Answer:
Assuming cashflows of $800,000 a year:
Payback period = Investment / Stable cashflow
= 1,200,000 / 800,000
= 1.5 years
Assuming uneven cashflows:
Payback period = Number of years before payback year + Cash remaining to be paid / Cashflow in payback period
= 150,000 + 150,000 + 400,000 + 400,000
= $1,100,000
Years before payback year = 4 years
Cash remaining to be paid back = Investment - Cashflow so far
= 1,200,000 - 1,100,000
= $100,000
Payback period = 4 + 100,000 / 100,000
= 5 years
Emma's Electronics Incorporated has total assets of $56 and total debt of $43 million. The company also has operating profits of $27 million with interest expenses of $8 million.
Required:
a. What is Emma's debt ratio?
b. What is Emma's times interest earned?
c. Based on the information above, would you recommend to Emma's management that the firm is in a strong enough position to assume more debt and increase interest expense to $10 million?
Answer:
a. Debt Ratio = Debt / Total Assets
Debt Ratio = $43 million / $56 million
Debt Ratio = 0.76786
Debt Ratio = 76.79%
b. Time Interest Earned = EBIT / Interest
Time Interest Earned = $27 million / $8 million
Time Interest Earned = 3.375 times
c. If Interest expense is increased to 10 lmillion. The new Time Interest Earned = $27 million / $10 million = 2.7 times. The new time Interest Earned is at 3 times and this indicate that the company can easily raise more debt for its funding needs.
Kết luận sự thích ứng tâm lý của sinh viên năm nhất
Answer:
I think I should ask in English language
If the cost of the beginning work in process inventory is $85,000, costs of goods manufactured is $960,000, direct materials cost is $344,000, direct labor cost is $224,000, and overhead cost is $329,000, calculate the ending work in process inventory.
Answer:
$22,000
Explanation:
Costs of goods manufactured = Opening Work in Process + Manufacturing Costs Incurred during the Period - Ending Work in Process
thus,
Ending Work in Process = Opening Work in Process + Manufacturing Costs Incurred during the Period - Costs of goods manufactured
therefore,
Ending Work in Process = $85,000 + ( $344,000+ $224,000+ $329,000) - $960,000
= $22,000
Aber Inc. plans to develop a shopping center. In the first quarter, they spent the following amounts: Acquisition of land $15000 Surveys and legal fees 600 Land clearing 200 Fencing 1000 Install lighting and signage 860 What amount should be recorded as the cost of land in the books of the corporation
Answer: $15,800
Explanation:
When it comes to fixed assets like land, all costs that were necessary to acquire the land and to get it ready for use are capitalized - included in the cost of the fixed assets.
Cost of land = Acquisition cost + Surveys and legal fees + Land clearing to get it ready for use
= 15,000 + 600 + 200
= $15,800
During 2015, Orton Company earned net income of $464,000 which included deprecia-tion expense of $78,000. In addition, the company experienced the following changes in the account balances listed below:
Increases Decreases
Accounts payable $45,000 Accounts receivable $12,000
Inventory 36,000 Accrued liabilities 24,000
Prepaid insurance 33,000
Calculate net cash flow from operating activities using indirect method:______.
Answer:
$572,000
Explanation:
Cash flow from operating activities
Net income $464,000
Adjustment for Non-Cash items :
Depreciation $78,000
Adjustment for Changes in Working Capital items :
Increase in Accounts payable $45,000
Increase in Inventory ($36,000)
Decrease in Accounts receivable $12,000
Decrease in Accrued liabilities ($24,000)
Decrease in Prepaid insurance $33,000
Net cash flow provided by operating activities $572,000
thus,
net cash flow from operating activities using indirect method is $572,000.
Gideon Company uses the allowance method of accounting for uncollectible accounts. On May 3, the Gideon Company wrote off the $2,000 uncollectible account of its customer, A. Hopkins. The entry or entries Gideon makes to record the write off of the account on May 3 is:______.
