Answer:
$420,000
Explanation:
Given the following information, Beginning ending raw materials inventory $560,000 $613,000
The raw materials used in manufacturing during the year is totaled $1,033,000
We will use the formula below to calculate raw materials purchased during the year
Raw materials purchases
= Direct materials used in production - Ending inventory
= $1,033,000 - $613,000
= $420,000
Allocating Joint Costs Using the Net Realizable Value Method
A company manufactures three products, L-Ten, Triol, and Pioze, from a joint process. Each production run costs $12,300. None of the products can be sold at split-off, but must be processed further. Information on one batch of the three products is as follows:
Product Gallons Further Processing
Cost per Gallon Eventual Market
Price per Gallon
L-Ten 3,200 $0.70 $2.10
Triol 3,700 1.10 5.40
Pioze 2,000 1.50 6.20
Required:
1. Allocate the joint cost to L-Ten, Triol, and Pioze using the net realizable value method. Round your allocation percentages to four decimal places and round the allocated costs to the nearest dollar.
Joint Cost
Grades Allocation
L-Ten $
Triol
Pioze
Total $
2. What if it cost $2.10 to process each gallon of Triol beyond the split-off point? How would that affect the allocation of joint cost to the three products? Round your allocation percentages to four decimal places and round the allocated costs to the nearest dollar.
Joint Cost
Grades Allocation
L-Ten $
Triol
Pioze
Total $
Answer:
Allocating Joint Costs Using the Net Realizable Value Method
1. Joint Cost
Grades Allocation
L-Ten $1,850
Triol 6,569
Pioze 3,881
Total $12,300
2. Joint Cost
Grades Allocation
L-Ten $2,112
Triol 5,756
Pioze 4,432
Total $12,300
Explanation:
a) Data and Calculations:
Cost of each production run = $12,300
Product Gallons Further Processing Eventual Market Net Realizable
Cost per Gallon Price per Gallon Value
L-Ten 3,200 $0.70 $2.10 $4,480
Triol 3,700 1.10 5.40 15,910
Pioze 2,000 1.50 6.20 9,400
Total 8,900 $29,790
Allocation of join cost:
L-Ten = $4,480/$29,790 * $12,300 = $1,850
Triol = $15,910/$29,790 * $12,300 = $6,569
Pioze = $9,400/$29,790 * $12,300 = $3,881
Product Gallons Further Processing Eventual Market Net Realizable
Cost per Gallon Price per Gallon Value
L-Ten 3,200 $0.70 $2.10 $4,480
Triol 3,700 2.10 5.40 12,210
Pioze 2,000 1.50 6.20 9,400
Total 8,900 $26,090
Allocation of join cost:
L-Ten = $4,480/$26,090 * $12,300 = $2,112
Triol = $12,210/$26,090 * $12,300 = $5,756
Pioze = $9,400/$26,090 * $12,300 = $4,432
Last year Christine worked as a consultant. She hired an administrative assistant for $15,000 per year and rented office space (utilities included) for $3,000 per month. Her total revenue for the year was $100,000. If Christine hadn't worked as a consultant, she would have worked at a real estate firm earning $40,000 a year. Last year, Christine's explicit costs were ______, and her implicit costs were ______.
Answer:
Explicit costs - $51,000
Explicit costs are those for which a person incurs in actual spending of money. In this case, Christine had to pay $15,000 in wages, and $36,000 in rent ($3,000 x 12). These are expenses that she had to pay money for, and that had to be accounted for in the accounting books, and in the financial statements. These are in other words, explicit costs.
Implicit costs - $40,000
Implicit costs are simply the opportunity costs. An opportunity cost is the cost of the next more valuable alternative when faced with two or more options. No money is paid for this costs. The implicit costs for Christine were the $40,000 that she not receive as wages if she had continued working at a real state firm.
Zubin Ltd. had set the transfer price at $40 for the purchase of goods from its U.S. subsidiary. But the IRS audited the transfer price and determined that it should have been using a transfer price of $190. Assuming the adjustment results in an increase in U.S. tax liability of $200,000. Determine the penalty amount.
Answer:
Zubin Ltd.
