Answer:
no, since other things are not held constant, including her income
Explanation:
The law of demand states that price has an inverse relationship with quantity demanded of a good. As price increases the demand reduces, and as price decreases quantity demanded increases.
However this is true when all other factors reman constant.
In the given scenario the price of hamburger has fallen but Hilary buys less of it. This looks like a violation of the law of demand, but her income has changed so the law of demand may not hold here.
All factors do not remain constant.
Hilary's behaviour can be explained by the concept income effect. Where an increase in income leads to the consumer buying more of expensive goods than cheaper ones.
A municipal power plant uses natural gas from an existing pipeline at an annual cost of $10,000 per year. A new pipeline would initially cost $35,000, but it would reduce the annual cost to $4000 per year. Assume an analysis period of 20 years and no salvage value for either pipeline. The interest rate is 7%. Using the equivalent uniform annual cost (EUAC), should the new pipeline be built
Answer: EUAC of new pipeline of $7,303.75 is less than the $10,000 of old pipeline so new pipeline should be built.
Explanation:
Equivalent Uniform Annual cost can be calculated as:
= Reduction in annual cost + (Initial Cost/ Present value interest factor of annuity, 7%, 20 years)
= 4,000 + (35,000 / 10.5940)
= 4,000 + 3,303.75
= $7,303.75
Following is the stockholders’ equity section of the balance sheet for The Procter & Gamble Company along with selected earnings and dividend data. For simplicity, balances for noncontrolling interests have been left out of income and shareholders' equity information.
$ millions except per share amounts 2014 2013
Net earnings attributable to Procter $10,956 $11,797
& Gamble shareholders
Common dividends 5,883 5,534
Preferred dividends 256 233
Basic net earnings per common share $3.82 $4.12
Diluted net earnings per common share $3.66 $3.93
Shareholders' equity:
Convertible class A preferred stock, $1,195 $1,234
stated value $1 per share
Common stock, stated value $1 per share 4,008 4,008
Additional paid-in capital 63,181 62,405
Treasury stock, at cost (shares held: (69,604) (67,278)
2014--1260.8; 2013--1242.6)
Retained earnings 75,349 70,682
Accumulated other comprehensive (9,333) (2,054)
income/(loss)
Other (761) (996)
Shareholders' equity attributable to $64,035 $68,001
Procter & Gamble shareholders
a. Compute the number of common shares outstanding at the end of each fiscal year. Estimate the average number of shares outstanding during 2014. Round to one decimal place.
2014 million
2013 million
2014 Average million
b. Calculate the average cost per share of the shares held as treasury stock at the end of each fiscal year. Round to two decimal places.
2014
2013
c. In 2014, preferred shareholders elected to convert 40 million shares of preferred stock into common stock. Rather than issue new shares, the company granted 40 million shares held in treasury stock to the preferred shareholders. Prepare a journal entry to illustrate how this transaction would have been recorded. (Hint: use the cost per share for 2013 determined in b.) Enter answers in millions. Round to the nearest million.
Description Debit Credit
Preferred stockTreasury stockAdditional paid-in capital
Additional paid-in capital
Preferred stockTreasury stockAdditional paid-in capital
d. Calculate P&G's return on common equity (ROCE) for fiscal 2014. Round to one decimal place.
2014
Answer:
See below
Explanation:
a.
2014 $2,747.2 Million
2013 $2,765.4 Million
2014 Average $2,756.3 Million
Working
2014 4,008.0 - 1,260.8 = $2,747.2
2013 4,008.0 - 1,242.6 = $2,765.4
b.
2014 $54.14
2013 $55.21
c.
Account title
Preferred stock A/c Dr. $40.0
Additional paid in capital A/c Dr. $2,128.4
To Treasury stock A/c Cr. $2,168.4
d.
Net earnings attributable to P and G shareholders
$10,956
Shareholder's equity attributable to P and G shareholders $64,035
ROCE
($10,956 / $64,035) × 100
17.1%
At the beginning of October, Bowser Co.’s inventory consists of 58 units with a cost per unit of $42. The following transactions occur during the month of October
October 4 Purchase 122 units of inventory on account from Waluigi Co. for $50 per unit, terms 2/10, n/30.
October 5 Pay cash for freight charges related to the October 4 purchase, $749.
October 9 Return 15 defective units from the October 4 purchase and receive credit.
October 12 Pay Waluigi Co. in full.
October 15 Sell 152 units of inventory to customers on account, $12,160. [Hint: The cost of units sold from the October 4 purchase includes $50 unit cost plus $7 per unit for freight less $1 per unit for the purchase discount, or $56 per unit.]
October 19 Receive full payment from customers related to the sale on October 15.
October 20 Purchase 92 units of inventory from Waluigi Co. for $62 per unit, terms 3/10, n/30.