Accounts Receivable—A. Hopkins 2,000
Allowance for Doubtful Accounts 2,000
Allowance for Doubtful Accounts 2,000
Bad debts expense 2,000
Accounts Receivable—A. Hopkins 2,000
Bad debts expense 2,000
Cash 2,000
Accounts Receivable—A. Hopkins 2,000
Allowance for Doubtful Accounts 2,000
Accounts Receivable—A. Hopkins 2,000
Cash 2,000
Accounts Receivable—A. Hopkins 2,000
Answer:
DR Allowance for Doubtful Accounts 2,000
CR Accounts Receivable—A. Hopkins 2,000
Explanation:
Because Gideon uses the allowance method, when a debt is written off, it will be written off from the allowance that was created for doubtful debts instead of directly to the bad debt account.
Accounts Receivable will be credited to show that it is decreasing and Allowance for Doubtful debt will be debited because expenses are debited when they increase.
WHAT ARE THE NEW LINKEDIN LIMITS?
Answer:
100 invites per week.
The new invite limits have been introduced by LinkedIn according to which you can’t send more than 100 invites per week. When you have reached the limit, a notification will pop up saying you’ve reached weekly limits.
You can’t do anything about it until the new week starts and the weekly limit resets.
A new employee, John Chapman, earns $10 per hour and gets time-and-a-half over 40 hours per week. His first week he worked 45 hours. Deductions from his check were $30 for OASDI, $7 for Medicare, $ 61 for federal income tax withholding, and $15 for a United Way contribution. What was his gross pay for the period
Answer: $475
Explanation:
Gross pay is:
= Regular pay + Overtime
= (Regular hours * Regular pay) + ( Overtime hours * regular pay * time and a half)
= (10 * 40 hours) + ( (45 - 40 hours) * 10 * 1.5)
= 400 + 75
= $475
As a customer acquisition technique, events: a. Are considered mostly ineffective compared to mobile advertising or social media promotions b. Tend to be used independently of other acquisition techniques c. Can happen in an online environment d. Are primarily an offline channel
Answer: a. Are considered mostly ineffective compared to mobile advertising or social media promotions.
Explanation:
Customer acquisition techniques refers to the strategies that are helps in the identification of the potential leads which are then converted into active customers. Such techniques include personalized offer design, automated email marketing etc.
As a customer acquisition technique, events are considered mostly ineffective compared to mobile advertising or social media promotions.
Sometimes it is necessary to invest a certain amount of money at a fixed interest rate for a fixed number of year so that a financial goal is met. The inital amount invested in called the present value.
a. True
b. False
Answer: True
Explanation: financial goals is an important step toward becoming financially secure.
Frank is a 60- year-old man who is well-loved in his community since he was a boy. He is someone who is outgoing, a party lover, and love to have fun hanging out with peers. Frank is confident about life. From an early age he knew exactly what he wanted to become, and now as a man, he is confident about his career and family and want to leave them a good life when he departs this life. Frank express that he is not afraid of dying but he wants them to be ok when he is gone. At work Frank is helpful to his colleagues, and even in his community he is well-known among the elderly since he is always putting on Christmas treats for them. Imagine that Frank is your colleague, and that your boss asks you to write a character reference for Frank. Using Jung’s personality theory to guide your writing, present a minimum one- page character reference in which you spell out Franks behaviour, his outlook on life, his philosophy about people and all the other important things you know about him. Ensure you point out how these different parts of Franks life fits into Jung’s theory and overall what Jung’s theoretical concept says about him.
Answer:
Jung's personality theory-
Carl Gustav Jung's research was deep-rooted in psychoanalysis and was a Swiss Psychiatrist. He was greatly influenced by Freud and had also worked with him. He had research in personality, the human psyche, and dream analysis.