The Penalty amount is:
Minimum = $10,000
Maximum = $50,000
Explanation:
a) Data and Calculations:
Company set transfer price = $40
IRs determined transfer price = $190
Increase in U.S. tax liability = $200,000
IRS penalty rate = 5% minimum for each month of default and not exceeding 25% maximum
Therefore, the penalty amount:
Minimum = $10,000 (5% of $200,000)
Maximum = $50,000 (25% of $200,000)
Sheffield Corp. owns the following assets: Asset Cost Salvage Estimated Useful Life A $540000 $42000 10 years B 201000 23500 5 years C 490000 22000 12 years What is the composite life of Sheffield's assets?
Answer:
The composite life is 9.19.
Explanation:
Below is the calculation for composite life of assets:
Composite life = Total Depreciable Cost ÷ Total Annual Depreciation
Composite life = 1143500 ÷ 124300
Composite life = 9.19
The composite life is 9.19.
Poole Co. acquired 100% of Mullen Inc. on January 3, 2021. During 2021, Poole sold goods to Mullen for $2,500,000 that cost Poole $1,850,000. Mullen still owned 30% of the goods at the end of the year. Cost of goods sold was $11,200,000 for Poole and $6,600,000 for Mullen. What was consolidated cost of goods sold?
a) $15,105,000.
b) $15,300,000.
c) $15,495,000.
d) $17,800,000.
Answer:
c) $15,495,000.
Explanation:
Calculation to determine the consolidated cost of goods sold
First step is to calculate the Intra-Entity Gross Profit Deferred
Intra-Entity Gross Profit Deferred =($2,500,000 − $1,850,000)*30%
Intra-Entity Gross Profit Deferred =$650,000 × (30%)
Intra-Entity Gross Profit Deferred =$195,000
Now let calculate the Consolidated COGS
Using this formula
Consolidated COGS = Parent's COGS+Subsidiary's COGS -COGS in Intra-Entity Transfer+Intra-Entity Gross Profit Deferred
Let plug in the formula
Consolidated COGS=$11,200,000+ $6,600,000− $2,500,000+ $195,000
Consolidated COGS= $15,495,000
Therefore the consolidated cost of goods sold is
$15,495,000
Under accounting principles generally accepted in the United States, in order for an item to qualify for recognition in the financial statements of a company, the item must I. Be measurable in monetary terms II. Reflect the consensus expectations of investors III. Meet the definition of an element of the financial statements
Answer:
I Be measurable in monetary term
III Meet the definition of an element of the financial statements
Explanation:
Financial Statements can be regarded as reports which provide the detail of the financial information entry, these includes assets, incomes, liabilities,as well as equities, and sone information which are during the period of time.
Therefore, for an item to be able to qualify for recognition in a particular financial statements,
the definition of an element of financial statements must be met hich are;
1) measurable
2) be relevant to the particular users
3) information must be verifiable
It should be noted that Under accounting principles generally accepted in the United States, in order for an item to qualify for recognition in the financial statements of a company, the item must be;I )Be measurable in monetary term
III)Meet the definition of an element of the financial statements
All operating expenses are paid in cash in the month incurred. If HDC expects to sell 20,000 units of inventory, the total budgeted selling and administrative expenses would be what amount on the January pro forma income statement
Answer:
$123,400
Explanation:
Calculation to determine what amount on the January pro forma income statement
Freight-out $5,000
(20,000 units x 0.25)
Depreciation on Admin. Equipment $10,000
Sales and Admin Sal. $46,400
[$40,000 + (.02 x $320,000)]
Advertising $12,000
Lease $45,000
Miscellaneous $5,000
Total $123,400
Therefore what amount on the January pro forma income statement is $123,400
Demand is said to be __________ when the quantity demanded is not very responsive to changes in price. Group of answer choices unit elastic independent inelastic elastic
Answer:
Inelastic
Explanation:
Inelastic is the correct answer because elasticity is the magnitude that exhibits the responsiveness of demand for the commodity when there is a change in price. For example, if the price changes by 100% and due to the change in price, the change in quantity is only 10%. Then it can be deduced that the elasticity is inelastic because the percentage is lower than the percentage in price.