October 22 Sell 92 units of inventory to customers for cash, $7,360. (Note: For calculating the cost of inventory sold, ignore the possible purchase discount on October 20.)
Required:
Assuming that Bowser Co, uses a FIFO perpetual inventory system to maintain its inventory records, record the transactions.
Answer:
Bowser Co.
Journal Entries:
Oct. 4:
Debit Inventory $6,100
Credit Accounts Payable (Waluigi Co.) $6,100
To record the purchase of goods, terms 2/10, n/30.
Oct. 5:
Debit Freight-in Expense $749
Credit Cash $749
To record the payment of freight for Oct. 4 purchase.
Oct. 9:
Debit Accounts Payable (Waluigi Co.) $750
Credit Inventory $750
To record the goods returned on account.
Oct. 12:
Debit Accounts Payable (Waluigi Co.) $5,350
Credit Cash $5,243
Credit Cash Discounts $107
To record the payment on account.
Oct. 15:
Debit Accounts Receivable $12,160
Credit Sales Revenue $12,160
To record the sale of goods on account.
Oct. 15:
Debit Cost of goods sold $8,512
Credit Inventory $7,600
Credit Freight-in $912
To record the cost of goods sold.
Oct. 19:
Debit Cash $12,160
Credit Accounts Receivable $12,160
To record the receipt of cash on account.
Oct. 20:
Debit Inventory $5,704
Credit Accounts Payable (Waluigi Co.) $5,704
To record the purchase of goods on account.
Oct. 22:
Debit Cash $7,360
Credit Sales Revenue $7,360
To record cash sales.
Oct. 22:
Debit Cost of goods sold $5,626
Credit Inventory $5,626
To record the cost of goods sold.
Explanation:
a) Data and Analysis:
Oct. 4: Inventory $6,100 Accounts Payable (Waluigi Co.) $6,100, terms 2/10, n/30.
Oct. 5: Freight-in Expense $749 Cash $749
Oct. 9: Accounts Payable (Waluigi Co.) $750 Inventory $750
Oct. 12: Accounts Payable (Waluigi Co.) $5,350 Cash $5,243 Cash Discounts $107
Oct. 15: Accounts Receivable $12,160 Sales Revenue $12,160
Oct. 15: Cost of goods sold $8,512 Inventory $7,600 Freight-in $912
Oct. 19: Cash $12,160 Accounts Receivable $12,160
Oct. 20: Inventory $5,704 Accounts Payable (Waluigi Co.) $5,704
Oct. 22: Cash $7,360 Sales Revenue $7,360
Oct. 22: Cost of goods sold $5,626 Inventory $5,626 ($56 * 13 + $62 * 79)
On May 10, 2020, Nash Co. enters into a contract to deliver a product to Greig Inc. on June 15, 2020. Greig agrees to pay the full contract price of $2,150 on July 15, 2020. The cost of the goods is $1,470. Nash delivers the product to Greig on June 15, 2020, and receives payment on July 15, 2020. Prepare the journal entries for Nash related to this contract. Either party may terminate the contract without compensation until one of the parties performs
Answer and Explanation:
The journal entries are shown below:
On June 15
Account receivable Dr $2,150
To sales revenue $2,150
(Being product sold on credit is recorded)
Here account receivable is debited as it increased the assets and credited the sales revenue as it also increased the revenue
On June 15
Cost of goods sold Dr $1,470
To Inventory $1,470
(Being the cost of the inventory is recorded)
Here cost of goods sold is debited as it increased the expense and credited the inventory as it decreased the assets
On July 15
Cash Dr $2,150
To Account receivable $2,150
(Being cash receipt is recorded)
Here cash is debited as it increased the assets and credited the account receivable as it decrease the assets
As a result of a thorough physical inventory, Sheridan Company determined that it had inventory worth $320800 at December 31, 2020. This count did not take into consideration the following facts: Herschel Consignment currently has goods worth $46300 on its sales floor that belong to Sheridan but are being sold on consignment by Herschel. The selling price of these goods is $74900. Sheridan purchased $22000 of goods that were shipped on December 27, FOB destination, that will be received by Sheridan on January 3. Determine the correct amount of inventory that Sheridan should report.
Answer:
Sheridan Company
The correct amount of inventory that Sheridan should report is:
= $367,100
Explanation:
a) Data and Calculations:
December 31 Inventory based on physical inventory = $320,800
Goods held on consignment by Herschel = 46,300
December 27, FOB destination goods ($22,000) 0
Correct amount of inventory that Sheridan should report $367,100
b) Goods on consignment are generally the property of the consignor (supplier) and not the consignee's (retailer's). Therefore, they must appear in the balance sheet of the consignor. Goods on FOB destination remain the property of the supplier until they reach the buyer's destination. This is why it is not included above.