Jung gave this theory based on different learning styles or attitudes. Jung distinguished the human personality on the basis of types of attitudes:
Introvert vs. Extrovert Perceiving vs. Judging Thinking vs. Feeling Intuition vs. SensationExplanation:
Introvert people are those that have their own world, own privacy, feeling exhausted while having interactions with others and obtain energized in their own company, wish to observe others before getting started, quiet, first listen, watch then reflect. Extrovert people are those that like to interact with different people, like to enjoy parties, get energized within the outer world, would like working in groups, like to socialize, able to jump in without prior guidance. Frank has an 'extroversion' personality who may be a lover of outgoing and enjoying parties with peers, likes to socialize, and generating ideas from people. Perceiving- people that don't have firm decisions and alter their decisions on getting new information. Judging- people that are firm on their decisions and don't change their decisions on any new information. Frank may be a judging sort of person, he has firm decisions. Thinking- Those people that make decisions on the idea of some reason and logic but not on the idea of emotions. Feeling- Those people that believe in relationships first and make their decisions emotionally. Frank may be a Thinking sort of one that isn't afraid to die and is prepared to go away his family to be ok. Intuition- wish to work briefly sessions, considering ideas for the longer term, not practical, always brooding about future goals, belief in theories. Sensation- specialize in this, reasonable and practical, solver. Frank is wise as he's not a daydreamer, confident about his life, and knows what to try to do in his life and for his family.Using the following information, what is the amount of gross profit?
Purchases $37,000
Merchandise inventory, September 1 6,100
Selling expense 1,050
Merchandise inventory, September 30 6,800
Sales 91,000
Interest expense 1,040
Administrative expense 1,010
Rent revenue 1,700
Answer:
Gross profit= $54,700
Explanation:
Giving the following information:
Purchases $37,000
Merchandise inventory, September 1 6,100
Merchandise inventory, September 30 6,800
Sales 91,000
First, we need to calculate the cost of goods sold:
COGS= beginning finished inventory + cost of goods purchased - ending finished inventory
COGS= 6,100 + 37,000 - 6,800
COGS= $36,300
Now, the gross profit:
Gross profit= sales - COGS
Gross profit= 91,000 - 36,300
Gross profit= $54,700
Hill Company uses the periodic inventory system. It records a transaction that increases the balances in its purchases and accounts payable accounts. Which of the following is true about Hill Company?
a. When the related merchandise is sold, the purchases account will be decreased by the related cost of goods sold.
b. The manner in which this transaction was recorded indicates that Hill returned $6,000 of merchandise to a supplier.
c. The balance in the account will appear on the balance sheet at year end.
d. The manner in which this transaction was recorded indicates that Hill purchased inventory on account.
Answer:
Hill Company
The true statement about Hill Company is:
d. The manner in which this transaction was recorded indicates that Hill purchased inventory on account.
Explanation:
Purchases made on account (or credit terms) are debited to the Purchases account (periodic inventory system) and credited to the Accounts Payable account. This increases the amount of purchases and the accounts payable account respectively by the same amount. If Hill Company uses the perpetual inventory system, the debit goes to the Inventory account and the corresponding credit to the Accounts Payable account.
At December 31, Folgeys Coffee Company reports the following results for its calendar year.
Cash sales $918,000
Credit sales 318,000
Its year-end unadjusted trial balance includes the following items.
Accounts receivable $143,000 debit
Allowance for doubtful accounts 6,800
Required:
Prepare the adjusting entry to record bad debts expense assuming uncollectibles are estimated to be (1) 5% of credit sales, (2) 3% of total sales and (3) 8% of year-end accounts receivable.