You want to have $19,000 in 7 years for a dream vacation. If you can earn an interest rate of .3 percent per month, how much will you have to deposit today
Answer:
Initial investment= $14,773.22
Explanation:
Giving the following information:
Future value (FV)= $19,000
Number of periods (n)= 7*12= 84 months
Interest rate (i)= 0.003
To calculate the initial investment (PV), we need to use the following formula:
PV= FV / (1 + i)^n
PV= 19,000 / (1.003^84)
PV= $14,773.22
epper Department store allocates its service department expenses to its various operating (sales) departments. The following data is available for its service departments: Expense Basis for allocation Amount Rent Square feet of floor space $ 49,000 Advertising Amount of dollar sales $ 80,000 Administrative Number of employees $ 120,000 The following information is available for its three operating (sales) departments: Department Square Feet Dollar Sales Number of employees A 5,500 $ 355,000 31 B 5,900 $ 375,000 33 C 6,100 $ 520,000 35 Totals 17,500 $ 1,250,000 99 What is the total advertising expense allocated to Department B
Answer:
Pepper Department Store
The total advertising expense allocated to Department B is:
= $24,000.
Explanation:
a) Data and Calculations:
Expense Basis for allocation Amount
Rent Square feet of floor space $ 49,000
Advertising Amount of dollar sales $ 80,000
Administrative Number of employees $ 120,000
Department Square Feet Dollar Sales Number of employees
A 5,500 $ 355,000 31
B 5,900 $ 375,000 33
C 6,100 $ 520,000 35
Totals 17,500 $ 1,250,000 99
Advertising Expense Allocation:
Department A = $22,720 (355,000/$1,250,000 * $80,000)
Department B = $24,000 ($375,000/$1,250,000 * $80,000)
Department C = $33,280 ($520,000/$1,250,000 * $80,000)
A perfectly competitive firm, with MC=q operates in a market character,zed by the following market demand and supply conditions:
Demand: Q=20000-100P
Supply: Q=100P
How much output does this competitive firm produce to maximize profit? Show your work graphically and algebraically.
Answer: 10000 units
Explanation:
First, we've to determine the equilibrium price which will be gotten when we equate the demand to the supply which will be:
20000 - 100P = 100P
100P + 100P = 20000
200P = 20000
P = 20000/200
P = 100
Since Q = 100P
Q = 100 × 100
Q = 10000
The competitive firm will produce 10000 units to maximize profit.
You are an adviser to the Indian government. Until now, government policy in India has been to severely limit imports into India, resulting also in a low level of Indian exports. The government is considering a policy shift toward much freer trade. What are the three strongest arguments that you can offer to the Indian government about why the policy shift to freer trade is desirable for India
Answer:
1. The size of the economy as a whole grows as a result of free trade.
2. Consumers benefit from free trade.
3. Free trade can reduce cost of trading:
Explanation:
The three strongest arguments that you can offer to the Indian government about why the policy shift to freer trade is desirable for India are as follows:
1. The size of the economy as a whole grows as a result of free trade: It provides for more efficient production of goods and services. This is because it encourages goods and services to be created in areas with the finest natural resources, infrastructure, or skills and experience. It boosts productivity, which can lead to greater long-term wages. There is universal consensus that growing global trade has boosted economic growth in recent decades.
2. Consumers benefit from free trade: By removing barriers and promoting competition, it lowers prices. Quality and choice are likely to improve as a result of increased competition.
3. Free trade can reduce cost of trading: Non-tariff barriers can be reduced, resulting in less red tape and lower trading costs. Companies that deal in multiple nations might reduce their compliance expenses by working with a single set of laws. In principle, this will lower the cost of goods and services.
When a firm invests in a risky project that happens to be highly profitable, bondholders also enjoy a higher payoff than what a less risky project would produce the same way as stockholders would.