Adjustment for Accrued Expense
Joos Realty Co. pays weekly salaries of $17,250 on Friday for a five-day workweek ending on that day. Journalize the necessary adjusting entry assuming that the accounting period ends on Tuesday.
If an amount box does not require an entry, leave it blank. fill in the blank 2 fill in the blank 3 fill in the blank 5 fill in the blank 6
Answer and Explanation:
The adjusting entry is shown below:
Salary expense Dr ($17,250 ÷ 5 days × 2 days) $6,900
To Salary payable $6,900
(Being salary expense is recorded)
here salary expense is debited as it increased the expense and credited the salary payable as it also increased the liabilities
the primary reason business owners make investments and take risks in a private enterprise system is to
a. make a profit
b. satisfy customer needs
C. develop new products
d. meet government requirements
Answer:
I don't do business but I think it would be to a
The primary reason as to why the business owners make investments and take risks in a private enterprise system is to make a profit. Therefore, the option A holds true.
What is the significance of profit-making?A profit making activity can be referred to or considered as an activity that is conducted by an individual or an organization, where the primary motive of such activity is to ensure profits by using the factors of production as such.
Apart from a non-profit organization, all the other businesses and enterprises conduct business activities in the regular course of conduct, because business is a profit-making activity throughout the period of its existence.
Therefore, the option A holds true and states regarding the significance of a profit-making activity.
Learn more about profit-making activity here:
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This year, Amy purchased $1,900 of equipment for use in her business. However, the machine was damaged in a traffic accident while Amy was transporting the equipment to her business. Note that because Amy did not place the equipment into service during the year, she does not claim any depreciation or cost recovery expense for the equipment. Problem 9-57 Part-a (Algo) a. After the accident, Amy had the choice of repairing the equipment for $2,260 or selling the equipment to a junk shop for $620. Amy sold the equipment. What amount can Amy deduct for the loss of the equipment
Answer:
For the complete destruction of a business asset, Amy can claim a casualty loss deduction for the tax basis of the machine less any recovery. Hence, Amy can claim a casualty deduction for $1,700 ($2,000-$300)b.
For partial destruction of a business asset, Amy can claim a casualty loss deduction for the lesser of the economic loss (the cost of repair) or the tax basis of the machine. In this case, Amy can deduct $800
On January 1, 2019, Tonika Company issued a four-year, $10,700, 7% bond. The interest is payable annually each December 31. The issue price was $10,018 based on an 8% effective interest rate. Tonika uses the effective-interest amortization method. Rounding calculations to the nearest whole dollar, which of the following journal entries correctly records the 2019 interest expense?
A. Interest expense 1,052
Bond discount 205
Cash 847
B. Interest expense 847
Cash 847
C. Interest expense 805
Bond discount 42
Cash 847
Answer:
C. Interest Expense 805
Bond discount 42
Cash 847
Explanation:
The interest expense is calculated based on effective interest rate. The issue price is 10,018 which is the actual price and with effective interest rate interest amount is determined. The interest expense has cash value and bond discount.
10,018 * 8% = 804.45 approximately 805.
Assume you gave up a $60,000 per year job at an accounting firm to start your own tax preparation business. To simplify, assume your tax personal obligations are the same whether you run your own firm or work for another firm. If your revenue during the first year of business is $75,000, and you incurred $5,000 in expenses for equipment and supplies, how much is your accounting profit
Answer:
Accounting profit= $70,000
Explanation:
Giving the following information:
If your revenue during the first year of business is $75,000, and you incurred $5,000 in expenses for equipment and supplies, how much is your accounting profit
The accounting profit does not include the opportunity cost of leaving the accounting job. In this case, the accounting profit is:
Accounting profit= revenue - costs
Accounting profit= 75,000 - 5,000
Accounting profit= $70,000
A company pays its employees $3,850 each Friday, which amounts to $770 per day for the five-day workweek that begins on Monday. If the monthly accounting period ends on Thursday and the employees worked through Thursday, the amount of salaries earned but unpaid at the end of the accounting period is:
Answer:
$3080
Explanation:
Calculation to determine what the amount of salaries earned but unpaid at the end of the accounting period is:
Salaries earned but unpaid at the end of the accounting period =3850-$770
Salaries earned but unpaid at the end of the accounting period =$3080
Chen Company's Small Motor Division manufactures a number of small motors used in household and office appliances. The Household Division of Chen then assembles and packages such items as blenders and juicers. Both divisions are free to buy and sell any of their components internally or externally. The following costs relate to small motor LN233 on a per unit basis.
Fixed cost per unit $5.20
Variable cost per unit $10.81
Selling price per unit $34.55
Assuming that the Small Motor Division has excess capacity, compute the minimum acceptable price for the transfer of small motor LN233 to the Household Division. (Round answer to 2 decimal places.)
Minimum transfer price $ per unit
Assuming that the Small Motor Division does not have excess capacity, compute the minimum acceptable price for the transfer of the small motor to the Household Division. (Round answer to 2 decimal places.)