Answer:
1. Dr Bad debts expense $15,900
Cr Allowance for Doubtful Accounts $15,900
2. Dr Bad debts expense $37,080
C Allowance for Doubtful Accounts $37,080
3. Dr Bad debts expense $18,240
Cr Allowance for Doubtful Accounts $18,240
Preparation of the adjusting entry to record bad debts expense
1. Dr Bad debts expense $15,900
Cr Allowance for Doubtful Accounts $15,900
(318,000*5%)
2. Dr Bad debts expense $37,080
C Allowance for Doubtful Accounts $37,080
[(918000+318,000)*3%]
3. Dr Bad debts expense $18,240
Cr Allowance for Doubtful Accounts $18,240
[(143,000*8%) + 6800]
Kraus Steel Company has two departments, Casting and Rolling. In the Rolling Department, ingots from the Casting Department are rolled into steel sheet. The Rolling Department received 46,300 tons from the Casting Department in October. During October, the Rolling Department completed 54,000 tons, including 11,900 tons of work in process on October 1. The ending work in process inventory on October 31 was 4,200 tons.
Required:
How many tons were started and completed during October?
Answer:
42,100 tons
Explanation:
Units Completed = Beginning Work in Process Units Completed + Units started & Completed during October
54,000 = 11,900 + Units started & Completed during October
Units started & Completed during October = 54,000 - 11,900
Units started & Completed during October = 42,100
So, the number of tons were started and completed during October is 42,100 tons.
The double-declining-balance rate for calculating depreciation expense is determined by doubling the straight-line rate. Assuming that an asset has a useful life of 25 years, determine the rate to be used if using the double-declining-balance method
Answer:
the depreciation rate in cash when the double-declining method should be used is 8%
Explanation:
The computation of the depreciation rate in cash when the double-declining method should be used is given below:
= 1 ÷ useful life × 2
= 1 ÷ 25 × 2
= 0.08
= 8%
Hence, the depreciation rate in cash when the double-declining method should be used is 8%
The same should be relevant and considered too
A minor bought an Ernie Banks baseball card from a baseball card store. The card was marked $12, and the inexperienced clerk who sold it did not know the store owner, who was gone at the time of the sale, meant it to be sold for $1,200. Can the owner get the card back because of the minor’s lack of capacity? Why?
Answer: No. The owner cannot get the card back because of the minor’s lack of capacity
Explanation:
From the information given, we are told that a minor bought a baseball card from a baseball card store for $12, even though the price was $1,200.
It should be noted that the owner cannot get the card back based on the minor’s lack of capacity. In this case, the idea is to protect the minor, therefore the minor who bought the baseball card is the one that can disaffirm or cancel the contract. In this case, the adults are bound to the contract.
The baseball card will only be gotten if the minor wishes to give it back.
Assume that Corn Co. sold 7,600 units of Product A and 2,400 units of Product B during the past year. The unit contribution margins for Products A and B are $34 and $59, respectively. Corn has fixed costs of $378,000. The break-even point in units is a.9,450 units b.11,340 units c.7,560 units d.14,175 units
,Answer: a. 9,450 units
Explanation:
You need to find the weighted average contribution margin for both products.
Product A
Weighted average contribution margin = Contribution margin * Units sold / Total units sold
= 34 * 7,600 / (7,600 + 2,400)
= $25.84
Product B
= 59 * 2,400 / 10,000
= $14.16
Breakeven point in units = Fixed costs/ (Weighted average contribution margin of both A and B)
= 378,000 / (25.84 + 14.16)
= 9,450 units
For each of the following separate transactions:
Sold a building costing $31,500, with $20,600 of accumulated depreciation, for $8,600 cash, resulting in a $2,300 loss.
Acquired machinery worth $10,600 by issuing $10,600 in notes payable.
Issued 1,060 shares of common stock at par for $2 per share.
Note payables with a carrying value of $40,300 were retired for $47,600 cash, resulting in a $7,300 loss.
(a) Prepare the reconstructed journal entry.
1. Record Sale of Building
2. Record Acquisition of machinery
3. Record the issuance of common stock for cash
4. Record payment of cash to retire debit
(b) Identify the effect it has, if any, on the investing section or financing section of the statement of cash flows.
Answer:
a) Journal Entries:
1. Debit Sale of Building $31,500
Credit Building $31,500
To transfer building to sale of building account.