a. True
b. False
Answer:
the answer is false mark me brainlist
Scholastic Tours is trying to decide which one of two tours it will introduce. The costs and revenues associated with each alternative are listed below: Eastern Tour Western Tour Projected revenue $ 15,000 $ 18,000 Variable costs 1,000 8,000 Fixed costs 5,000 5,000 Profit $ 9,000 $ 5,000 What are the incremental (differential) costs of the Western Tour
Answer:
$7,000
Explanation:
The computation of the incremental (differential) costs of the Western Tour is shown below:
Total cost for eastern tour
= variable cost + fixed cost
= $1,000 + $5,000
= $6,000
And, the total cost for western tour is
= variable cost + fixed cost
= $8,000 + $5,000
= $13,000
So, the different in the cost is
= $13,000 - $6,000
= $7,000
Consider the following demand schedule: Price Quantity Demanded $25 20 $20 40 $15 60 $10 80 What is the price elasticity of demand between (using the arc formula) a) Price $25-$20 a) Price $20-$15 a) Price $15-$10
Answer:
3.05
1.38
0.725
Explanation:
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Arc elasticity of demand = midpoint change in quantity demanded / midpoint change in price
Midpoint change in quantity demanded = change in quantity demanded / average of both demands
Price $25-$20
change in quantity demanded = 40 - 20 = 20
average of both demands = (40 + 20) /2 = 30
Midpoint change in quantity demanded = 20/30 = 0.67
midpoint change in price = change in price / average of both price
change in price = $25 - $20 = $5
average of both price = ($25 + $20) / 2 = 22.5
Price $20-$15
change in quantity demanded = 60 - 40 = 20
average of both demands = (60 + 40) /2 = 50
Midpoint change in quantity demanded = 20/50 = 0.4
midpoint change in price = change in price / average of both price
change in price = $20 - $15 = $5
average of both price = ($15 + $20) / 2 = 17.5
midpoint change in price = 5 / 17.5 = 0.29
0.4/0.29 = 1.38
Price elasticity of demand = 0.67 / 0.22 = 3.05
change in quantity demanded = 80 - 60 = 20
average of both demands = (80 + 60) /2 = 70
Midpoint change in quantity demanded = 20/70 = 0.29
midpoint change in price = change in price / average of both price
change in price = $15 - $10 = $5
average of both price = ($15 + $10) / 2 = 12.5
5/12.5 = 0.4
When there is excess supply (surplus) what will happen?
Answer:
If there is excess supply, then the price will fall.
Explanation:
More supply would reduce the demand and hence, price would adjust to meet the equilibrium between demand and supply
In 2010,Chesley Inc. acquired Corrigan Ltd. in a hostile takeover. However, the expected synergies never materialized. In 2013, Chesley decided to write-off $45 million of Goodwill on the financial statements to recognize that the Goodwill had become impaired.Which of the following items would be decreased by the impairment of Goodwill?
a- Total Assetsb- Net Incomec- Cash from Operating Activitiesd- Cash from Financing Activitiese- Cash from Investing Activities
Answer:
a- Total Assets
Explanation:
Impairment write downs are not cash related events but an accounting entry made to reduce the carrying amount when Carrying Amount of an Asset is found to be greater than the Recoverable Value of the Asset.
Carrying Amount of an Asset is Cost less Accumulated depreciation of an asset. While the Recoverable Value of the Asset is the higher of Fair Value and Value in use of an asset.
Therefore, only Total Assets decrease as a result of impairment of Goodwill.
Mary runs over a deer with her car. The ACV of her vehicle is $7,250. To repair the damages caused in the accident, it will cost $4,375. What will the insurer likely pay Mary for this claim, assuming that her COLLISION deductible is $500, and her OTHER THAN COLLISION deductible is $200
Answer: $4175
Explanation:
The Other Than Collision coverage is the payment to repair a vehicle when the damage caused isn't when one collides with another vehicle.
In this case, since Mary runs over a deer with her car, we'll deduct the other than collision deductible from her cost of the repair and this will be:
= $4375 - $200
= $4175
The insurer will pay Mary $4175
If firms expect prices to be higher in the future and the product is not perishable, then Multiple Choice the current supply curve shifts to the right. the current supply curve shifts to the left. none of the statements associated with this question are correct. producers produce more output to hold back for the future.
Answer:
the current supply curve shifts to the left.
Explanation:
A product can be defined as any physical object or material that typically satisfy and meets the demands, needs or wants of customers. Some examples of a product are mobile phones, television, microphone, microwave oven, bread, pencil, freezer, beverages, soft drinks etc.
Price can be defined as the amount of money that is required to be paid by a buyer (customer) to a seller (producer) in order to acquire goods and services.
