Par Value x price = Selling Price
240,000 x 117.25 = 281,400
Cashflow Table value = Present value
240,000 0.3083 (Present Value table 4%, 30 periods) 73,992
12,000 17.292 (PV annuity table 4%, 30 periods) +207,504
281,496
Difference due to rounding 281,400 -281,496 = -96
Use the following information to compute the cost of direct materials used for the current year. Assume the raw materials inventory account is used only for direct materials. (Assume no indirect materials.)
January 1 December 31
Inventories Raw materials inventory $6,700 $11,000
Work in process inventory 12,400 11,600
Finished goods inventory 10,900 7,500
Activity during current year Materials purchased $127,000
Direct labor 103,200
Factory overhead 47,700
Answer:
Direct material used= $122,700
Explanation:
Giving the following information:
January 1 December 31
Inventories Raw materials inventory $6,700 $11,000
Activity during current year Materials purchased $127,000
To calculate the direct material used, we need to use the following formula:
Direct material used= beginning inventory + purchases - ending inventory
Direct material used= 6,700 + 127,000 - 11,000
Direct material used= $122,700
Determining Market-Based and Negotiated Transfer Prices
Carreker, Inc., has a number of divisions, including the Alamosa Division, producer of surgical blades, and the Tavaris Division, a manufacturer of medical instruments.
Alamosa Division produces a 2.6 cm steel blade that can be used by Tavaris Division in the production of scalpels. The market price of the blade is $22.00. Cost information for the blade is:
Variable product cost $ 9.60
Fixed cost 6.00
Total product cost $15.60
Tavaris needs 15,000 units of the 2.6 cm blade per year. Alamosa Division is at full capacity (90,000 units of the blade).
Required:
Round your answers to the nearest cent.
If Carreker, Inc., has a transfer pricing policy that requires transfer at full product cost, what would the transfer price be?
$ per unit
Do you suppose that Alamosa and Tavaris divisions would choose to transfer at that price?
Alamosa
Tavaris
Answer:
Carreker, Inc.
The transfer price per unit is $15.60.
Travaris would choose to transfer at this full cost price of $15.60 per unit, while Alamosa would choose to transfer at the market price of $22.00 per unit.
Explanation:
a) Data and Calculations:
Divisions: Alamosa and Tavaris
Market price of blade per unit = $22
Production costs:
Variable product cost $ 9.60
Fixed cost 6.00
Total product cost $15.60
Units of the blade required by Tavaris = 15,000
Full product cost, transfer price = $15.60 per unit
Total transfer price = $234,000 (15,000 * $15.60)
Choice price per unit:
Alamosa = $22.00
Tavaris = $15.60
Find the price a purchaser should be willing to pay for the given bond. Assume that the coupon interest is paid twice a year. $30,000 bond with coupon rate 4.4% that matures in 7 years; current interest rate is 6.8%.
Answer:
Bond Price= $26,042.12
Explanation:
Giving the following information:
Coupon= (0.044/2)*30,000= $660
YTM= 0.068/2= 0.034
Time to maturity= 7*2= 14 semesters
Face value= $30,000
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 660*{[1 - (1.034^-14)] / 0.034} + [30,000 /(1.034^14)]
Bond Price= 7,256.14 + 18,785.98
Bond Price= $26,042.12
A peach farmer must decide how many peaches to harvest for the world peach fair. He knows that there is a 25 percent chance that the world price will be $3, a 50 percent chance that it will be $3.50, and a 25 percent chance that it will be $4. His cost function is C(Q) = 0.05Q2. The farmer's maximum expected profit is:
a. $61.25.
b. 0.
c. $122.50.
d. None of the answers are correct.
Answer:
The correct option is a. $61.25.
Explanation:
Note: The correct cost function of the farmer is as follows:
C(Q) = 0.05Q^2 ……………….. (1)
Differentiating equation
MC = C’(Q) = 0.1Q
P = Expected price = (25% * $3) + (50% * $3.50) + (25% * $4) = $3.50 ……. (2)
Since profit is maximized when MC = P, we equate equations (1) and solve for Q which is the expected profit-maximizing quantity as follows:
0.1Q = 3.50
Q = 3.50 / 0.1 = 35
Substituting Q = 35 into equation (1), we have:
C(Q) = 0.05 * 35^2 = $61.25
R(Q) = Maximum expected revenue = P * Q = $3.50 * 350 = $122.50
The farmer's maximum expected profit = R(Q) - C(Q) = $122.50 - $61.25 = $61.25
Therefore, the correct option is a. $61.25.