Answer:
See below
Explanation:
1. If the small motor division has excess capacity,
Minimum transfer price = Variable cost + Opportunity cost
Variable cost per unit = $10.81
Add:
Opportunity cost per unit = $0.00 (Because the company has sufficient excess capacity)
Minimum transfer price = $10.81
2. If the small motor division has excess capacity,
Minimum transfer price = Variable cost + Opportunity cost
Variable cost per unit = $10.81
Add:
Opportunity cost per unit = $23.74 (As the company has no excess capacity, contribution lost is the opportunity cost)
Minimum transfer price = $34.55
N.B
Contribution lost = Selling price per unit - Variable cost per unit
= $34,55 - $10.8 = $23.74
Supposed that the daily wage for miners is $110 and that of the muckers is $90 per day. Find the long run cost function for US Iron & Steel Co. (x teams produce 10x tons of iron ore per day.)
Answer:
$200 to produce 10x ton of iron ore
Explanation:
The cost for one day to produce 10x tons of iron ore is calculated as follows.
1 miner and 1 mucker work together to make 10x ton of iron ore where,
1 miners wage = $110
1 mucker wage = $90
This makes a total of $200 to produce 10x ton of iron ore.
The costs in the long run will remain same because the wages are fixed if the wages are negotiable or varies then in the long run the cost function can differ.
Item 5 Required information Skip to question Current Time 0:00 / Duration 6:35 1x The Science Institute has three departments: Biology, Chemistry, and Physics. The institute's controller wants to estimate the cost of operating each department. He has identified several indirect costs that must be allocated to each department including $43,000 of indirect salaries, $4,500 of office supplies, and $36,500 of office rent. There are 500 students in the biology department, 200 in chemistry and 300 in physics (1,000 total students as the allocation base). The amount of cost that should be allocated to the Chemistry Department is
Answer:
$16,800
Explanation:
Calculation to determine The amount of cost that should be allocated to the Chemistry Department is
First step is to calculate the Cost to be allocated
Cost to be allocated = $43,000 + $4,500 + $36,500
Cost to be allocated= $84,000
Second step is to calculate the Allocation base
Allocation base = 500 + 200 + 300
Allocation base = 1,000 total students
Third step is to calculate the Allocation rate using this formula
Allocation rate = Cost to be allocated ÷
Allocation base
Let plug in the formula
Allocation rate= $84,000 ÷ 1,000
Allocation rate = $84 per student
Now let calculate the Allocation to Chemistry Department
Allocation to Chemistry Department = $84 per student x 200
Allocation to Chemistry Department = $16,800
Therefore The amount of cost that should be allocated to the Chemistry Department is $16,800
Anthony Thomas Candies (ATC) reported the following financial data for 2021 and 2020:
2021 2020
Sales $ 314,000 $ 290,000
Sales returns and allowances 8,000 4,700
Net sales $ 306,000 $ 285,300
Cost of goods sold:
Inventory, January 1 62,000 18,000
Net purchases 139,000 142,000
Goods available for sale 201,000 160,000
Inventory, December 31 61,000 62,000
Cost of goods sold 140,000 98,000
Gross profit $ 166,000 $ 187,300
The average days inventory for ATC (rounded) for 2021 is: (Round your intermediate calculations to two decimal places. Round your final answer to the nearest whole number.)
A. 171 days.
B. 222 days.
C. 231 days
D. Less than 100 days.
Answer:
D. Less than 100 days
Explanation:
Average days inventory = 365 / Inventory turnover rate
But
Inventory turnover rate = Cost of goods sold / Average inventory
Also,
Average inventory = (Beginning inventory + Ending inventory) / 2
= ($62,000 + $18,000) / 2
= $40,000
Inventory turnover rate = $201,000 / $40,000 = 5.025
Average days inventory = 365 / 5.025 = 72.64 days
he following information is for James Industries' first year of operations. Amounts are in millions of dollars.
Year Future Taxable Amounts Future Amounts Total
2020 2021 2022 2023 2024
Accounting income $90
Temporary difference:
Advance rent payment (24 ) $6.00 $6.00 $6.00 $6.00 $24.00
Taxable income $66
In 2021 the company's pretax accounting income was $76.0. The enacted tax rate for 2020 and 2021 is 25%, and it is 30% for years after 2021.
Required:
Prepare a journal entry to record the income tax expense for the year 2021.
Answer:
Date Account Title Debit Credit
December 2021 Income tax expense $19,000,000
Deferred tax liability $1,500,000
Income tax payable $20,500,000
Explanation:
Amounts are in millions of dollars so convert them.