Thus, it's the amount of money a customer or consumer buying goods and services are willing to pay for the goods and services being offered. The price of goods and services are primarily being set by the seller or service provider.
In sales and marketing, pricing of products is considered to be an essential element of a business firm's marketing mix because place, promotion and product largely depends on it.
One of the importance associated with the pricing of products is that, it improves the image of a business firm.
Hence, if firms expect prices of products to be higher or rise in the future and the product is not perishable i.e wouldn't get spoilt in a short time, then the current supply curve shifts to the left and as such only small quantity of the product would be supplied by the business firm.
An aggregate supply curve gives the relationship between the aggregate price level for goods or services and the quantity of aggregate output supplied in an economy at a specific period of time.
Aggregate supply (AS) refers to the total quantity of output (goods and services) that firms are willing to produce and sell at a given price in an economy at a particular period of time.
The Commonwealth of Virginia filed suit in October 2014, against Northern Timber Corporation seeking civil penalties and injunctive relief for violations of environmental laws regulating forest conservation. When the financial statements were issued in 2015, Northern had not reached a settlement with state authorities, but legal counsel advised Northern Timber that it was probable the ultimate settlement would be $1,000,000 in penalties. The following entry was recorded: Loss—litigation ................................................................................................... 1,000,000 Liability—litigation ........................................................................................... 1,000,000 Late in 2016, a settlement was reached with state authorities to pay a total of $600,000 to cover the cost of violations. Required: 1. Prepare any journal entries related to the change. 2. Briefly describe other steps Northern should take to report the change.
Answer:
Northern Timber Corporation
1. Journal entries to record the change:
Debit Litigation Liability $1,000,000
Credit Cash $600,000
Credit Litigation Loss $400,000
To record the payment of the litigation liability and the reduction of litigation loss by $400,000.
2. Northern can restate the 2014 and 2015 Retained Earnings to reflect the change in the litigation loss.
Explanation:
a) Data and Calculations:
Records of probable loss from ultimate settlement:
2014:
Loss—litigation 1,000,000
Liability—litigation 1,000,000
2016:
Agreed settlement = $600,000
Analysis of Entries:
Litigation Liability $1,000,000
Cash $600,000
Litigation Loss $400,000
Aurous Incorporated planned to use $35 of material per unit but actually used $34 of material per unit, and planned to make 1,500 units but actually made 1,300 units. The sales-volume variance for materials is ________.
Answer:
45,500
Explanation:
1,300 unites multiplied bye 35 unites is 45,500 (hope this helps)
The sales-volume variance for materials is 7,000, favorable.
What is a sales-volume variance?The sales volume variance is calculated by multiplying the actual and expected number of units sold by the budgeted price per unit. Sales volume variance is a metric used by professionals to evaluate their sales performance by calculating the difference between their actual and budgeted sales volume.
The formula for calculating sales volume variance is:-
Sales-volume variance for materials = (Budgeted quantity- Actual quantity) × Standard Price
Budgeted quantity = 1,500 units
Actual quantity = 1,300 units
Standard price = $35
Sales-volume variance for materials = (1,500-1,300) ×$35
Sales-volume variance for materials = 7,000 favorable.
Therefore, the sales-volume variance for materials is 7,000 favorable.
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You buy one Huge-Packing August 50 call contract and one Huge-Packing August 50 put contract. The call premium is $1.95, and the put premium is $5.20. Your highest potential loss from this position is _________.
Ferrar Corporation has two major business segments-Consumer and Commercial. Data for the segment and for the company for March appear below: In addition, common fixed expenses totaled $210,000 and were allocated as follows: $122,000 to the Consumer business segment and $88,000 to the Commercial business segment. Select one: a. test b. test c. test d. test
Complete Question:
Ferrar Corporation has two major business segments: Consumer and Commercial. Data for the segments and for the company for March appear below: Sales revenues, Consumer $ 680,000 Sales revenues, Commercial $ 280,000 Variable expenses, Consumer $ 394,000 Variable expenses, Commercial $ 143,000 Traceable fixed expenses, Consumer $ 102,000 Traceable fixed expenses, Commercial $ 45,000 In addition, common fixed expenses totaled $210,000 and were allocated as follows: $122,000 to the Consumer business segment and $88,000 to the Commercial business segment. A properly constructed segmented income statement in a contribution format would show that the net operating income of the company as a whole is:
Answer:
Ferrar Corporation
A properly constructed segmented income statement in a contribution format would show that the net operating income of the company as a whole is:
= $66,000.