The farmer's maximum expected profit is d. None of the answers are correct.
Data and Calculations:
The Probability that the world price will be $3 = 25%
The Probability that the world price will be $3.50 = 50%
The Probability that the world price will be $4 = 25%
Therefore, the expected world price = $3.50 ($3 x 25% + $3.50 x 50% = $4 x 25%)
Sales Revenue = S(Q) $3.50Q
Cost function = C(Q) = 0.05Q²
The farmer's Maximum Profit is given by the profit function, P(Q) = 3.50Q - 0.05Q²
Thus, the farmer's maximum expected profit is d. None of the answers are correct.
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If a firm has a market beta of 0.9. is subject to an income tax rate of 35 percent, has a risk-free rate of 6 percent, a market risk premium of 7 percent, and has a market value of debt to market value of equity ratio of 60 percent, what does the market expect the firm to generate in terms of equity returns using CAPM?
a) 12.3%
b) 7%
c) 6%
d) 13%
Answer:
A
Explanation:
According to the capital asset price model: Expected rate of return = risk free + beta x (market rate of return - risk free rate of return)
risk free + (beta x market premium)
6 + (0.9 X 7) = 12.3%
A company purchases 50 units of inventory for $3.50 on January 5 and 35 units for $3.00 on January 25. It sells a total of 65 units on January 31. If the company is following the FIFO method of inventory costing, what is the total cost of the inventory sold?
Answer:
COGS= $220
Explanation:
Giving the following information:
A company purchases 50 units of inventory for $3.50 on January 5 and 35 units for $3.00 on January 25.
Number of units sold= 65
First, we need to calculate the number of units in ending inventory:
Ending inventory in units= (50 + 35) - 65= 20
Now, under the FIFO (first-in, first-out) method, the cost of goods sold is calculated using the cost of the firsts units incorporated into inventory:
COGS= 50*3.5 + 15*3
COGS= $220
You are considering the purchase of a machine out of your evaluation among four new ones. They have differing initial and ongoing costs and differing lives. Whichever machine is purchased will be replaced at the end of its useful life. Under such circumstances, you should choose the machine to purchase based on the ___________________.
Answer:
Lowest equivalent annual cost.
Explanation:
Considering the above scenario, it is more advantageous to choose the machine that has the lowest equivalent annual cost. As the newly acquired machine will be replaced at the end of its useful life, it is more advantageous for it to have a higher performance and lower annual cost among others, as the cost of depreciation of machinery and equipment must be considered as a fixed cost that will also directly impact a company's accounts.
of 20 >
Which of the statements concerning retirement accounts is true?
A.)Since Roth IRAs are funded with post-tax dollars, they are never as attractive as pre-tax traditional IRAs.
B.)Contributions to personal retirement accounts remain the property of the individual or heirs, but Social Security
payments are transferred to others.
C.)Individuals can allocate the funds in IRAs, 401(k)s, Roth IRAs, and Social Security accounts according to their risk preferences.
D.)Individuals do not pay income tax on Social Security contributions, but there are no tax benefits tied to personal
retirement accounts.
B. Contributions to personal retirement accounts remain the property of the individual of heirs, but SS payments are transferred to others.
Contributions to personal retirement accounts remain the property of the individual or heirs, but Social Security payments are transferred to others. Thus, option B is correct.
What is retirement?Retirement can be termed as when a person leaves an active work life and takes the decision of not returning to work. people usually tend to take retirement at the age of 50 to 60. they may take full, partial, or temporary retirement.
Retirement accounts are basically created by people to have a saving, a tax-free income, and that act as social security.
If you have a retirement account, then the amount that is in the account remains with the account holder itself, but the amount of social security gets transferred to the others. Therefore, option B is the correct option.