Debit Accumulated Depreciation $20,600
Credit Sale of Building $20,600
To transfer accumulated depreciation to sale of building account.
Debit Cash $8,600
Credit Sale of Building $8,600
To record the proceeds received from the sale of building.
2. Debit Machinery $10,600
Credit Notes Payable $10,600
To record the acquisition of machinery.
3. Debit Cash $2,120
Credit Common stock $1,060
Credit APIC $1,060
To record the issuance of 1,060 shares of common stock at par for $2 per share.
4. Debit Note payables $40,300
Debit Loss (Interest expense) $7,300
Credit Cash $47,600
To record the retirement of the note payable.
b) Effect of transactions on Investing or Financing sections of the Statement of Cash Flows:
Investing activities:
Sale of Building +$8,600
Financing activities:
Issuance of common stock +$2,120
Notes payable -$47,600
Explanation:
a) Data and Analysis:
Sale of Building $31,500 Building $31,500
Accumulated Depreciation $20,600 Sale of Building $20,600
Cash $8,600 Sale of Building $8,600
Machinery $10,600 Notes Payable $10,600
Cash $2,120 Common stock $1,060 APIC $1,060 shares of common stock at par for $2 per share.
Note payables $40,300 Interest Loss $7,300 Cash $47,600
Assume that Zonk is a potential leveraged buyout candidate. Assume that the buyer intends to put in place a capital structure that has 70 percent debt with a pretax borrowing cost of 14 percent and 30 percent common equity. Compute the revised equity beta for Zonk based on the new capital structure.
Answer: 4.35
Explanation:
The revised equity beta for Zonk based on the new capital structure will be gotten as follows:
= 1.13 × [1 + (1 - 35%)][70% /30%]
= 1.13 × [1+(1-0.35)][0.70/0.30]
= 1.13 × [1 + 0.65][2.33]
= 1.13 × (1.65)(2.33)
= 4.35
Therefore, the revised equity beta for Zonk is 4.35.
Conflicts of interest a. have become less frequent today. b. always involve personal financial gain. c. are morally worrisome only when the employee acts to the detriment of the company. d. occur when employees have special or private interests that are substantial enough to interfere with their job duties.
Answer:
D
Explanation:
Conflicts of interest occur when employees have special or private interests that are substantial enough to interfere with their job duties
For example, imagine that there is an analyst who works in a firm. He comes across material non public information that the value of the shares of the company is about to plummet. This analyst has shares in the company.
A conflict of interest arises, he can either trade his shares and engage in insider trading or not trade his shares so as to protect the integrity of the capital market
the ethical step is not to trade
A firm has estimated Free Cash Flows of $300,000, $310,000 and $360,000 for the next three (3) years. If this firm has a WACC of 9.40% and expects these cash flows to grow by 2.10% in perpetuity, then what is the Terminal Value of these expected perpetual cash flows.
Answer: $5,035,068.49
Explanation:
Terminal value is calculated based on the last cashflow and the growth rate in perpetuity.
The Gordon Growth Model is best used here:
= Free Cash Flow₄ / (WACC - Growth rate)
= (FCF₃ * (1 + growth rate) ) / (WACC -Growth rate)
= (360,000 * (1 + 2.10%)) / (9.40% - 2.10%)
= 367,560 / 7.3%
= $5,035,068.49
The contribution margin format income statement: Multiple Choice is most frequently used for financial statement reporting purposes. uses a behavior pattern classification for costs rather than a functional cost classification approach. emphasizes that all costs change in proportion to any change in revenues. results in a larger amount of operating income than the traditional income statement format.
Answer: uses a behavior pattern classification for costs rather than a functional cost classification approach.
Explanation:
The behavioral pattern of a cost refers to its relationship with the volume of production or sales. Costs that change along with the volume of production or sales are termed "variable costs" and costs that do not change are termed "fixed costs".