Explanation:
a) Data and Calculations:
Sales revenues, Consumer $ 680,000
Sales revenues, Commercial $ 280,000
Variable expenses, Consumer $ 394,000
Variable expenses, Commercial $ 143,000
Traceable fixed expenses, Consumer $ 102,000
Traceable fixed expenses, Commercial $ 45,000
In addition, common fixed expenses totaled $210,000 and were allocated as follows: $122,000 to the Consumer business segment and $88,000 to the Commercial business segment.
Segmented Income Statement for the month ended March 31
Consumer Commercial Total
Sales revenue $ 680,000 $ 280,000 $ 960,000
Variable expenses 394,000 143,000 537,000
Contribution margin $286,000 $137,000 $423,000
Traceable fixed expenses 102,000 45,000 147,000
Common fixed expenses 122,000 88,000 210,000
Total fixed expenses $224,000 $133,000 $357,000
Net income (loss) $62,000 $4,000 $66,000
Sheridan Company borrowed $3200000 on a construction loan at 12% interest on January 2, 2020. This loan was outstanding during the construction period. The company also had $13800000 in 9% bonds outstanding in 2020 and 2021. The interest capitalized for 2020 was:
Answer:
$1,594,000
Explanation:
Calculation to determine what The interest capitalized for 2020 was
2020 interest capitalized= $3,200,000* 12%*11/12 + $13,800,000 * 9%
2020 interest capitalized=$352,000+$1,242,000
2020 interest capitalized=$1,594,000
Therefore The interest capitalized for 2020 was $1,594,000
Describe the organizational structure of your school or company. What difficulties have you encountered working within this structure
Answer:
My company have a centralized structure of management framework. Under this structure all the decisions are made by the executive level managers of the company.
The main problem that me and my fellow workers face under this structure is that we do not get any space for creativity and judgement of our own. Also the organisation, do not emphasize on our suggestions that we believe can actually make us more efficient.
Sales 101 teaches you to: Always just answer the question the customer has Never try to get more information about what the customer needs Always answer a question with another question Never look the customer in the eye
Answer:
I think it's A) Always just answer the question the customer has.
Explanation:
I know it's not D) "Never look the customer in the eye."
I don't think it's C) "Always answer a question with another question" that just seems like it would be confusing for the customer.
And I don't think it's B) "Never try to get more information about what the customer needs" because part of you're job as a salesman is find out what the customer needs.
So that leaves answer choice A
About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below.
a. Company A has 285 employees. What is the probability that Company A will get the discount? (Round to four decimal places as needed.)
b. Company B has 502 employees. What is the probability that Company B will get the discount? (Round to four decimal places as needed.)
c. Company C has 1033 employees. What is the probability that Company C will get the discount? (Round to four decimal places as needed.)
Answer:
a. 0.0000
b. 0.1841
c. 0.9992
Explanation:
a. n = 285
p = 5% = 0.05
μ = np = 285 x 0.05
= 14.25
we fnd the standard deviation
sd = √np(1-p)
= [tex]\sqrt{285*0.05*0.95}[/tex]
= 3.6793
we find the z score
x = 30-0.5 = 29.5
[tex]z=\frac{29.5-14.25}{3.6793} \\= 4.14[/tex]
using the microsoft excel function
1-NORMSDIST(4.14)
probability = 1 -0.999982
= 0.0000
b.
n = 502
p = 0.05
np = 502x0.05
= 25.1
sd = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{502*0.05*0.95} \\= 4.8831[/tex]
x = 29.5
[tex]z = \frac{29.5-25.1}{4.8831} \\= 0.90[/tex]
1 - NORMSDIST(0.90)
= 1 - 0.815939875
PROB = 0.1841
c. n = 1033
p = 0.05
np = 1033*0.05
= 51.65
sd [tex]\sqrt{np(1-p)} \\= \sqrt{1033*0.05*0.95}[/tex]
= 7.0048
x = 29.5
[tex]z=\frac{29.5-51.65}{7.0048} \\= -3.16[/tex]
probability =
1 - normsdist(-3.16)
= 1 - 0.000788846
= 0.9992
Customers arrive at a bank teller machine at the rate one every three minutes. Each customer spends an average of two minutes at the teller machine. The arrival rate and the service rate are approximated by Poisson and negative exponential distributions respectively.