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A company purchased $2,300 of merchandise on July 5 with terms 2/10, n/30. On July 7, it returned $450 worth of merchandise. On July 12, it paid the full amount due. Assuming the company uses a perpetual inventory system, and records purchases using the gross method, the correct journal entry to record the payment on July 12 is:
Answer:
Dr Accounts payable 1850
Cr Merchandise inventory $37
Cr Cash $1813
Explanation:
Preparation of the journal entry to record the payment on July 12 Using the gross method,
JOURNAL ENTRY
Jul-12
Dr Accounts payable ($2300-450) 1850
Cr Merchandise inventory ($1850*2%) $37
Cr Cash $1813
($1850-$37)
(Being entry recorded for payment to supplier)
Cavern Company's output for the current period results in a $6,400 unfavorable direct material price variance. The actual price per pound is $62.00 and the standard price per pound is $60.00. How many pounds of material are used in the current period
Answer:
3,200 unit
Explanation:
Direct materials price variance = Quantity used * (Standard price - Actual price)
-$6,400 = Quantity used * ($60.00 - $62.00)
-$6,400 = Quantity used * -$2.00
Quantity used = -$6,400/-$2.00
Quantity used = 3,200 unit
So, the quantity of pounds of material used in the current period is 3,200 unit
Lap Corporation uses the weighted-average method in its process costing system. The beginning work in process inventory in a particular department consisted of 80,000 units, 100% complete with respect to materials and 25% complete with respect to conversion costs. The total dollar value of this inventory was $226,000. During the month, 150,000 units were transferred out of the department. The costs per equivalent unit for the month were $2.00 for materials and $3.50 for conversion costs. The cost of the units completed and transferred out of the department was:
Answer:
Lap Corporation
The cost of the units completed and transferred out of the department was:
= $825,000.
Explanation:
a) Data and Calculations:
Beginning work in process inventory = 80,000 units
Degree of completion = 100% materials and 25% conversion
Cost of beginning work in process = $226,000
Units transferred out = 150,000
Materials Conversion Total
Costs per equivalent unit $2 $3.50
Cost of units transferred out $300,000 $525,000 $825,000
= (150,000 * $2) (150,000 * $3.50)
A company produces a single product. Variable production costs are $12.50 per unit and variable selling and administrative expenses are $3.50 per unit. Fixed manufacturing overhead totals $41,000 and fixed selling and administration expenses total $45,000. Assuming a beginning inventory of zero, production of 4,500 units and sales of 3,850 units, the dollar value of the ending inventory under variable costing would be: Multiple Choice $10,400 $5,850 $8,125 $13,975
Answer:
the third option is correct - $8,125
Explanation:
The calculation of the ending inventory under variable costing is given below:
Ending inventory value (Variable costing) os
= Variable production cost per unit × No. of units
= $12.50 × (4,500 - 3,850)
= $8,125,
Hence, the ending inventory under variable costing is $8,125
Therefore the third option is correct
For each of the following scenarios, indicate which of the four basic tax planning variables (entity, character, time period, jurisdiction) impacts after-tax value.
a. Aloha Corporation is considering building a new manufacturing facility in either State U or State P. State U has a 10 percent state income tax rate. State P has a 15 percent state income tax rate, but offers a tax holiday for new business investment that would exempt up to $250,000 of Aloha’s earnings from state income tax for the first five years of operations in State P.
b. Mary wishes to help her nephew, Gill, pay his college tuition. Instead of giving Gill cash, Mary gives him bonds earning $10,000 annual interest income. Mary’s marginal tax rate is 35 percent and Gill’s marginal tax rate is 15 percent.
c. Congress has recently enacted a decrease in corporate tax rates that will take effect at the beginning of next year. Grant Company, a cash basis taxpayer, is planning to pay expenses prior to year-end in order to maximize its tax savings in the current year.
d. Will has $50,000 to invest in the stock market. He is considering two alternatives. Stock A pays annual qualifying dividends of 6 percent. Stock B pays no dividends but is expected to increase in value at a rate of 5 percent per year. Will would hold either investment for a minimum of four years. Will’s marginal tax rate on ordinary income is 35 percent.
Answer:
Letter D is the answer
Explanation:
trust me bro
Ayayai Corporation reported net cash provided by operating activities of $345,000, net cash used by investing activities of $145,000, and net cash provided by financing activities of $75,000. In addition, cash spent for capital assets during the period was $200,000. No dividends were paid. Calculate free cash flow.