Income tax expense for 2021 is:
= Accounting income * tax rate
= 76,000,000 * 25%
= $19,000,000
Deferred tax liability for 2021 is:
= Advance rent payment for 2021 * 25%
= 6,000,000 * 25%
= $1,500,000
You and your friends want to buy a condo at the beach to time share. Each of you has single peaked preferences with a most preferred value that you are willing to spend. These values are: Mabel, $10,000; Gertrude, $20,000; Myron, $30,000; Wilber, $40,000; and you, $50,000. The condo costs $150,000. Explain how to implement a uniform rule mechanism to allocate costs and shares.
Answer:
Individual Cost Shares to be enjoyed
Mabel $10,000 10000 / 150000 = 6.67%
Gertrude $20000 20000 / 150000 = 13.3%
Myron $30000 30000 / 150000 = 20%
Wilber $40000 40000 / 150000 = 26.6%
You $50000 50000 / 150000 = 33.3%
Explanation:
peaked preferences
Most preferred value to spend :
Mabel = $10,000
Gertrude = $20,000
Myron = $30,000
Wilber = $40,000
you = $50,000
cost of Condo = $150,000
Implementing a Uniform rule mechanism to allocate costs and shares
The uniform rule ; ∑ j∈I Uj (p) = Ω.
where Ω = fixed amount of resource
hence the summation of all allotment should = Ω ( $150,000 )
Number of friends = 5
cost of condo = $150,000
If divide equally each person will have to pay ; $150,000 / 5 = $30,000
Total money to be spent by friends = 10,000 + 20,000 + 30,000 + 40,000 + 50,000 = $150,000
Individual Cost shares to be enjoyed
Mabel $10,000 10000 / 150000 = 6.67∑%
Gertrude $20000 20000 / 150000 = 13.3%
Myron $30000 30000 / 150000 = 20%
Wilber $40000 40000 / 150000 = 26.6%
You $50000 50000 / 150000 = 33.3%
∑shares ≈ 100% ( 150,000 )
Suppose you have to wait in line to purchase a soft drink at a Missouri State - Tulsa football game. The drink costs one dollar. While waiting in line, you hear the crowd roar as someone scores a touchdown. While running back to your seat, you fall and spill your drink on another spectator. What is your opportunity cost for the drink?
A. the cost of the drink plus the lost enjoyment of not seeing Missouri State score another touchdown (it couldn't have been Tulsa)
B. the cost of the drink, the lost enjoyment of not seeing the Missouri State touchdown, your thirst (you didn't get a drink), and the discomfort (to the other spectator) of sitting in the sun with wet, sticky clothing
C. the lost enjoyment of not seeing the Missouri State touchdown, your thirst (you didn't get a drink), and the discomfort (to the other spectator) of sitting in the sun with wet, sticky clothing
D. the lost enjoyment of not seeing the Missouri State touchdown, your thirst (you didn't get a drink), and your discomfort (assuming the other spectator responded by throwing his drink in your lap) of sitting in the sun with wet, sticky clothing
The management of Wheeler Company has decided to develop cost formulas for its major overhead activities. Wheeler uses a highly automated manufacturing process, and power costs are a significant manufacturing cost. Cost analysts have decided that power costs are mixed. The costs must be broken into their fixed and variable elements so that the cost behavior of the power usage activity can be properly described. Machine hours have been selected as the activity driver for power costs. The following data for the past eight quarters have been collected:
Quarter Machine Hours Power cost
1 20000 26000
2 25000 38000
3 30000 42500
4 22000 37000
5 21000 34000
6 18000 29000
7 24000 36000
8 28000 40000
1. Prepare a scattergraph by plotting power costs against machine hours. Does the scattergraph show a near relationship between machine hours and power cost?
2. Using the high and low points (i.e., the high-low method), compute a power cost formula.
3. Use the method of least squares to compute a power cost formula. Evaluate the coefficient of determination.
Answer:
Explanation:
1-a See the attached photo for the a scattergraph.
1-b. Yes, the scattergraph show a near relationship between machine hours and power cost.
2. The power cost formula using the high and low points is as follows:
Total power cost = -7000 + (1.65 * Machine hours)
3-a. The power cost formula using the method of least squares is as follows:
Total power cost = 6454 + (1.21 * Machine hours)
3-b. R² = Coefficient of determination = 0.8969, or 89.69%
Explanation
1-a. Prepare a scattergraph by plotting power costs against machine hours.
Note: See the attached photo for the a scattergraph by plotting power costs against machine hours.
1-b. Does the scattergraph show a near relationship between machine hours and power cost?
Note that Scattergraph is interpreted by looking by looking for trends in the data as there is movement from left to right.
From the attached a scattergraph, it can be observed that there is an uphill pattern as there is a movement from left to right. This indicates that there a near positive relationship between power costs against machine hours.
Therefore, the scattergraph show a near relationship between machine hours and power cost.