The Contribution Margin income statement classifies costs by whether they are variable or fixed which is why it is said that the format uses a behavioral for cost classification pattern not a functional one.
Kluber, Inc. had net income of $911,000 based on variable costing. Beginning and ending inventories were 56,100 units and 54,200 units, respectively. Assume the fixed overhead per unit was $1.80 for both the beginning and ending inventory. What is net income under absorption costing?
a. $811,730
b. $904,160
c. $1,010,270
d. $907,580
e. $911,000
Answer:
Net operating income (absorption)= $907,580
Explanation:
Giving the following information:
Fixed overhead per unit= $1.80
Net income= $911,000 (variable costing)
Beginning inventory= 56,100 units
Ending inventory= 54,200 units
Under absorption costing, fixed manufacturing overhead is a product cost. We need to incorporate into the cost of goods sold the fixed overhead from beginning inventory and deduct the fixed overhead allocated into ending inventory.
Net operating income= 911,000
Less:
Fixed overhead beginning inventory= (1.8*56,100)
Add:
Fixed overhead ending inventory= (1.8*54,200)
Net operating income (absorption)= $907,580
Vihaan Chemicals Company processes a number of chemical compounds used in disinfecting health club fitness equipment. One compound is decomposed into two chemicals: flexalene and soreaphine. The cost of processing one batch of compound is $75,000, and the result is 6,400 gallons of flexalene and 8,000 gallons of soreaphine. Vihaan Chemicals can sell the flexalene at split-off for $12.00 per gallon and the soreaphine for $6.15 per gallon. Alternatively, the flexalene can be processed further at a cost of $8.40 per gallon (of flexalene) into lactine. It takes 2 gallons of flexalene for every gallon of lactine. A gallon of lactine sells for $63.
Required: 1. Which alternative is more cost effective and by how much? NOTE: DO NOT round interim calculations and, if required, round your answer to the nearest dollar. by $ 2. What if the production of flexalene into lactine required additional purchasing and quality inspection activity? Every 550 gallons of flexalene that undergo further processing require 22 more purchase orders at $10 each and 18 more quality inspection hours at $26 each. Which alternative would be better and by how much? NOTE: Round interim calculations and your final answer to the nearest cent. by $_______.
Answer:
Vihaan Chemicals Company
1. The more cost-effective alternative is to process Flexalene further into Lactine. The gain for further processing is $71,040.
2. The better alternative is to process Flexalene further into Lactine. The gain for further processing is now $63,034.
Explanation:
a) Data and Calculations:
Cost of processing one batch of compound = $75,000
Result of processing the compound:
Flexalene Soreaphine
Gallons processed 6,400 8,000
Split-off selling price per unit $12.00 $6.15
Further processing cost per gal. $8.40
Selling price of Lactine = $63 per gallon
Sales revenue from Sale of Flexalene at split-off = $76,800
Net Sales revenue from Sale of Lactine after further processing of Flexalene = $147,840 ($63 * 6,400/2) - ($8.40 * 6,400)
Gain from further processing of Flexalene into Lactine = $71,040 ($147,840 - $76,800)
2. Additional costs for further processing:
Purchasing order cost = $2,560 (6,400/550 * 22 * $10)
Quality inspection cost = $5,446 (6,400/550 * 18 * $26)
Total additional costs = $8,006
Gain from further processing of Flexalene into Lactine = $63,034 ($147,840 - $76,800 - $8,006)
At December 31, Amy Jo's Appliances had account balances in Accounts Receivable of $308,000 and in Allowance for Uncollectible Accounts of $910 (credit) before any adjustments. An analysis of Amy Jo's December 31 accounts receivable suggests that the allowance for uncollectible accounts should be 4% of accounts receivable. Bad debt expense for the year should be: Multiple Choice $13,230. $12,320. $11,410. $11,911.