Answer:
the free cash flow is $145,000
Explanation:
The computation of the free cash flow is given below:
The free cash flow is
= cash flow from operating activities - capital expenditures
= $345,000 - $200,000
= $145,000
hence, the free cash flow is $145,000
The same should be considered and relevant
A small component is purchased for the use in the production of a major product. The standard price of the component is $0.85. During a recent period, 7,800 units were purchased and 6,800 were actually used. The standard quantity of units allowed for the actual output of the period was 6,540 units. What was the materials quantity variance
Answer:
See below
Explanation:
Given the above information,
Material quantity variance is computed as;
= (Actual quantity - Standard quantity of units allowed for the actual output )
Actual quantity = 6,800 units
Standard quantity = 6,540 units
= 6,800 - 6,540
= 260 units
Therefore, the materials quantity variance is 260 Unfavourable.
It is unfavourable because the standard is higher than the actual
Compute the following ratios: i. Current Ratio ii. Accounts receivable turnover iii. Average Collection period iv. Inventory Turnover v. Days in Inventory vi. Profit Margin vii. Debt to Total Assets viii. Return on Asset ix. Asset Turnover x. Payout Ratio
Answer:
i know only 3 ratio
i.current ratio=current assets
iv.inventory turnover=cost of goods sold
v.days in inventory=inventory turnover ratio /365 days
The Treaty of Maastricht and the Treaty of Lisbon were indications of __________ within the European Union (EU).
a. a shift toward common external policies.
b. greater political union.
c. increased sovereignty for member countries.
d. a harmonized trade system.
e. less economic structure.
Answer:
Option B
Explanation:
In simple words, The Lisbon Treaty, often known as the Treaty of Lisbon, revised European Union laws by providing a more centralized administration as well as foreign relations, a suitable mechanism for nations wishing to exit the Community, and a simplified method for implementing new legislation.
Thus, from the above we can conclude that the correct option is B.
The Treaty of Maastricht and the Treaty of Lisbon were indications of within the European Union (EU) is :
B) Greater political union.
European UnionThe Treaty of Maastricht and the Treaty of Lisbon were indications of Greater political union within the European Union (EU) .
The Lisbon Treaty is changed European Union laws by giving a more centralized organization as well as remote relations, a appropriate instrument for countries wishing to exit the Community, and a disentangled strategy for actualizing unused legislation.
Thus, the correct option is B.
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Madison Corporation sells three products (M, N, and O) in the following mix: 3:1:2. Unit price and cost data are: M N O Unit sales price $ 16 $ 11 $ 13 Unit variable costs 10 9 10 Total fixed costs are $533,000. The contribution margin per composite unit for the current sales mix (round to the nearest cent) is:
Answer:
Madison Corporation
The contribution margin per composite unit for the current sales mix is:
= $26.
Explanation:
a) Data and Calculations:
Products M N O
Current sales mix 3 1 2
Unit sales price $16 $11 $13
Unit variable costs 10 9 10
Unit contribution $6 $2 $3
Contribution margin per
composite unit $18 $2 $6
= ($6 * 3) ($2 * 1) ($3 * 2)
b) The contribution margin per composite unit is computed as the addition of the contribution margin per composite unit for each product. Each product's contribution margin per composite unit is calculated as the contribution per unit multiplied by the sales mix for each product.
Mr. and Mrs. Hennesy met with their adviser and concluded that they would need $40,000 per year after they retire in order to live comfortably. They plan to retire 10 years from now and expect to enjoy 20-year of happy retirement before they go to the great beyond. How much should they deposit now in a bank account paying 9 percent to reach financial happiness during retirement
Answer:
Mr. and Mrs. Hennesy
They should deposit $337,928.65 now.
Explanation:
a) Data and Calculations:
Amount required per year after retirement = $40,000
Period of years during retirement = 20 years
Total amount required for 20 years = $800,000 ($40,000 * 20)
Interest rate = 9%
N (# of periods) 10
I/Y (Interest per year) 9
PMT (Periodic Payment) 0
FV (Future Value) 800000
Results
PV = $337,928.65
Total Interest $462,071.35
Hixson Company manufactures and sells one product for $34 per unit. The company maintains no beginning or ending inventories and its relevant range of production is 20,000 units to 30,000 units. When Hixson produces and sells 25,000 units, its unit costs are as follows:
Amount Per Unit
Direct materials $8.00
Direct labor $5.00
Variable manufacturing overhead $1.00
Fixed manufacturing overhead $6.00
Fixed selling expense $3.50
Fixed administrative expense $2.50
Sales commissions $4.00
Variable administrative expense $1.0
Required:
1. For financial accounting purposes, what is the total amount of product costs incurred to make 25,000 units? What is the total amount of period costs incurred to sell 25,000 units?