Determine the following:
a – utilization of the teller machine
b – average number of customers in line
c – average number of customers in the system
d – average time customers spend in line
e – average time customers spend in the system
f – probability of three customers in the system
g – probability of two or more customers in the system.
Answer:
Arrival rate
1 every 3 minutes
1 minute = 1/3 = 0.33
60 minutes = 0.33*60 = 19.8 = 20 per hour
λ = 20 per hour
Service Rate
1 every 2 minutes
1 minutes = 1/2 = 0.5
60 minutes = 0.5*60 = 30 per hour
µ = 30 per hour
a. Utilization of Teller Machine
P = λ / µ
P = 20/30
P = 66.67%
b. Average number of customers in line
Lq = pL = (λ/µ) (λ/µ- λ)
= (20 / 30) (20 / 30 - 20)
= 20/30 * 20 / 10
= 1.33 customers
c. Average number of customers in the system
L = (λ/µ- λ)
= 20 / 30 - 20
= 20 / 10
= 2 customers
d. Average time customer spends in line
Wq = λ/[µ*(µ- λ)]
= 20 / [30 * (30-20)]
= 20 / 30 * 10
= 0.06667 hours or 4 minutes
e. Average time customers spend in the system
W = 1/(µ- λ)
= 1 / 30 - 20
= 1/10
= 0.10 hours or 6 minutes
f. Probability that there are 3 customers in the system
Pn = (1-p)*p^n
= (1 - 20/30) * (20/30)^3
= 0.3333 * 0.296296
= 0.09876
g. Probability that there are two or more customers in the system
= 1 - P(0) - P(1)
= 1 - (1 - 20/30) * (20/30)^0 - (1 - 20/30) * (20/30)^1
= 1 - 1/3 - 2/9
= 4/9
= 0.4444
Betty (25 years old) studied music education in college and graduated a year ago. She currently works as a music teacher at a year-round private middle school. Her gross pay is $39600 a year, or $3300 a month. After taxes, health insurance, and other paycheck deductions, her net pay is $35900 a year. Based on recommended guidelines, how much money should Betty be saving each month
Answer:
Based on recommended guidelines, Betty should be saving at least $598.33 each month.
Explanation:
a) Data and Calculations:
Gross pay per year = $39,600
Gross pay per month = $3,300 ($39,600/12)
Net pay per year after deductions = $35,900
Total deductions for taxes, health insurance, etc. = $3,700 ($39,600 - $35,900)
Net pay per month after deductions = $2,992 ($35,900/12)
b) Based on the 50-30-20 budgeting method of spending 50% income on essentials, saving 20%, and leaving 30% for discretionary purchases, Betty should be saving at least $598.33 per month ($2,992 * 20%).
Fixed costs equal $16,000, unit contribution margin equals $35, and the number of units sold equal 1,300. Operating income is ________. Group of answer choices $16,000 $61,500 $45,500 $29,950
The answer to the question of the Operating Income is 61,500 Dollars. Taking into consideration the various fixed costs, contribution margin, and the number of units sold. Hence, option B is appropriate.
What are the fixed costs, operating income, and Contribution Margin?In general, investment securities that offer regular rate or dividend payments to investors until their expiration are referred to as having a fixed income. Government debt, municipal bonds, corporate debt, and asset-backed securities like mortgage-backed bonds are all included in the wide asset class known as "fixed costs." Because these investments offer a return in the shape of regular, fixed payments, they are known as "fixed costs" assets.
Operating income, or EBIT, is a measure of a company's profit used in accounting and finance. EBIT excludes interest payments and taxation expenses. Operating income is the adjusted revenues of a business after all operating costs and depreciation have been taken into account. The charges incurred to maintain the operation of the business are known as operating expenses.
Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The portion of total sales alluded to as "Contribution" is that which is used to pay fixed costs rather than variable costs. Hence, option B is correct.
Learn more about the fixed costs, operating income, and Contribution Margin here:
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