Brian lives in San Francisco and runs a business that sells guitars. In an average year, he receives $704,000 from selling guitars. Of this sales revenue, he must pay the manufacturer a wholesale cost of $404,000; he also pays wages and utility bills totaling $286,000. He owns his showroom; if he chooses to rent it out, he will receive $3,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Brian does not operate this guitar business, he can work as an accountant, receive an annual salary of $20,000 with no additional monetary costs, and rent out his showroom at the $3,000 per year rate. No other costs are incurred in running this guitar business.
Identify each of Jake's costs in the following table as either an implicit cost or an explicit cost of selling guitars.
Implicit Cost Explicit Cost
The wholesale cost for the guitars that Charles pays
the manufacturer.
The wages and utility bills that Charles pays.
The salary Charles could earn if he worked as an accountant.
The rental income Charles could receive if he chose to rent
out his showroom .
Complete the following table by determining Jake's accounting and economic profit of his guitar business.
Profit (Dollars)
Accounting Profit
Economic Profit
If Jake's goal is to maximize his economic profit, he___stay in the guitar business because the economic profit he would earn as an accountant would be___.
Answer:
The wholesale cost for the guitars that Charles pays the manufacturer - Explicit Cost
The wages and utility bills that Charles pays. - Explicit Cost
The salary Charles could earn if he worked as an accountant. - Implicit Cost
The rental income Charles could receive if he chose to rent
out his showroom - Implicit Cost
$14000
$-9000
should not
$6,000
Explanation:
Accounting profit= total revenue - explicit cost
Total revenue =price x quantity sold
Explicit cost includes the amount expended in running the business.
They include rent , salary and cost of raw materials
$704,000 - ($404,000 + $286,000) = $14000
Economic profit = accounting profit - implicit cost
Implicit cost is the cost of the next best option forgone when one alternative is chosen over other alternatives.
Implicit costs = 20,000 + 3000 = 23,000
14,000 - 23,000 = -9000
A company purchases and uses 40000 gallons of materials for which they paid $3 a gallon. The materials price variance was $90000 favorable. What is the standard price per gallon?
Answer:
the standard price per gallon is $5.25
Explanation:
the computation of the standard price per gallon is given below;
Materials Price Variance = Actual Quantity × (Standard Price - Actual Price)
$90,000 = 40,000 × (Standard Price - $3)
$2.25 = Standard Price - $3
Standard Price = $5.25
Hence, the standard price per gallon is $5.25
The same should be considered
A large company has an inspection system for the batches of small compressors purchased from vendors. A batch typically contains 15 compressors. In the
inspection system, a random sample of 5 is selected and all are tested. Suppose there are 2 faulty compressors in the batch of 15.
(a) What is the probability that for a given sample there will be 1 faulty compressor?
(b) What is the probability that inspection will discover both faulty compressors?
Solution :
Given data :
Total number compressors in a batch = 15 compressors
Number of samples to be tested = 5
Let the number of faulty compressors out of 15 compressors = 2
a) Therefore, the ways of selecting [tex]1[/tex] faulty and [tex]4[/tex] good compressor is
[tex]$=^2C_1 \times ^{13} C_4$[/tex]
The total number of ways = [tex]$^{15}C_5$[/tex]
Therefore, the probability is
[tex]$=^2C_1 \times ^{13}C_4 \times ^{15} C_5$[/tex]
[tex]=0.4761[/tex]
b). Number of ways for selecting [tex]2[/tex] faulty and [tex]3[/tex] good compressor is
[tex]$^{13}C_3[/tex]
Thus the probability
[tex]$=\frac{^{13}C_3}{^{15}C_5}$[/tex]
[tex]$=0.0952$[/tex]
Assume that there are four consumers A, B, C, and D, and the prices that each of them is willing to pay for a glass of lemonade is, respectively, $1.50, $1.20, $1.00, and $0.90. If the actual price of lemonade is $1.00 per glass, then consumer surplus in this market will be:
a. $0.80
b. $0.70
c. $0.50
e. $0.60