2. If 24,000 units are produced, what is the variable manufacturing cost per unit produced? What is the average fixed manufacturing cost per unit produced?
3. If 26,000 units are produced, what is the variable manufacturing cost per unit produced? What is the average fixed manufacturing cost per unit produced?
4. If 27,000 units are produced, what are the total amounts of direct and indirect manufacturing costs incurred to support this level of production?
5. What total incremental manufacturing cost will Hixson incur if it increases production from 25,000 to 25,001 units?
6. What is Hixson’s contribution margin per unit? What is its contribution margin ratio?
7. What is Hixson’s break-even point in unit sales? What is its break-even point in dollar sales?
8. How much will Hixson’s net operating income increase if it can grow production and sales from 25,000 units to 26,500 units?
9. What is Hixson’s margin of safety at a sales volume of 25,000 units?
10. What is Hixson degree of operating leverage at a sales volume of 25,000 units?
Answer:
Hixson Company
1. Total amount of product costs incurred to make 25,000 units is:
= $500,000
Total amount of period costs incurred to sell 25,000 units is:
= $187,500
2. Variable manufacturing cost per unit of 24,000 units is:
= $14.00
The fixed manufacturing cost per unit is:
= $6.25
3. The variable manufacturing cost per unit is:
= $14.00
The fixed manufacturing cost per unit produced is:
= $5.77
4. If 27,000 are produced, the total amounts of direct and indirect manufacturing costs incurred to support this level of production are:
Direct manufacturing costs = $378,000
Indirect manufacturing costs = $150,000
5. The total incremental manufacturing cost that Hixson will incur if it increases production from 25,000 to 25,001 units is:
= $14.
6. Contribution margin per unit is:
= $15
Contribution margin ratio is:
= 44%
7. Break-even point in unit sales is:
= 20,000 units
Break-even point in dollars sales = $300,000/44.1176%
= $680,000
8. The net operating income will increase to $97,500 ($15 * 6,500)if it can grow production and sales from 25,000 to 26,500.
9. Hixson's margin of safety at sales volume of 25,000 units is:
= $170,000
10. Degree of operating leverage at a sales volume of 25,000 units is:
= 3.85
Explanation:
a) Data and Calculations:
Selling price per unit = $34
Production and sales unit = 25,000 units
Unit costs at 25,000 units
Per Unit
Direct materials $8.00
Direct labor $5.00
Variable manufacturing overhead $1.00
Fixed manufacturing overhead $6.00
Fixed selling expense $3.50
Fixed administrative expense $2.50
Sales commissions $4.00
Variable administrative expense $1.00
Total cost per unit $31.00
Product costs (financial accounting):
Per Unit
Direct materials $8.00
Direct labor $5.00
Variable manufacturing overhead $1.00
Fixed manufacturing overhead $6.00
Total product costs per unit $20.00
Period costs:
Fixed selling expense $3.50
Sales commissions $4.00
Total selling period costs per unit $7.50
1. Total amount of product costs incurred to make 25,000 units is:
= $500,000 ($20 * 25,000)
Total amount of period costs incurred to sell 25,000 units is:
= $187,500 ($7.50 * 25,000)
2. Variable manufacturing cost per unit of 24,000 units is:
= $14.00
The fixed manufacturing cost per unit is:
= $6.25 ($6 * 25,000/24,000)
3. The variable manufacturing cost per unit is:
= $14.00
The fixed manufacturing cost per unit produced is:
= $5.77 ($6 * 25,000/26,000)
4. If 27,000 are produced, the total amounts of direct and indirect manufacturing costs incurred to support this level of production are:
Direct manufacturing costs = $378,000 ($14 * 27,000)
Indirect manufacturing costs = $150,000 ($6 * 25,000)
5. The total incremental manufacturing cost that Hixson will incur if it increases production from 25,000 to 25,001 units is $14.
Contribution margin per unit:
Selling price = $34
Variable costs = 19
Contribution = $15
6. Contribution margin per unit is $15 ($34 - $19).
Contribution margin ratio is 44% ($15/$34 * 100)
7. Break-even point in unit sales = FC/CM per unit
= $300,000/$15
= 20,000 units
Break-even point in dollars sales = $300,000/44.1176%
= $680,000 (20,000 * $34)
8. The net operating income will increase to $97,500 ($15 * 6,500)if it can grow production and sales from 25,000 to 26,500.