2. Using the high and low points (i.e., the high-low method), compute a power cost formula.
2-a. Calculation of variable cost elements
Variable cost per machine hour = (Highest Power Costs - Lowest Power Costs) / (Highest machine hours – Lowest machine hours) = (42500 - 26000) / (30000 - 20000) = 1.65 per hour
2-b. Calculation of fixed cost elements
Total power cost = Total Fixed Cost + Total Variable Cost ................. (1)
Where;
Total Variable Cost = Variable cost per machine hour * Machine hours ……….. (2)
Substitute equation (2) into equation (1), we have:
Total power cost = Total Fixed Cost + (Variable cost per machine hour * Machine hours) ……………………. (3)
Using highest machine hours and substitute relevant values into equation (3), we have:
42500 = Total Fixed Cost + (1.65 * 3000)
42500 = Total Fixed Cost + 49,500
Total Fixed Cost = 42500 - 49,500
Total Fixed Cost = -7000
2-c Computation of a power cost formula
Substituting Variable cost per machine hour = 1.65 and Total Fixed Cost = -7000 into equation (3), we can compute the power cost formula as follows:
Total power cost = -7000 + (1.65 * Machine hours) ………………. (4)
Equation is the power cost formula.
3. Use the method of least squares to compute a power cost formula. Evaluate the coefficient of determination.
Note: See the attached excel file for the calculations of Total of Machine Hours (x), Power cost (y), xy, x^2, and y^2.
Since Σ = Total of or summation of, we can therefore obtain the following from the attached excel file:
Σx = 190,800
Σy = 282,500
Σxy = 6,878,400,000
Σx² = 4,666,540,000
Σy² = 10,188,250,000
N = Number of quarters = 8
3-a. Use the method of least squares to compute a power cost formula
Step 1: Calculation of variable cost per rental return
To calculate the variable power cost per machine hour, the following formula is used:
Variable power cost per machine hour = (NΣxy − ΣxΣy) /((NΣx²) − (Σx)²) ……………… (5)
= (Σxy – (1/8)ΣxΣy) /((Σx²) – (1/8)(Σx)²)
=(6,878,400,000 – ((1/8) * 190,800 * 282,500)) / (4,666,540,000 – ((1/8) * 190,800²))
Substituting the relevant values into equation (5), we have:
Variable cost per rental return = ((8 * 6,878,400,000) - (190,800 * 282,500)) /((8 * 4,666,540,000) - 190,800²)
Variable power cost per machine hour = 1.21
Step 2: Calculation of quarterly fixed power cost
This can be calculated using the following formula:
Fixed Cost per quarter = {Σy - (Variable power cost per machine hour * Σx) / N ....... (6)
Substituting the relevant values into equation (6), we have:
Fixed Cost per quarter = (282,500 - (1.21 * 190,800)) / 8
Fixed Cost per quarter = 6,454
Step 3: Computation of the power cost formula
Substituting Variable cost per machine hour = 1.21 and Total Fixed Cost = 6,454 into equation (3) in part 2 above, we can compute the power cost formula as follows:
Total power cost = 6454 + (1.21 * Machine hours) ………………. (4)
Equation (4) is the power cost formula.
3-b. Evaluate the coefficient of determination.
This can be evaluated using the following formula:
R² = Coefficient of determination = (NΣxy – ΣxΣy) / ((NΣx² - (Σx)²) * (NΣy² - (Σy)²))^0.5 ……….. (5)
Substituting the relevant values into equation (5) we have:
R² = ((8 * 6,878,400,000) – (190,800 * 282,500)) / (((8 * 4,666,540,000) – 190.800²) * ((8 * 10,188,250,000) – 282,500²))^0.5
R² = 0.8969, or 89.69%
Financial Statement Analysis Portfolio
The Income Statement for Pumpkin Co. is shown below:
Pumpkin Co.IncomeStatement
for the Month Ended October 21, 2010
revenues- blank
sales
$120,000.00
operating expenses-blank
salary expense
$10,000.00
supplies expense
$14,000.00
depreciation expense
$4,000.00
net income
$92,000.00
Pumpkin Co. is about to embark on a project that will have a total cost of $300,000.00 over a 10-year period.
1. Calculate the expected annual rate of return on this project.
2.Calculate the cash payback on this project.
PLEASE HELP!! This is economics/business work. Will give brainliest if correct!!
