquid among current assets’ item above is the Prepaid Expense as it is cash paid for services not yet received..
A company's overhead rate is 60% of direct labor cost. Using the following incomplete accounts, determine the cost of direct materials used.
Goods in process inventory:
Beginning balance $100,800
D.M.
D.L.
O.H. F.G.
Ending balance $131,040
Answer: $113,120
Explanation:
Direct material used = Total cost of manufacturing - Direct labor - Factory overhead
Total cost of manufacturing = Ending WIP + Cost of manufacturing - Beginning WIP
= 131,040 + 324,800 - 100,800
= $355,040
Direct labor = Factory overhead * 100/60
= 90,720 * 100/60
= $151,200
Direct materials used = 355,040 - 151,200 - 90,720
= $113,120
Bramble Corp.’s cost of goods sold is $280000 variable and $170000 fixed. The company’s selling and administrative expenses are $160000 variable and $220000 fixed. If the company’s sales is $1080000, what is its net income?
Answer:
the net income is $250,000
Explanation:
The computation of the net income is given below:
= Sales - variable cost of goods sold - fixed cost of goods sold - variable selling & admin expense - fixed selling & admin expense
= $1,080,000 - $280,000 - $170,000 - $160,000 - $220,000
= $250,000
Hence, the net income is $250,000
The above formula should be applied for the same
Last year, you purchased a stock at a price of $64.00 a share. Over the course of the year, you received $2.20 per share in dividends and inflation averaged 2.7 percent. Today, you sold your shares for $69.00 a share. What is your approximate real rate of return on this investment
Answer:
8.55%
Explanation:
Calculation to determine your approximate real rate of return on this investment
First step is to calculate the Nominal return
Nominal return = ($69 - $64+ $2.20)/$64
Nominal return=7.2/$64
Nominal return= 0.1125
Now let calculate the Approximate real return
Approximate real return = 0.1125 - 0.027
Approximate real return= 0.0855*100
Approximate real return=8.55%
Therefore your approximate real rate of return on this investment is 8.55%
Variable costs as a percentage of sales for Lemon Inc. are 71%, current sales are $551,000, and fixed costs are $207,000. How much will operating income change if sales increase by $37,600? a.$10,904 increase b.$26,696 decrease c.$26,696 increase d.$10,904 decrease
Answer: a.$10,904 increase
Explanation:
Operating income before sales increase:
= Sales - Variable costs - Fixed costs
= 551,000 - (71% * 551,000) - 207,000
= -$47,210
Operating income after sales increase:
Sales increases to:
= 551,000 + 37,600
= $588,600
= 588,600 - (71% * 588,600) - 207,000
= -$36,306
Difference:
= -47,210 - (-36,306)
= Increase of $10,904
(a) A lamp has two bulbs of a type with an average lifetime of 1800 hours. Assuming that we can model the probability of failure of these bulbs by an exponential density function with mean μ = 1800, find the probability that both of the lamp's bulbs fail within 2000 hours.
(b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1000 hours.
Answer:
a) 0.45
b) 0.11
Explanation:
A) P( both bulbs fail within 2000 hours ) = 0.45
Given data:
Average lifetime of bulbs = 1800 hours
mean μ = 1800
b) P( both bulbs fail within 1000 hours ) =
Attached below is a detailed solution of the given question
In his work Divine Comedy, the 14-century Italian poet Dante described a trip into space. As he traveled away from Earth, he visited the following celestial bodies in order: the moon, Mercury, Venus, the sun, Jupiter, and Saturn. What view of solar system structure did Dante hold? How do you know? Compare this view with a modern understanding of the solar system’s structure.
According to Italian poet Dante;
Dante believed in a geocentric conception of the planetary system, wherein the Earth seems to be at the centre while the moon, sun, and other planets revolve around it.
Explanation:
Researchers understand Dante had a geocentric perspective of the solar system since he would have visited Venus earlier Mercury in a sun-centered worldview.According to Dante's interpretation of the solar system, the crescent, sun, and planet all revolve around Earth. According to current thinking, only the moon revolves Earth; the Earth and then all the planets remain in orbit of sun.Learn more:
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