9. Hixson's margin of safety at sales volume of 25,000 units is:
= $170,000 ($850,000 - $680,000)
10. Degree of operating leverage at a sales volume of 25,000 units is:
= Contribution margin/net operating income
= $375,000/$97,500
= 3.85
Your firm has net income of $245 on total sales of $1,080. Costs are $610 and depreciation is $120. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow
Answer:
the operating cash flow is $365
Explanation:
the computation of the operating cash flow is shown below:
operating cash flow is
= Net income + depreciation expense
= $245 + $120
= $365
hence, the operating cash flow is $365
We simply added the net income and the depreciation expense to determine the operating cash flow
Borland, Inc. issues 25-year semi-annual bonds that have a face value of $1,000 and a coupon rate of 7.5%. The current market price for the bonds is $950.00. If your required rate of return is 8.5%, what is the value of one of these bonds to you
Answer: $897.03
Explanation:
You can use Excel to calculate this.
The bond is a semi-annual bond so you need to adjust the variable for this first.
Number of periods = 25 * 2 = 50 semi-annual periods
Coupon = 7.5% * 1,000 * 0.5 semi-annual adjustment = $37.50
Yield = 8.5% / 2 = 4.25%
Value to you = $897.03
and Associates, a law firm, paid $30000 for 12 months' rent in advance on October 1 of the current year. The company's fiscal year-end is December 31. Prepare the journal entries for the rent payment on October 1 and the necessary adjusting journal entry on December 31. Omit explanations
Answer and Explanation:
The journal entries are shown below:
On Oct 1
Rent expense Dr $30,000
to cash $30,000
(being cash paid)
Here rent expense is debited as it increased the expense and credited the cash as it decreased the assets
On Dec 31
Rent expense Dr ($30,000 × 9 ÷ 12) $22,500
To prepaid rent $22,500
(being rent expense is recorded)
Here ent expense is debited as it increased the expense and credited the prepaid rent as it decreased the assets
A stronger euro is less favorable for:
Group of answer choices.
A. German tourists traveling abroad.
B. American tourists traveling in France.
C. Canadian firms selling in Germany.
D. Canadian investors with money investments in Germany.
Answer:
B. American tourists traveling in France.
Explanation:
A foreign exchange market can be defined as a type of market where the currency of a country is converted to that of another country.
For example, the conversion of the United States of America dollars into naira, rands, yen, pounds, euros, etc., at the foreign exchange market.
In this context, a stronger euro is less favorable for American tourists traveling in France because the currency of the Americans, which is the U.S dollars would exchange at a far lesser rate to the euros.
However, a stronger euro would be more favorable for German tourists that are traveling abroad, Canadian firms that trade or sells its products in Germany, and Canadian investors who are having money investments in Germany.
Note: Euro is the official currency (legal tender or money) of Germany.
Considering the available options, a stronger euro is less favorable for "American tourists traveling in France."
This is because the United States of America uses the dollar as currency, while European countries, including France, are using Euro.
Thus, should an American carry dollar to France, and meets a stronger Euro, has a value of money (dollar) would be reduced, and therefore would be less favorable to him.
Option A is wrong because German tourists traveling abroad are favorable to the German as the Euro is stronger.
Option C is wrong because Canadian firms selling in Germany would earn in Euro, thereby getting money with more value.
Option D is wrong because Canadian investors with money investments in Germany would earn in Euro.
Hence, in this case, it is concluded that the correct answer is option B. "American tourists traveling in France."
Group of answer choices.
A. German tourists traveling abroad.
B. American tourists traveling in France.
C. Canadian firms selling in Germany.
D. Canadian investors with money investments in Germany.
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The unit quantity standard of a product is 3 pounds per package, and the unit quantity standard for machine hours is 0.40 hours per package. During August, 190,000 packages were produced. 430,000 pounds and 77,000 hours were used in production. How many pounds and how many machine hours should have been used for the actual output
Answer:
Standard pounds= 570,000 pounds
Standard hours= 76,000 hours
Explanation:
Giving the following information:
Standard pounds= 3 pounds per package
Standard hours= 0.40 hours per package.
During August, 190,000 packages were produced.