This morning, you purchased a seventeen-year, 6.45% annual coupon bond with face value of $1,000 at a price of $1,030.04. Just after purchasing the bond, the yield to maturity of the bond falls to 5.50 percent and stays at that level throughout your investment period. If you sell your bond after holding it for seven years, what will be your realized rate of return
Answer:
6.73%
Explanation:
the price of the bond in seven years is:
PV = $1,000 / (1 + 5.50%)¹⁰ = $585.43
PV of coupon payments = $64.50 x 7.538 (PVIFA, 5.5%, 10 years) = $486.20
market price = $1,071.63
using an excel spreadsheet of financial calculator, the annual rate of return:
year 0 = -1030.04
year 1 = 64.5
year 2 = 64.5
year 3 = 64.5
year 4 = 64.5
year 5 = 64.5
year 6 = 64.5
year 7 = 1136.13
IRR = 6.73%
Mt Kinley is a strategy consulting firm that divides its consultants into three classes, associates, managers, and partners. The firm has been stable in size for the last 20 years, ignoring growth opportunities in the 90s, but also not suffering from a need to down-size in the recession. Specifically, there have been – and are expected to be – 200 associates, 60 managers, and 20 partners. The work environment at Mt Kinley is rather competitive. After 4 years of working as an associate, a consultant goes "either up or out", i.e. becomes a manager or is dismissed from the company. Similarly, after 6 years a manager either becomes a partner or is dismissed. The company recruits MBAs as associate consultants, no hires are made at the manager or partner level. A partner stays with the company for another 10 years (total of 20 years with the company). How many new MBA graduates does Mt Kinley have to hire every year? What is the probability that an incoming MBA graduate would make partner at Mt Kinley?
Answer:
1. 50 consultants per year
2. 4%
Explanation:
1. Calculation to determine How many new MBA graduates does Mt Kinley have to hire every year
Using this formula
Flow Rate of associates= Inventory / Flow Time
Let plug in the formula
Flow Rate of associates = 200 consultants / 4 years
Flow Rate of associates= 50 consultants per year
Therefore the numbers of MBA graduates that Mt Kinley have to hire every year is 50 consultants per year
2. Calculation to determine the probability that an incoming MBA graduate would make partner at Mt Kinley
First step is to calculate the Flow Rate of managers using this formula
Flow Rate of manager= Inventory / Flow Time
Let plug in the formula
Flow Rate of manager = 60 consultants / 6 years
Flow Rate of manager =10 consultants per year
Second step is to calculate the flow rate of partner using this formula
Flow rate of partner = Inventory/ Flow time
Let plug in the formula
Flow rate of partner = 20/10
Flow rate of partner = 2 partners per year
Third step is to calculate the probability of becoming a manager
Probability (Manager) = 10/50
Probability (Manager) = 20%
Fourth step is to calculate Probability of becoming a partner
Probability (Partner) = 2/10
Probability (Partner) = 20%
Now let calculate the probability that an incoming MBA graduate would make partner at Mt Kinley
Probability of MBA graduate becoming a partner = 20% x 20%
Probability of MBA graduate becoming a partner = 4%
Therefore the probability that an incoming MBA graduate would make partner at Mt Kinley is 4%
Sheffield Corp. thinks machine hours is the best activity base for its manufacturing overhead. The estimate of annual overhead costs for its jobs was $2850000. The company used 1000 hours of processing on Job No. B12 during the period and incurred overhead costs totaling $2900000. The budgeted machine hours for the year totaled 20000. How much overhead should be applied to Job No. B12
Answer:
the overhead applied is $142,500
Explanation:
The computation of the overhead applied is shown below:
= Estimated annual overhead cost ÷ budgeted machine hours × used hours
= $2,850,000 ÷ 20,000 machine hours × 1,000 hours
= $142,500
Hence, the overhead applied is $142,500
We simply applied the above formula
Answer each of the following independent questions. Required: Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $88,000 cash immediately, (2) $34,000 cash immediately and a six-period annuity of $9,300 beginning one year from today, or (3) a six-period annuity of $18,400 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 1.1 Assuming an interest rate of 7%, determine the PV value for the above options.
1.2 Which option should Alex choose? Option (1) Option (2) Option (3)
2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2022. Weimer will make annual deposits of $175,000 into a special bank account at the end of each of 10 years beginning December 31, 2013. Assuming that the bank account pays 8% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2022?
Table of calculation function?
Payment?
N?
I?
Future value?
Answer:
option 1
$4,056,237.49
Explanation:
To determine the better option, we have to determine the present value of options 2 and 3
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
option 2
Cash flow in year 0 = $34,000
Cash flow in year 1 to 6 = $9,300
I = 7 %
PV = 78,328.82
Option 2
Cash flow in year 1 to 6 = $$18,400
I = 7 %
PV = 87704.33
To find the NPV 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 NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
It is the first option that has the highest value
The formula for calculating future value = A / annuity factor
Annuity factor = {[(1+r) n] - 1} / r
P = Present value
R = interest rate
N = number of years
An investor thought that market interest rates were going to decline. He paid $19,000 for a corporate bond with a face value of $20,000. The bond has an interest rate of 10% per year payable annually. If the investor plans to sell the bond immediately after receiving the 4th interest payment, how much will he have to receive in order to make a return of 14% per year? Solve using:
a. tabulated factors
b. the GOAL SEEK tool on a spreadsheet.
Answer:
Answer is explained in the explanation section below.
Explanation:
a. In this part, we need to calculate the present worth using the formula to calculate the sale price of the bond.
As the coupon rate = 10% per year
So,
The Annual dividend will = 2000 = 10% x 20,000
19000 = 2000 (P/A, 14%,4) + B(P/F,14%,4)
19000 = 2000 (2.9137) + B (0.592)
Solving for B = Desired sales price of the bond
B = [tex]\frac{19000 - 5827.4}{0.592}[/tex]
B = 22251
b. Part b of this question is to solve using GOAL SEEK feature of a spreadsheet so, I have attached it in the attachment. Please refer to the attachment for the solution of part b.
To purchase a used automobile, you borrow $10,000 from Loan Shark Enterprises. They tell you the interest rate is 1% per month for 35 months. They also charge you $200 for a credit investigation, so you leave with $9,800 in your pocket. The monthly payment they calculated for you is $385.71/month.
If you agree to these terms and sign their contract, what is the actual APR (annual percentage rate) that you are paying?
Answer:
The actual APR (annual percentage rate) that you are paying is 12.69%.
Explanation:
The actual annual percentage rate (APR) can be calculated using the Annual Percentage Rate (APR) formula as
follows:
APR = (((Fees + Interest accrued) / Principal / n) * Number of months in a year) * 100 ……………… (1)
Where;
APR = ?
Fees = Credit investigation charged = $200
Principal = Amount borrowed = $10,000
Total accrued amount = Principal * (1 + (Monthly interest rate * Number of months of loan tenure)) = $10,000 * (1 + (1% * 35)) = $13,500
Interest accrued = Total accrued amount - Principal = $13,500 - $10,000 =$3,500
n = Number of months of loan term = 35
Number of months in a year = 12
Substituting the values into equation (1), we have:
APR = (((200 + 3500) / 10000 / 35) * 12) * 100
APR = 12.69%
Therefore, the actual APR (annual percentage rate) that you are paying is 12.69%.
Crane Company took a physical inventory on December 31 and determined that goods costing $180,000 were on hand. Not included in the physical count were $20,000 of goods purchased from Nash's Trading Post, LLC, FOB, shipping point, and $20,000 of goods sold to Swifty Corporation for $30,000, FOB destination. Both the Nash purchase and the Swifty sale were in transit at year-end.
Required:
What amount should Crane report as its December 31 inventory?
Answer:
$220,000
Explanation:
Calculation for What amount should Crane report as its December 31 inventory
Using this formula
Ending inventory =Goods costing on hand+Physical count of goods purchased+Goods sold
Let plug in the formula
Ending inventory = $180,000 + $20,000 + $20,000
Ending inventory = $220,000
Therefore the amount that Crane should report as its December 31 inventory is $220,000
A firm can lease a truck for 5 years at a cost of $49,000 annually. It can instead buy a truck at a cost of $99,000, with annual maintenance expenses of $29,000. The truck will be sold at the end of 5 years for $39,000. a. What is the equivalent annual cost of buying and maintaining the truck if the discount rate is 12%
Answer:
Leasing or Buying a Truck:
The equivalent annual cost of buying and maintaining the truck (if the discount rate is 12%) is:
= $50,328
Explanation:
a) Data and Calculations:
Interest rate = 6% per year
Lease Purchase
Initial Cost $99,000
Annual Cost $49,000 $29,000
Salvage Value $39,000
Useful Life (years) 5 5
Annuity factor = 3.605 for 5 years at 12%.
Present value factor = 0.567 for 5 years at 12%.
Lease Purchase
Present value of costs:
Initial cost $99,000 (1 * $99,000)
Annuity costs $176,645 104,545 (3.605 * $29,000)
PV of salvage value (22,113) (0.567 * $39,000)
NPV cost $176,645 $181,432
The equivalent annual cost:
= Total NPV cost/PV annuity factor
($176,645/3.605) ($181,432/3.605)
Equivalent annual cost $49,000 $50,328
Difference:
Purchase = $50,328
Lease = $49,000
Difference = $1,328
The goal of the review in a business presentation is to Multiple choice question. compel audience members to consider taking specific actions. lead audience members in participating in a dramatic demonstration. tie together the meaning of any visual aids used in the presentation. provide a brief evaluation of the speaker's reaction to audience members.
Answer:
provide a brief evaluation of the speaker's reaction to audience members.
Explanation:
In a business presentation review, the main objective is to provide a brief assessment of the speaker's reaction to audience members, that is, the objective is to share with the members of that company how business was conducted, what efforts were achieved and how company is moving into the market. Sharing a brief assessment of the speaker's reaction with members helps to create a sense of belonging to the company, identification of members and satisfaction with the results achieved, thus increasing reliability and appreciation at work, strengthening integration, productivity and organizational culture.