To calculate the standard quantity of pounds and hours that should have been used, we need to multiply the standard rate whit the actual output.
Standard pounds= 190,000*3= 570,000 pounds
Standard hours= 0.4*190,000= 76,000 hours
(a) A lamp has two bulbs of a type with an average lifetime of 1800 hours. Assuming that we can model the probability of failure of these bulbs by an exponential density function with mean μ = 1800, find the probability that both of the lamp's bulbs fail within 2000 hours.
(b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1000 hours.
Answer:
a) 0.45
b) 0.11
Explanation:
A) P( both bulbs fail within 2000 hours ) = 0.45
Given data:
Average lifetime of bulbs = 1800 hours
mean μ = 1800
b) P( both bulbs fail within 1000 hours ) =
Attached below is a detailed solution of the given question
In a project schedule, the sequence of activities which cannot be delayed during the course of the project without extending the project end date is referred to as the:
Answer:
Critical path
Explanation:
Project
This is simply known as a temporary work with a clearly state out timeframe or timeline from its starting (beginning) to the ending. it often brings about a unique product, service, or event. The various tasks in a project is specific to the defined project goal or objective and can be described within limits of time.
Critical path
This is simply regarded as the longest path via a network diagram, that shows the shortest amount of time by when project can or should be completed. the critical path method commonly called CPM is broken down into:
Earliest start time (ES) - This is simply the fastest or earliest a said activity can start without starting before any formal activities.
Earliest finish time (EF) - This is how fast or earliest an activity can finish.
Latest start time (LS) - This is simply known as the latest time an activity can start without delaying the entire project.
Latest finish time (LF) - This is simply the latest time an activity can finish without delaying the entire project.
Critical Path Analysis is a known project management tool that lets out all the individual activities that make up a larger project and it often shows the order in which activities have to be undertaken etc,
Darius Miller is seeking to accumulate $50,000 in six years to invest in a real estate venture. He can earn 6.35 percent annual interest with monthly compounding in private investment. How much will he have to invest today to reach his goal? (Round to the nearest dollar.)
Answer:
$34193
Explanation:
Given :
Final amount, A = $50000
Interest, rate, r = 6.35% compounded monthly
Period, t = 6 years
n = number of compounding times per period, monthly = 12 times per period
Amount to be invested, P = principal
Using the relation :
A = P(1 + r/n)^n*t
50,000 = P(1 + 0.0635/12)^(12*6)
50000 = P(1 + 0.0052916)^72
50000 = P(1.0052916)^72
50000 = 1.4622779P
P = 50000 / 1.4622779
P = $34193.226
Amount to be invested today in other to have compounded $50000 in 6 years is $34193.226
To the nearest $ = $34193
Your team is working hard to develop a strategy to serve a new client. Which of the following actions is most important to ensuring an effective strategy is chosen?
a. Suggest that each proposed strategy be evaluated against a set of key objectives.
b. Invite the client into a meeting to shape the strategy.
c. Conduct a benchmarking survey of similar clients to determine best strategy.
d. Ask the team member with the most industry-related experience to lead the process.
Answer:
b. Invite the client into a meeting to shape the strategy.
Explanation:
It is very important when we invited the client for meeting so that we are able to share the strategy as the open and loose could be discussed in a proper way and in easy way also the suggestions are also welcome. In addition to this, the strategy should be taken place as per the preferences, requirements and choices of the clients
Therefore the option b is correct
Consider the market for orange juice. Suppose two events occurred last week. During the course of this past week, the price of oranges (used in the production of orange juice) decreased. At the same time, the price of coke (a substitute for orange juice) doubled. What are the likely effects of these TWO events on the equilibrium quantity Q* and price P* of orange juice
Answer:
these two events would lead to an increase in equilibrium quantity and have an indeterminate effect on equilibrium price
Explanation:
As a result of the decrease in the price of oranges which is use in the production of orange juice, there would be a rightward shift of the supply curve for orange juice. A a result, the supply of orange juice would increase and price of orange juice would fall
Substitute goods are goods that can be used in place of another good.
The doubling of the price of coke would lead to a decrease in the demand for coke and an increase in the demand for orange juice. This would shift the dead curve for orange juice to the right. As a result, both equilibrium price and quantity increases
these two events would lead to an increase in equilibrium quantity and have an indeterminate effect on equilibrium price
